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Search results for: PI controllers
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text-center" style="font-size:1.6rem;">Search results for: PI controllers</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">225</span> PSS and SVC Controller Design by BFA to Enhance the Power System Stability</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Saeid%20Jalilzadeh">Saeid Jalilzadeh</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Designing of PSS and SVC controller based on Bacterial Foraging Algorithm (BFA) to improve the stability of power system is proposed in this paper. Same controllers for PSS and SVC has been considered and Single machine infinite bus (SMIB) system with SVC located at the terminal of generator is used to evaluate the proposed controllers. BFA is used to optimize the coefficients of the controllers. Finally simulation for a special disturbance as an input power of generator with the proposed controllers in order to investigate the dynamic behavior of generator is done. The simulation results demonstrate that the system composed with optimized controllers has an outstanding operation in fast damping of oscillations of power system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=PSS" title="PSS">PSS</a>, <a href="https://publications.waset.org/abstracts/search?q=SVC" title=" SVC"> SVC</a>, <a href="https://publications.waset.org/abstracts/search?q=SMIB" title=" SMIB"> SMIB</a>, <a href="https://publications.waset.org/abstracts/search?q=optimize%20controller" title=" optimize controller"> optimize controller</a> </p> <a href="https://publications.waset.org/abstracts/15396/pss-and-svc-controller-design-by-bfa-to-enhance-the-power-system-stability" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/15396.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">457</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">224</span> Robust Fractional Order Controllers for Minimum and Non-Minimum Phase Systems – Studies on Design and Development</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Anand%20Kishore%20Kola">Anand Kishore Kola</a>, <a href="https://publications.waset.org/abstracts/search?q=G.%20Uday%20Bhaskar%20Babu"> G. Uday Bhaskar Babu</a>, <a href="https://publications.waset.org/abstracts/search?q=Kotturi%20Ajay%20Kumar"> Kotturi Ajay Kumar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The modern dynamic systems used in industries are complex in nature and hence the fractional order controllers have been contemplated as a fresh approach to control system design that takes the complexity into account. Traditional integer order controllers use integer derivatives and integrals to control systems, whereas fractional order controllers use fractional derivatives and integrals to regulate memory and non-local behavior. This study provides a method based on the maximumsensitivity (Ms) methodology to discover all resilient fractional filter Internal Model Control - proportional integral derivative (IMC-PID) controllers that stabilize the closed-loop system and deliver the highest performance for a time delay system with a Smith predictor configuration. Additionally, it helps to enhance the range of PID controllers that are used to stabilize the system. This study also evaluates the effectiveness of the suggested controller approach for minimum phase system in comparison to those currently in use which are based on Integral of Absolute Error (IAE) and Total Variation (TV). <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=modern%20dynamic%20systems" title="modern dynamic systems">modern dynamic systems</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional%20order%20controllers" title=" fractional order controllers"> fractional order controllers</a>, <a href="https://publications.waset.org/abstracts/search?q=maximum-sensitivity" title=" maximum-sensitivity"> maximum-sensitivity</a>, <a href="https://publications.waset.org/abstracts/search?q=IMC-PID%20controllers" title=" IMC-PID controllers"> IMC-PID controllers</a>, <a href="https://publications.waset.org/abstracts/search?q=Smith%20predictor" title=" Smith predictor"> Smith predictor</a>, <a href="https://publications.waset.org/abstracts/search?q=IAE%20and%20TV" title=" IAE and TV"> IAE and TV</a> </p> <a href="https://publications.waset.org/abstracts/181141/robust-fractional-order-controllers-for-minimum-and-non-minimum-phase-systems-studies-on-design-and-development" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/181141.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">64</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">223</span> MIMO PID Controller of a Power Plant Boiler–Turbine Unit</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=N.%20Ben-Mahmoud">N. Ben-Mahmoud</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Elfandi"> M. Elfandi</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20Shallof"> A. Shallof </a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a methodology to design multivariable PID controllers for multi-input and multi-output systems. The proposed control strategy, which is centralized, combines of PID controllers. The proportional gains in the P controllers act as tuning parameters of (SISO) in order to modify the behavior of the loops almost independently. The design procedure consists of three steps: first, an ideal decoupler including integral action is determined. Second, the decoupler is approximated with PID controllers. Third, the proportional gains are tuned to achieve the specified performance. The proposed method is applied to representative processes. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=boiler%20turbine" title="boiler turbine">boiler turbine</a>, <a href="https://publications.waset.org/abstracts/search?q=MIMO" title=" MIMO"> MIMO</a>, <a href="https://publications.waset.org/abstracts/search?q=PID%20controller" title=" PID controller"> PID controller</a>, <a href="https://publications.waset.org/abstracts/search?q=control%20by%20decoupling" title=" control by decoupling"> control by decoupling</a>, <a href="https://publications.waset.org/abstracts/search?q=anti%20wind-up%20techniques" title=" anti wind-up techniques"> anti wind-up techniques</a> </p> <a href="https://publications.waset.org/abstracts/12750/mimo-pid-controller-of-a-power-plant-boiler-turbine-unit" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/12750.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">326</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">222</span> Quadrotor in Horizontal Motion Control and Maneuverability</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ali%20Oveysi%20Sarabi">Ali Oveysi Sarabi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, controller design for the attitude and altitude dynamics of an outdoor quadrotor, which is constructed with low cost actuators and drivers, is aimed. Before designing the controller, the quadrotor is modeled mathematically in Matlab-Simulink environment. To control attitude dynamics, linear quadratic regulator (LQR) based controllers are designed, simulated and applied to the system. Two different proportional-integral-derivative action (PID) controllers are designed to control yaw and altitude dynamics. During the implementation of the designed controllers, different test setups are used. Designed controllers are implemented and tuned on the real system using xPC Target. Tests show that these basic control structures are successful to control the attitude and altitude dynamics. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=helicopter%20balance" title="helicopter balance">helicopter balance</a>, <a href="https://publications.waset.org/abstracts/search?q=flight%20dynamics" title=" flight dynamics"> flight dynamics</a>, <a href="https://publications.waset.org/abstracts/search?q=autonomous%20landing" title=" autonomous landing"> autonomous landing</a>, <a href="https://publications.waset.org/abstracts/search?q=control%20robotics" title=" control robotics"> control robotics</a> </p> <a href="https://publications.waset.org/abstracts/19100/quadrotor-in-horizontal-motion-control-and-maneuverability" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/19100.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">509</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">221</span> Optimal Voltage and Frequency Control of a Microgrid Using the Harmony Search Algorithm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hossein%20Abbasi">Hossein Abbasi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The stability is an important topic to plan and manage the energy in the microgrids as the same as the conventional power systems. The voltage and frequency stability is one of the most important issues recently studied in microgrids. The objectives of this paper are the modelling and designing of the components and optimal controllers for the voltage and frequency control of the AC/DC hybrid microgrid under the different disturbances. Since the PI controllers have the advantages of simple structure and easy implementation, so they are designed and modeled in this paper. The harmony search (HS) algorithm is used to optimize the controllers’ parameters. According to the achieved results, the PI controllers have a good performance in voltage and frequency control of the microgrid. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=frequency%20control" title="frequency control">frequency control</a>, <a href="https://publications.waset.org/abstracts/search?q=HS%20algorithm" title=" HS algorithm"> HS algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=microgrid" title=" microgrid"> microgrid</a>, <a href="https://publications.waset.org/abstracts/search?q=PI%20controller" title=" PI controller"> PI controller</a>, <a href="https://publications.waset.org/abstracts/search?q=voltage%20control" title=" voltage control"> voltage control</a> </p> <a href="https://publications.waset.org/abstracts/42762/optimal-voltage-and-frequency-control-of-a-microgrid-using-the-harmony-search-algorithm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/42762.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">391</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">220</span> Role of Self-Concept in the Relationship between Emotional Abuse and Mental Health of Employees in the North West Province, South Africa</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=L.%20Matlawe">L. Matlawe</a>, <a href="https://publications.waset.org/abstracts/search?q=E.%20S.%20Idemudia"> E. S. Idemudia</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The stability is an important topic to plan and manage the energy in the microgrids as the same as the conventional power systems. The voltage and frequency stability is one of the most important issues recently studied in microgrids. The objectives of this paper are the modeling and designing of the components and optimal controllers for the voltage and frequency control of the AC/DC hybrid microgrid under the different disturbances. Since the PI controllers have the advantages of simple structure and easy implementation, so they were designed and modeled in this paper. The harmony search (HS) algorithm is used to optimize the controllers’ parameters. According to the achieved results, the PI controllers have a good performance in voltage and frequency control of the microgrid. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=emotional%20abuse" title="emotional abuse">emotional abuse</a>, <a href="https://publications.waset.org/abstracts/search?q=employees" title=" employees"> employees</a>, <a href="https://publications.waset.org/abstracts/search?q=mental%20health" title=" mental health"> mental health</a>, <a href="https://publications.waset.org/abstracts/search?q=self-concept" title=" self-concept"> self-concept</a> </p> <a href="https://publications.waset.org/abstracts/46608/role-of-self-concept-in-the-relationship-between-emotional-abuse-and-mental-health-of-employees-in-the-north-west-province-south-africa" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/46608.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">256</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">219</span> Implementation and Design of Fuzzy Controller for High Performance Dc-Dc Boost Converters</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Mansouri">A. Mansouri</a>, <a href="https://publications.waset.org/abstracts/search?q=F.%20Krim"> F. Krim</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper discusses the implementation and design of both linear PI and fuzzy controllers for DC-DC boost converters. Design of PI controllers is based on temporal response of closed-loop converters, while fuzzy controllers design is based on heuristic knowledge of boost converters. Linear controller implementation is quite straightforward relying on mathematical models, while fuzzy controller implementation employs one or more artificial intelligences techniques. Comparison between these boost controllers is made in design aspect. Experimental results show that the proposed fuzzy controller system is robust against input voltage and load resistance changing and in respect of start-up transient. Results indicate that fuzzy controller can achieve best control performance concerning faster transient response, steady-state response good stability and accuracy under different operating conditions. Fuzzy controller is more suitable to control boost converters. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=boost%20DC-DC%20converter" title="boost DC-DC converter">boost DC-DC converter</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy" title=" fuzzy"> fuzzy</a>, <a href="https://publications.waset.org/abstracts/search?q=PI%20controllers" title=" PI controllers"> PI controllers</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20electronics%20and%20control%20system" title=" power electronics and control system "> power electronics and control system </a> </p> <a href="https://publications.waset.org/abstracts/25094/implementation-and-design-of-fuzzy-controller-for-high-performance-dc-dc-boost-converters" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/25094.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">475</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">218</span> Fuzzy and Fuzzy-PI Controller for Rotor Speed of Gas Turbine</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mandar%20Ghodekar">Mandar Ghodekar</a>, <a href="https://publications.waset.org/abstracts/search?q=Sharad%20Jadhav"> Sharad Jadhav</a>, <a href="https://publications.waset.org/abstracts/search?q=Sangram%20Jadhav"> Sangram Jadhav</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Speed control of rotor during startup and under varying load conditions is one of the most difficult tasks of gas turbine operation. In this paper, power plant gas turbine (GE9001E) is considered for this purpose and fuzzy and fuzzy-PI rotor speed controllers are designed. The goal of the presented controllers is to keep the turbine rotor speed within predefined limits during startup condition as well as during operating condition. The fuzzy controller and fuzzy-PI controller are designed using Takagi-Sugeno method and Mamdani method, respectively. In applying the fuzzy-PI control to a gas-turbine plant, the tuning parameters (Kp and Ki) are modified online by fuzzy logic approach. Error and rate of change of error are inputs and change in fuel flow is output for both the controllers. Hence, rotor speed of gas turbine is controlled by modifying the fuel flow. The identified linear ARX model of gas turbine is considered while designing the controllers. For simulations, demand power is taken as disturbance input. It is assumed that inlet guide vane (IGV) position is fixed. In addition, the constraint on the fuel flow is taken into account. The performance of the presented controllers is compared with each other as well as with H∞ robust and MPC controllers for the same operating conditions in simulations. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=gas%20turbine" title="gas turbine">gas turbine</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20controller" title=" fuzzy controller"> fuzzy controller</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20PI%20controller" title=" fuzzy PI controller"> fuzzy PI controller</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20plant" title=" power plant"> power plant</a> </p> <a href="https://publications.waset.org/abstracts/41546/fuzzy-and-fuzzy-pi-controller-for-rotor-speed-of-gas-turbine" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/41546.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">334</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">217</span> Comparison of Proportional-Integral (P-I) and Integral-Propotional (I-P) Controllers for Speed Control in Vector Controlled Permanent Magnet Synchronous Motor Drive</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=V.%20Srikanth">V. Srikanth</a>, <a href="https://publications.waset.org/abstracts/search?q=K.%20Balasubramanian"> K. Balasubramanian</a>, <a href="https://publications.waset.org/abstracts/search?q=Rajath%20R.%20Bhat"> Rajath R. Bhat</a>, <a href="https://publications.waset.org/abstracts/search?q=A.%20S.%20Arjun"> A. S. Arjun</a>, <a href="https://publications.waset.org/abstracts/search?q=Nandhu%20Venugopal"> Nandhu Venugopal</a>, <a href="https://publications.waset.org/abstracts/search?q=Ananthu%20Unnikrishnan"> Ananthu Unnikrishnan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Indirect vector control is known to produce high performance in Permanent Magnet Synchronous Motor (PMSM) drives by decoupling flux and torque producing current components of stator current. The most commonly used controller or the vector control of AC motor is Proportional-Integral (P-I) controller. However, the P-I controller has some disadvantages such as high starting overshoot, sensitivity to controller gains and slower response to sudden disturbance. Therefore, the Integral-Proportional controller for PMSM drives to overcome the disadvantages of the P-I controller. Simulations results are presented and analyzed for both controllers and it is observed that Integral-Proportional (I-P) controllers give better responses than the traditional P-I controllers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=PMSM" title="PMSM">PMSM</a>, <a href="https://publications.waset.org/abstracts/search?q=FOC" title=" FOC"> FOC</a>, <a href="https://publications.waset.org/abstracts/search?q=PI%20controller" title=" PI controller"> PI controller</a>, <a href="https://publications.waset.org/abstracts/search?q=IP%20controller" title=" IP controller"> IP controller</a> </p> <a href="https://publications.waset.org/abstracts/51399/comparison-of-proportional-integral-p-i-and-integral-propotional-i-p-controllers-for-speed-control-in-vector-controlled-permanent-magnet-synchronous-motor-drive" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/51399.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">359</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">216</span> Comparison Between PID and PD Controllers for 4 Cable-Based Robots</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fouad%20Inel">Fouad Inel</a>, <a href="https://publications.waset.org/abstracts/search?q=Lakhdar%20Khochemane"> Lakhdar Khochemane</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This article presents a comparative response specification performance between two controllers of three and four cable based robots for various applications. The main objective of this work is: the first is to use the direct and inverse geometric model to study and simulate the end effector position of the robot with three and four cables. A graphical user interface has been implemented in order to visualizing the position of the robot. Secondly, we present the determination of static and dynamic tensions and lengths of cables required to flow different trajectories. At the end, we study the response of our systems in closed loop with a Proportional-IntegratedDerivative (PID) and Proportional-Integrated (PD) controllers then this last are compared the results of the same examples using MATLAB/Simulink; we found that the PID method gives the better performance, such as rapidly speed response, settling time, compared to PD controller. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=dynamic%20modeling" title="dynamic modeling">dynamic modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=geometric%20modeling" title=" geometric modeling"> geometric modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=graphical%20user%20interface" title=" graphical user interface"> graphical user interface</a>, <a href="https://publications.waset.org/abstracts/search?q=open%20loop" title=" open loop"> open loop</a>, <a href="https://publications.waset.org/abstracts/search?q=parallel%20cable-based%20robots" title=" parallel cable-based robots"> parallel cable-based robots</a>, <a href="https://publications.waset.org/abstracts/search?q=PID%2FPD%20controllers" title=" PID/PD controllers "> PID/PD controllers </a> </p> <a href="https://publications.waset.org/abstracts/24470/comparison-between-pid-and-pd-controllers-for-4-cable-based-robots" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/24470.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">421</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">215</span> Comparison Performance between PID and PD Controllers for 3 and 4 Cable-Based Robots </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fouad.%20Inel">Fouad. Inel</a>, <a href="https://publications.waset.org/abstracts/search?q=Lakhdar.%20Khochemane"> Lakhdar. Khochemane </a> </p> <p class="card-text"><strong>Abstract:</strong></p> This article presents a comparative response specification performance between two controllers of three and four cable based robots for various applications. The main objective of this work is: The first is to use the direct and inverse geometric model to study and simulate the end effector position of the robot with three and four cables. A graphical user interface has been implemented in order to visualizing the position of the robot. Secondly, we present the determination of static and dynamic tensions and lengths of cables required to flow different trajectories. At the end, we study the response of our systems in closed loop with a Proportional-Integrated Derivative (PID) and Proportional-Integrated (PD) controllers then this last are compared the results of the same examples using MATLAB/Simulink; we found that the PID method gives the better performance, such as rapidly speed response, settling time, compared to PD controller. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=parallel%20cable-based%20robots" title="parallel cable-based robots">parallel cable-based robots</a>, <a href="https://publications.waset.org/abstracts/search?q=geometric%20modeling" title=" geometric modeling"> geometric modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=dynamic%20modeling" title=" dynamic modeling"> dynamic modeling</a>, <a href="https://publications.waset.org/abstracts/search?q=graphical%20user%20interface" title=" graphical user interface"> graphical user interface</a>, <a href="https://publications.waset.org/abstracts/search?q=open%20loop" title=" open loop"> open loop</a>, <a href="https://publications.waset.org/abstracts/search?q=PID%2FPD%20controllers" title=" PID/PD controllers"> PID/PD controllers</a> </p> <a href="https://publications.waset.org/abstracts/13689/comparison-performance-between-pid-and-pd-controllers-for-3-and-4-cable-based-robots" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/13689.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">450</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">214</span> A Boundary Backstepping Control Design for 2-D, 3-D and N-D Heat Equation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Aziz%20Sezgin">Aziz Sezgin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We consider the problem of stabilization of an unstable heat equation in a 2-D, 3-D and generally n-D domain by deriving a generalized backstepping boundary control design methodology. To stabilize the systems, we design boundary backstepping controllers inspired by the 1-D unstable heat equation stabilization procedure. We assume that one side of the boundary is hinged and the other side is controlled for each direction of the domain. Thus, controllers act on two boundaries for 2-D domain, three boundaries for 3-D domain and ”n” boundaries for n-D domain. The main idea of the design is to derive ”n” controllers for each of the dimensions by using ”n” kernel functions. Thus, we obtain ”n” controllers for the ”n” dimensional case. We use a transformation to change the system into an exponentially stable ”n” dimensional heat equation. The transformation used in this paper is a generalized Volterra/Fredholm type with ”n” kernel functions for n-D domain instead of the one kernel function of 1-D design. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=backstepping" title="backstepping">backstepping</a>, <a href="https://publications.waset.org/abstracts/search?q=boundary%20control" title=" boundary control"> boundary control</a>, <a href="https://publications.waset.org/abstracts/search?q=2-D" title=" 2-D"> 2-D</a>, <a href="https://publications.waset.org/abstracts/search?q=3-D" title="3-D">3-D</a>, <a href="https://publications.waset.org/abstracts/search?q=n-D%20heat%0D%0Aequation" title="n-D heat equation">n-D heat equation</a>, <a href="https://publications.waset.org/abstracts/search?q=distributed%20parameter%20systems" title=" distributed parameter systems"> distributed parameter systems</a> </p> <a href="https://publications.waset.org/abstracts/34150/a-boundary-backstepping-control-design-for-2-d-3-d-and-n-d-heat-equation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/34150.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">404</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">213</span> An Integrated DANP-PROMETHEE II Approach for Air Traffic Controllers’ Workload Stress Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jennifer%20Loar">Jennifer Loar</a>, <a href="https://publications.waset.org/abstracts/search?q=Jason%20Montefalcon"> Jason Montefalcon</a>, <a href="https://publications.waset.org/abstracts/search?q=Kissy%20Mae%20Alimpangog"> Kissy Mae Alimpangog</a>, <a href="https://publications.waset.org/abstracts/search?q=Miriam%20Bongo"> Miriam Bongo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The demanding, professional roles that air traffic controllers (ATC) play in air transport operation provided the main motivation of this paper. As the controllers’ workload stress becomes more complex due to various stressors, the challenge to overcome these in the pursuit of improving the efficiency of controllers and safety level of aircrafts has been relevant. Therefore, in order to determine the main stressors and surface the best alternative, two widely-known multi-criteria decision-making (MCDM) methods, DANP and PROMETHEE II, are applied. The proposed method is demonstrated in a case study at Mactan Civil Aviation Authority of the Philippines (CAAP). The results showed that the main stressors are high air traffic volume, extraneous traffic, unforeseen events, limitations and reliability of equipment, noise/distracter, micro climate, bad posture, relations with supervisors and colleagues, private life conditions/relationships, and emotional conditions. In the outranking of alternatives, compartmentalization is believed to be the most preferred alternative to overcome controllers’ workload stress. This implies that compartmentalization can best be applied to reduce controller workload stress. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=air%20traffic%20controller" title="air traffic controller">air traffic controller</a>, <a href="https://publications.waset.org/abstracts/search?q=DANP" title=" DANP"> DANP</a>, <a href="https://publications.waset.org/abstracts/search?q=MCDM" title=" MCDM"> MCDM</a>, <a href="https://publications.waset.org/abstracts/search?q=PROMETHEE%20II" title=" PROMETHEE II"> PROMETHEE II</a>, <a href="https://publications.waset.org/abstracts/search?q=workload%20stress" title=" workload stress"> workload stress</a> </p> <a href="https://publications.waset.org/abstracts/59239/an-integrated-danp-promethee-ii-approach-for-air-traffic-controllers-workload-stress-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/59239.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">269</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">212</span> Number of Necessary Parameters for Parametrization of Stabilizing Controllers for two times two RHinf Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kazuyoshi%20Mori">Kazuyoshi Mori</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we consider the number of parameters for the parametrization of stabilizing controllers for RHinf systems with size 2 × 2. Fortunately, any plant of this model can admit doubly coprime factorization. Thus we can use the Youla parameterization to parametrize the stabilizing contollers . However, Youla parameterization does not give itself the minimal number of parameters. This paper shows that the minimal number of parameters is four. As a result, we show that the Youla parametrization naturally gives the parameterization of stabilizing controllers with minimal numbers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=RHinfo" title="RHinfo">RHinfo</a>, <a href="https://publications.waset.org/abstracts/search?q=parameterization" title=" parameterization"> parameterization</a>, <a href="https://publications.waset.org/abstracts/search?q=number%20of%20parameters" title=" number of parameters"> number of parameters</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-input" title=" multi-input"> multi-input</a>, <a href="https://publications.waset.org/abstracts/search?q=multi-output%20systems" title=" multi-output systems"> multi-output systems</a> </p> <a href="https://publications.waset.org/abstracts/33703/number-of-necessary-parameters-for-parametrization-of-stabilizing-controllers-for-two-times-two-rhinf-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/33703.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">407</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">211</span> H-Infinity and RST Position Controllers of Rotary Traveling Wave Ultrasonic Motor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Brahim">M. Brahim</a>, <a href="https://publications.waset.org/abstracts/search?q=I.%20Bahri"> I. Bahri</a>, <a href="https://publications.waset.org/abstracts/search?q=Y.%20Bernard"> Y. Bernard</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Traveling Wave Ultrasonic Motor (TWUM) is a compact, precise, and silent actuator generating high torque at low speed without gears. Moreover, the TWUM has a high holding torque without supply, which makes this motor as an attractive solution for holding position of robotic arms. However, their nonlinear dynamics, and the presence of load-dependent dead zones often limit their use. Those issues can be overcome in closed loop with effective and precise controllers. In this paper, robust H-infinity (H∞) and discrete time RST position controllers are presented. The H∞ controller is designed in continuous time with additional weighting filters to ensure the robustness in the case of uncertain motor model and external disturbances. Robust RST controller based on the pole placement method is also designed and compared to the H∞. Simulink model of TWUM is used to validate the stability and the robustness of the two proposed controllers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=piezoelectric%20motors" title="piezoelectric motors">piezoelectric motors</a>, <a href="https://publications.waset.org/abstracts/search?q=position%20control" title=" position control"> position control</a>, <a href="https://publications.waset.org/abstracts/search?q=H%E2%88%9E" title=" H∞"> H∞</a>, <a href="https://publications.waset.org/abstracts/search?q=RST" title=" RST"> RST</a>, <a href="https://publications.waset.org/abstracts/search?q=stability%20criteria" title=" stability criteria"> stability criteria</a>, <a href="https://publications.waset.org/abstracts/search?q=robustness" title=" robustness"> robustness</a> </p> <a href="https://publications.waset.org/abstracts/55691/h-infinity-and-rst-position-controllers-of-rotary-traveling-wave-ultrasonic-motor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/55691.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">244</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">210</span> A New Approach to the Digital Implementation of Analog Controllers for a Power System Control</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=G.%20Shabib">G. Shabib</a>, <a href="https://publications.waset.org/abstracts/search?q=Esam%20H.%20Abd-Elhameed"> Esam H. Abd-Elhameed</a>, <a href="https://publications.waset.org/abstracts/search?q=G.%20Magdy"> G. Magdy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a comparison of discrete time PID, PSS controllers is presented through small signal stability of power system comprising of one machine connected to infinite bus system. This comparison achieved by using a new approach of discretization which converts the S-domain model of analog controllers to a Z-domain model to enhance the damping of a single machine power system. The new method utilizes the Plant Input Mapping (PIM) algorithm. The proposed algorithm is stable for any sampling rate, as well as it takes the closed loop characteristic into consideration. On the other hand, the traditional discretization methods such as Tustin’s method is produce satisfactory results only; when the sampling period is sufficiently low. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=PSS" title="PSS">PSS</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20system%20stabilizer%20PID" title=" power system stabilizer PID"> power system stabilizer PID</a>, <a href="https://publications.waset.org/abstracts/search?q=proportional-integral-derivative%20PIM" title=" proportional-integral-derivative PIM"> proportional-integral-derivative PIM</a>, <a href="https://publications.waset.org/abstracts/search?q=plant%20input%20mapping" title=" plant input mapping"> plant input mapping</a> </p> <a href="https://publications.waset.org/abstracts/14891/a-new-approach-to-the-digital-implementation-of-analog-controllers-for-a-power-system-control" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14891.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">505</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">209</span> Adaptive Nonlinear Control of a Variable Speed Horizontal Axis Wind Turbine: Controller for Optimal Power Capture</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rana%20M.%20Mostafa">Rana M. Mostafa</a>, <a href="https://publications.waset.org/abstracts/search?q=Nouby%20M.%20Ghazaly"> Nouby M. Ghazaly</a>, <a href="https://publications.waset.org/abstracts/search?q=Ahmed%20S.%20Ali"> Ahmed S. Ali</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This article introduces a solution for increasing the wind energy extracted from turbines to overcome the more electric power required. This objective provides a new science discipline; wind turbine control. This field depends on the development in power electronics to provide new control strategies for turbines. Those strategies should deal with all turbine operating modes. Here there are two control strategies developed for variable speed horizontal axis wind turbine for rated and over rated wind speed regions. These strategies will support wind energy validation, decrease manufacturing overhead cost. Here nonlinear adaptive method was used to design speed controllers to a scheme for ‘Aeolos50 kw’ wind turbine connected to permanent magnet generator via a gear box which was built on MATLAB/Simulink. These controllers apply maximum power point tracking concept to guarantee goal achievement. Procedures were carried to test both controllers efficiency. The results had been shown that the developed controllers are acceptable and this can be easily declared from simulation results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=adaptive%20method" title="adaptive method">adaptive method</a>, <a href="https://publications.waset.org/abstracts/search?q=pitch%20controller" title=" pitch controller"> pitch controller</a>, <a href="https://publications.waset.org/abstracts/search?q=wind%20energy" title=" wind energy"> wind energy</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20control" title=" nonlinear control"> nonlinear control</a> </p> <a href="https://publications.waset.org/abstracts/78493/adaptive-nonlinear-control-of-a-variable-speed-horizontal-axis-wind-turbine-controller-for-optimal-power-capture" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/78493.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">243</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">208</span> A Platform to Analyze Controllers for Solar Hot Water Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Aziz%20Ahmad">Aziz Ahmad</a>, <a href="https://publications.waset.org/abstracts/search?q=Guillermo%20Ramirez-Prado"> Guillermo Ramirez-Prado</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Governments around the world encourage the use of solar water heating in residential houses due to the low maintenance requirements and efficiency of the solar collector water heating systems. The aim of this work is to study a domestic solar water heating system in a residential building to develop a model of the entire solar water heating system including flat-plate solar collector and storage tank. The proposed model is adaptable to any households and location. The model can be used to test different types of controllers and can provide efficiency as well as economic analysis. The proposed model is based on the heat and mass transfer equations along with assumptions applied in the model which can be modified for a variety of different solar water heating systems and sizes. Simulation results of the model were compared with the actual system which shows similar trends. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=solar%20thermal%20systems" title="solar thermal systems">solar thermal systems</a>, <a href="https://publications.waset.org/abstracts/search?q=solar%20water%20heating" title=" solar water heating"> solar water heating</a>, <a href="https://publications.waset.org/abstracts/search?q=solar%20collector%20model" title=" solar collector model"> solar collector model</a>, <a href="https://publications.waset.org/abstracts/search?q=hot%20water%20tank%20model" title=" hot water tank model"> hot water tank model</a>, <a href="https://publications.waset.org/abstracts/search?q=solar%20controllers" title=" solar controllers"> solar controllers</a> </p> <a href="https://publications.waset.org/abstracts/108490/a-platform-to-analyze-controllers-for-solar-hot-water-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/108490.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">270</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">207</span> Improve Closed Loop Performance and Control Signal Using Evolutionary Algorithms Based PID Controller</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mehdi%20Shahbazian">Mehdi Shahbazian</a>, <a href="https://publications.waset.org/abstracts/search?q=Alireza%20Aarabi"> Alireza Aarabi</a>, <a href="https://publications.waset.org/abstracts/search?q=Mohsen%20Hadiyan"> Mohsen Hadiyan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Proportional-Integral-Derivative (PID) controllers are the most widely used controllers in industry because of its simplicity and robustness. Different values of PID parameters make different step response, so an increasing amount of literature is devoted to proper tuning of PID controllers. The problem merits further investigation as traditional tuning methods make large control signal that can damages the system but using evolutionary algorithms based tuning methods improve the control signal and closed loop performance. In this paper three tuning methods for PID controllers have been studied namely Ziegler and Nichols, which is traditional tuning method and evolutionary algorithms based tuning methods, that are, Genetic algorithm and particle swarm optimization. To examine the validity of PSO and GA tuning methods a comparative analysis of DC motor plant is studied. Simulation results reveal that evolutionary algorithms based tuning method have improved control signal amplitude and quality factors of the closed loop system such as rise time, integral absolute error (IAE) and maximum overshoot. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=evolutionary%20algorithm" title="evolutionary algorithm">evolutionary algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=genetic%20algorithm" title=" genetic algorithm"> genetic algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=particle%20swarm%20optimization" title=" particle swarm optimization"> particle swarm optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=PID%20controller" title=" PID controller"> PID controller</a> </p> <a href="https://publications.waset.org/abstracts/24261/improve-closed-loop-performance-and-control-signal-using-evolutionary-algorithms-based-pid-controller" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/24261.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">483</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">206</span> Intelligent Control of Doubly Fed Induction Generator Wind Turbine for Smart Grid</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Amal%20A.%20Hassan">Amal A. Hassan</a>, <a href="https://publications.waset.org/abstracts/search?q=Faten%20H.%20Fahmy"> Faten H. Fahmy</a>, <a href="https://publications.waset.org/abstracts/search?q=Abd%20El-Shafy%20A.%20Nafeh"> Abd El-Shafy A. Nafeh</a>, <a href="https://publications.waset.org/abstracts/search?q=Hosam%20K.%20M.%20Youssef"> Hosam K. M. Youssef</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Due to the growing penetration of wind energy into the power grid, it is very important to study its interactions with the power system and to provide good control technique in order to deliver high quality power. In this paper, an intelligent control methodology is proposed for optimizing the controllers’ parameters of doubly fed induction generator (DFIG) based wind turbine generation system (WTGS). The genetic algorithm (GA) and particle swarm optimization (PSO) are employed and compared for the parameters adaptive tuning of the proposed proportional integral (PI) multiple controllers of the back to back converters of the DFIG based WTGS. For this purpose, the dynamic model of WTGS with DFIG and its associated controllers is presented. Furthermore, the simulation of the system is performed using MATLAB/SIMULINK and SIMPOWERSYSTEM toolbox to illustrate the performance of the optimized controllers. Finally, this work is validated to 33-bus test radial system to show the interaction between wind distributed generation (DG) systems and the distribution network. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=DFIG%20wind%20turine" title="DFIG wind turine">DFIG wind turine</a>, <a href="https://publications.waset.org/abstracts/search?q=intelligent%20control" title=" intelligent control"> intelligent control</a>, <a href="https://publications.waset.org/abstracts/search?q=distributed%20generation" title=" distributed generation"> distributed generation</a>, <a href="https://publications.waset.org/abstracts/search?q=particle%20swarm%20optimization" title=" particle swarm optimization"> particle swarm optimization</a>, <a href="https://publications.waset.org/abstracts/search?q=genetic%20algorithm" title=" genetic algorithm"> genetic algorithm</a> </p> <a href="https://publications.waset.org/abstracts/71525/intelligent-control-of-doubly-fed-induction-generator-wind-turbine-for-smart-grid" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/71525.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">267</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">205</span> Improving Load Frequency Control of Multi-Area Power System by Considering Uncertainty by Using Optimized Type 2 Fuzzy Pid Controller with the Harmony Search Algorithm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mehrdad%20Mahmudizad">Mehrdad Mahmudizad</a>, <a href="https://publications.waset.org/abstracts/search?q=Roya%20Ahmadi%20Ahangar"> Roya Ahmadi Ahangar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents the method of designing the type 2 fuzzy PID controllers in order to solve the problem of Load Frequency Control (LFC). The Harmony Search (HS) algorithm is used to regulate the measurement factors and the effect of uncertainty of membership functions of Interval Type 2 Fuzzy Proportional Integral Differential (IT2FPID) controllers in order to reduce the frequency deviation resulted from the load oscillations. The simulation results implicitly show that the performance of the proposed IT2FPID LFC in terms of error, settling time and resistance against different load oscillations is more appropriate and preferred than PID and Type 1 Fuzzy Proportional Integral Differential (T1FPID) controllers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=load%20frequency%20control" title="load frequency control">load frequency control</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy-pid%20controller" title=" fuzzy-pid controller"> fuzzy-pid controller</a>, <a href="https://publications.waset.org/abstracts/search?q=type%202%20fuzzy%20system" title=" type 2 fuzzy system"> type 2 fuzzy system</a>, <a href="https://publications.waset.org/abstracts/search?q=harmony%20search%20algorithm" title=" harmony search algorithm"> harmony search algorithm</a> </p> <a href="https://publications.waset.org/abstracts/52340/improving-load-frequency-control-of-multi-area-power-system-by-considering-uncertainty-by-using-optimized-type-2-fuzzy-pid-controller-with-the-harmony-search-algorithm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/52340.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">278</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">204</span> Examples of Parameterization of Stabilizing Controllers with One-Side Coprime Factorization</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kazuyoshi%20Mori">Kazuyoshi Mori</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Examples of parameterization of stabilizing controllers that require only one of right-/left-coprime factorizations are presented. One parameterization method requires one side coprime factorization. The other requires no coprime factorization. The methods are based on the factorization approach so that a number of models can be applied the method we use in this paper. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=parametrization" title="parametrization">parametrization</a>, <a href="https://publications.waset.org/abstracts/search?q=coprime%20factorization" title=" coprime factorization"> coprime factorization</a>, <a href="https://publications.waset.org/abstracts/search?q=factorization%20approach" title=" factorization approach"> factorization approach</a>, <a href="https://publications.waset.org/abstracts/search?q=linear%20systems" title=" linear systems"> linear systems</a> </p> <a href="https://publications.waset.org/abstracts/25890/examples-of-parameterization-of-stabilizing-controllers-with-one-side-coprime-factorization" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/25890.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">373</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">203</span> Artificial Neural Networks Controller for Power System Voltage Improvement </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sabir%20Messalti">Sabir Messalti</a>, <a href="https://publications.waset.org/abstracts/search?q=Bilal%20Boudjellal"> Bilal Boudjellal</a>, <a href="https://publications.waset.org/abstracts/search?q=Azouz%20Said"> Azouz Said</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, power system Voltage improvement using wind turbine is presented. Two controllers are used: a PI controller and Artificial Neural Networks (ANN) controllers are studied to control of the power flow exchanged between the wind turbine and the power system in order to improve the bus voltage. The wind turbine is based on a doubly-fed induction generator (DFIG) controlled by field-oriented control. Indirect control is used to control of the reactive power flow exchanged between the DFIG and the power system. The proposed controllers are tested on power system for large voltage disturbances. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=artificial%20neural%20networks%20controller" title="artificial neural networks controller">artificial neural networks controller</a>, <a href="https://publications.waset.org/abstracts/search?q=DFIG" title=" DFIG"> DFIG</a>, <a href="https://publications.waset.org/abstracts/search?q=field-oriented%20control" title=" field-oriented control"> field-oriented control</a>, <a href="https://publications.waset.org/abstracts/search?q=PI%20controller" title=" PI controller"> PI controller</a>, <a href="https://publications.waset.org/abstracts/search?q=power%20system%20voltage%20improvement" title=" power system voltage improvement"> power system voltage improvement</a> </p> <a href="https://publications.waset.org/abstracts/14265/artificial-neural-networks-controller-for-power-system-voltage-improvement" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/14265.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">462</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">202</span> A Development of Holonomic Mobile Robot Using Fuzzy Multi-Layered Controller</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Seungwoo%20Kim">Seungwoo Kim</a>, <a href="https://publications.waset.org/abstracts/search?q=Yeongcheol%20Cho"> Yeongcheol Cho</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a holonomic mobile robot is designed in omnidirectional wheels and an adaptive fuzzy controller is presented for its precise trajectories. A kind of adaptive controller based on fuzzy multi-layered algorithm is used to solve the big parametric uncertainty of motor-controlled dynamic system of 3-wheels omnidirectional mobile robot. The system parameters such as a tracking force are so time-varying due to the kinematic structure of omnidirectional wheels. The fuzzy adaptive control method is able to solve the problems of classical adaptive controller and conventional fuzzy adaptive controllers. The basic idea of new adaptive control scheme is that an adaptive controller can be constructed with parallel combination of robust controllers. This new adaptive controller uses a fuzzy multi-layered architecture which has several independent fuzzy controllers in parallel, each with different robust stability area. Out of several independent fuzzy controllers, the most suited one is selected by a system identifier which observes variations in the controlled system parameter. This paper proposes a design procedure which can be carried out mathematically and systematically from the model of a controlled system. Finally, the good performance of a holonomic mobile robot is confirmed through live tests of the tracking control task. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20adaptive%20control" title="fuzzy adaptive control">fuzzy adaptive control</a>, <a href="https://publications.waset.org/abstracts/search?q=fuzzy%20multi-layered%20controller" title=" fuzzy multi-layered controller"> fuzzy multi-layered controller</a>, <a href="https://publications.waset.org/abstracts/search?q=holonomic%20mobile%20robot" title=" holonomic mobile robot"> holonomic mobile robot</a>, <a href="https://publications.waset.org/abstracts/search?q=omnidirectional%20wheels" title=" omnidirectional wheels"> omnidirectional wheels</a>, <a href="https://publications.waset.org/abstracts/search?q=robustness%20and%20stability." title=" robustness and stability. "> robustness and stability. </a> </p> <a href="https://publications.waset.org/abstracts/43824/a-development-of-holonomic-mobile-robot-using-fuzzy-multi-layered-controller" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/43824.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">359</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">201</span> Magnetic Levitation Control: A Comparative Analysis of Two-Position and Tuned PID Methods Using Arduino Microcontrollers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Charles%20Anthony%20S.%20Santillan">Charles Anthony S. Santillan</a>, <a href="https://publications.waset.org/abstracts/search?q=Jude%20Noel%20P.%20Jarina"> Jude Noel P. Jarina</a>, <a href="https://publications.waset.org/abstracts/search?q=Patricia%20Mae%20A.%20Cuevas"> Patricia Mae A. Cuevas</a>, <a href="https://publications.waset.org/abstracts/search?q=Julito%20B.%20A%C3%B1ora%20Jr."> Julito B. Añora Jr.</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The research examines the effectiveness of Two-Position and Tuned PID controllers in magnetic levitation systems. Magnetic levitation, a crucial technology in diverse industries, depends on meticulous control mechanisms for stability and performance. The study seeks to compare these two control strategies to ascertain their efficacy in practical applications. The paper explores the theoretical foundations of the controllers, presents an experimental methodology emphasizing setup and installation, and examines the results about stability, response time, and susceptibility to disturbances. By interpreting and discussing the findings, the research provides valuable perspectives on the practical ramifications of utilizing Two-Position and Tuned PID controllers in magnetic levitation systems. The conclusion encapsulates significant outcomes and proposes avenues for future research, thereby contributing to the progress of control strategies in magnetic levitation technology. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=arduino" title="arduino">arduino</a>, <a href="https://publications.waset.org/abstracts/search?q=comparative%20analysis" title=" comparative analysis"> comparative analysis</a>, <a href="https://publications.waset.org/abstracts/search?q=magnetic%20levitation" title=" magnetic levitation"> magnetic levitation</a>, <a href="https://publications.waset.org/abstracts/search?q=tuned%20PID%20controller" title=" tuned PID controller"> tuned PID controller</a>, <a href="https://publications.waset.org/abstracts/search?q=two-position%20controller" title=" two-position controller"> two-position controller</a> </p> <a href="https://publications.waset.org/abstracts/182331/magnetic-levitation-control-a-comparative-analysis-of-two-position-and-tuned-pid-methods-using-arduino-microcontrollers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/182331.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">70</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">200</span> Simulation and Hardware Implementation of Data Communication Between CAN Controllers for Automotive Applications</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=R.%20M.%20Kalayappan">R. M. Kalayappan</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Kathiravan"> N. Kathiravan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In automobile industries, Controller Area Network (CAN) is widely used to reduce the system complexity and inter-task communication. Therefore, this paper proposes the hardware implementation of data frame communication between one controller to other. The CAN data frames and protocols will be explained deeply, here. The data frames are transferred without any collision or corruption. The simulation is made in the KEIL vision software to display the data transfer between transmitter and receiver in CAN. ARM7 micro-controller is used to transfer data’s between the controllers in real time. Data transfer is verified using the CRO. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=control%20area%20network%20%28CAN%29" title="control area network (CAN)">control area network (CAN)</a>, <a href="https://publications.waset.org/abstracts/search?q=automotive%20electronic%20control%20unit" title=" automotive electronic control unit"> automotive electronic control unit</a>, <a href="https://publications.waset.org/abstracts/search?q=CAN%202.0" title=" CAN 2.0"> CAN 2.0</a>, <a href="https://publications.waset.org/abstracts/search?q=industry" title=" industry"> industry</a> </p> <a href="https://publications.waset.org/abstracts/11122/simulation-and-hardware-implementation-of-data-communication-between-can-controllers-for-automotive-applications" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/11122.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">398</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">199</span> A Quadcopter Stability Analysis: A Case Study Using Simulation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=C.%20S.%20Bianca%20Sabrina">C. S. Bianca Sabrina</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Egidio%20Raimundo"> N. Egidio Raimundo</a>, <a href="https://publications.waset.org/abstracts/search?q=L.%20Alexandre%20Baratella"> L. Alexandre Baratella</a>, <a href="https://publications.waset.org/abstracts/search?q=C.%20H.%20Jo%C3%A3o%20Paulo"> C. H. João Paulo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper aims to present a study, with the theoretical concepts and applications of the Quadcopter, using the MATLAB simulator. In order to use this tool, the study of the stability of the drone through a Proportional - Integral - Derivative (PID) controller will be presented. After the stability study, some tests are done on the simulator and its results will be presented. From the mathematical model, it is possible to find the Newton-Euler angles, so that it is possible to stabilize the quadcopter in a certain position in the air, starting from the ground. In order to understand the impact of the controllers gain values on the stabilization of the Euler-Newton angles, three conditions will be tested with different controller gain values. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=controllers" title="controllers">controllers</a>, <a href="https://publications.waset.org/abstracts/search?q=drones" title=" drones"> drones</a>, <a href="https://publications.waset.org/abstracts/search?q=quadcopter" title=" quadcopter"> quadcopter</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a href="https://publications.waset.org/abstracts/129262/a-quadcopter-stability-analysis-a-case-study-using-simulation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/129262.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">199</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">198</span> Discrete PID and Discrete State Feedback Control of a Brushed DC Motor</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=I.%20Valdez">I. Valdez</a>, <a href="https://publications.waset.org/abstracts/search?q=J.%20Perdomo"> J. Perdomo</a>, <a href="https://publications.waset.org/abstracts/search?q=M.%20Colindres"> M. Colindres</a>, <a href="https://publications.waset.org/abstracts/search?q=N.%20Castro"> N. Castro</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Today, digital servo systems are extensively used in industrial manufacturing processes, robotic applications, vehicles and other areas. In such control systems, control action is provided by digital controllers with different compensation algorithms, which are designed to meet specific requirements for a given application. Due to the constant search for optimization in industrial processes, it is of interest to design digital controllers that offer ease of realization, improved computational efficiency, affordable return rates, and ease of tuning that ultimately improve the performance of the controlled actuators. There is a vast range of options of compensation algorithms that could be used, although in the industry, most controllers used are based on a PID structure. This research article compares different types of digital compensators implemented in a servo system for DC motor position control. PID compensation is evaluated on its two most common architectures: PID position form (1 DOF), and PID speed form (2 DOF). State feedback algorithms are also evaluated, testing two modern control theory techniques: discrete state observer for non-measurable variables tracking, and a linear quadratic method which allows a compromise between the theoretical optimal control and the realization that most closely matches it. The compared control systems’ performance is evaluated through simulations in the Simulink platform, in which it is attempted to model accurately each of the system’s hardware components. The criteria by which the control systems are compared are reference tracking and disturbance rejection. In this investigation, it is considered that the accurate tracking of the reference signal for a position control system is particularly important because of the frequency and the suddenness in which the control signal could change in position control applications, while disturbance rejection is considered essential because the torque applied to the motor shaft due to sudden load changes can be modeled as a disturbance that must be rejected, ensuring reference tracking. Results show that 2 DOF PID controllers exhibit high performance in terms of the benchmarks mentioned, as long as they are properly tuned. As for controllers based on state feedback, due to the nature and the advantage which state space provides for modelling MIMO, it is expected that such controllers evince ease of tuning for disturbance rejection, assuming that the designer of such controllers is experienced. An in-depth multi-dimensional analysis of preliminary research results indicate that state feedback control method is more satisfactory, but PID control method exhibits easier implementation in most control applications. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=control" title="control">control</a>, <a href="https://publications.waset.org/abstracts/search?q=DC%20motor" title=" DC motor"> DC motor</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete%20PID" title=" discrete PID"> discrete PID</a>, <a href="https://publications.waset.org/abstracts/search?q=discrete%20state%20feedback" title=" discrete state feedback"> discrete state feedback</a> </p> <a href="https://publications.waset.org/abstracts/42513/discrete-pid-and-discrete-state-feedback-control-of-a-brushed-dc-motor" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/42513.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">266</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">197</span> Compensatory Neuro-Fuzzy Inference (CNFI) Controller for Bilateral Teleoperation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=R.%20Mellah">R. Mellah</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20Toumi"> R. Toumi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents a new adaptive neuro-fuzzy controller equipped with compensatory fuzzy control (CNFI) in order to not only adjusts membership functions but also to optimize the adaptive reasoning by using a compensatory learning algorithm. The proposed control structure includes both CNFI controllers for which one is used to control in force the master robot and the second one for controlling in position the slave robot. The experimental results obtained, show a fairly high accuracy in terms of position and force tracking under free space motion and hard contact motion, what highlights the effectiveness of the proposed controllers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=compensatory%20fuzzy" title="compensatory fuzzy">compensatory fuzzy</a>, <a href="https://publications.waset.org/abstracts/search?q=neuro-fuzzy" title=" neuro-fuzzy"> neuro-fuzzy</a>, <a href="https://publications.waset.org/abstracts/search?q=control%20adaptive" title=" control adaptive"> control adaptive</a>, <a href="https://publications.waset.org/abstracts/search?q=teleoperation" title=" teleoperation"> teleoperation</a> </p> <a href="https://publications.waset.org/abstracts/30465/compensatory-neuro-fuzzy-inference-cnfi-controller-for-bilateral-teleoperation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/30465.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">324</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">196</span> Speed Control of DC Motor Using Optimization Techniques Based PID Controller </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Santosh%20Kumar%20Suman">Santosh Kumar Suman</a>, <a href="https://publications.waset.org/abstracts/search?q=Vinod%20Kumar%20Giri"> Vinod Kumar Giri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The goal of this paper is to outline a speed controller of a DC motor by choice of a PID parameters utilizing genetic algorithms (GAs), the DC motor is extensively utilized as a part of numerous applications such as steel plants, electric trains, cranes and a great deal more. DC motor could be represented by a nonlinear model when nonlinearities such as attractive dissemination are considered. To provide effective control, nonlinearities and uncertainties in the model must be taken into account in the control design. The DC motor is considered as third order system. Objective of this paper three type of tuning techniques for PID parameter. In this paper, an independently energized DC motor utilizing MATLAB displaying, has been outlined whose velocity might be examined utilizing the Proportional, Integral, Derivative (KP, KI , KD) addition of the PID controller. Since, established controllers PID are neglecting to control the drive when weight parameters be likewise changed. The principle point of this paper is to dissect the execution of optimization techniques viz. The Genetic Algorithm (GA) for improve PID controllers parameters for velocity control of DC motor and list their points of interest over the traditional tuning strategies. The outcomes got from GA calculations were contrasted and that got from traditional technique. It was found that the optimization techniques beat customary tuning practices of ordinary PID controllers. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=DC%20motor" title="DC motor">DC motor</a>, <a href="https://publications.waset.org/abstracts/search?q=PID%20controller" title=" PID controller"> PID controller</a>, <a href="https://publications.waset.org/abstracts/search?q=optimization%20techniques" title=" optimization techniques"> optimization techniques</a>, <a href="https://publications.waset.org/abstracts/search?q=genetic%20algorithm%20%28GA%29" title=" genetic algorithm (GA)"> genetic algorithm (GA)</a>, <a href="https://publications.waset.org/abstracts/search?q=objective%20function" title=" objective function"> objective function</a>, <a href="https://publications.waset.org/abstracts/search?q=IAE" title=" IAE"> IAE</a> </p> <a href="https://publications.waset.org/abstracts/48103/speed-control-of-dc-motor-using-optimization-techniques-based-pid-controller" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/48103.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">419</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">‹</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=PI%20controllers&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=PI%20controllers&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=PI%20controllers&page=4">4</a></li> <li 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