{"title":"The Effect of Response Feedback on Performance of Active Controlled Nonlinear Frames","authors":"M. Mohebbi, K. Shakeri","volume":37,"journal":"International Journal of Computer and Information Engineering","pagesStart":52,"pagesEnd":58,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/14376","abstract":"The effect of different combinations of response\r\nfeedback on the performance of active control system on nonlinear\r\nframes has been studied in this paper. To this end different feedback\r\ncombinations including displacement, velocity, acceleration and full\r\nresponse feedback have been utilized in controlling the response of\r\nan eight story bilinear hysteretic frame which has been subjected to a\r\nwhite noise excitation and controlled by eight actuators which could\r\nfully control the frame. For active control of nonlinear frame\r\nNewmark nonlinear instantaneous optimal control algorithm has been\r\nused which a diagonal matrix has been selected for weighting\r\nmatrices in performance index. For optimal design of active control\r\nsystem while the objective has been to reduce the maximum drift to\r\nbelow the yielding level, Distributed Genetic Algorithm (DGA) has\r\nbeen used to determine the proper set of weighting matrices. The\r\ncriteria to assess the effect of each combination of response feedback\r\nhave been the minimum required control force to reduce the\r\nmaximum drift to below the yielding drift. The results of numerical\r\nsimulation show that the performance of active control system is\r\ndependent on the type of response feedback where the velocity\r\nfeedback is more effective in designing optimal control system in\r\ncomparison with displacement and acceleration feedback. Also using\r\nfull feedback of response in controller design leads to minimum\r\ncontrol force amongst other combinations. Also the distributed\r\ngenetic algorithm shows acceptable convergence speed in solving the\r\noptimization problem of designing active control systems.","references":"[1] B.F. Spencer and Nagarajaiah S., \"State of the art of structural control,\"\r\nASCE, J. Struct. Eng., vol.129, no.7, pp.845-856, 2003.\r\n[2] T. Kobori, N. Koshika, K. Yamada and Y. Ikeda, \"Seismic-responsecontrolled\r\nstructure with active mass driver system .part 1: Design\"\r\nEarthquake Eng. Struct. Dynamics, vol. 20, pp.133-149, 1991.\r\n[3] T. Kobori, N. Koshika, K. Yamada and Y. Ikeda, \"Seismic-responsecontrolled\r\nstructure with active mass driver system .part2:\r\nVerification,\"Earthquake Eng. Struct. Dynamics, vol.20, pp.151-166,\r\n1991.\r\n[4] T. T. Soong, Active structural control: theory and practice. Longman\r\nScientific & Technical, New York, 1990.\r\n[5] C. C. Chang and H. T., Yang Y., \"Instantaneous optimal control of\r\nbuilding frames,\"ASCE, J. Struct. Eng,, vol.120,no. 4, pp.1307-\r\n1326,1994.\r\n[6] J. N. Yang and Z. Li, \"Instantaneous optimal control with acceleration\r\nand velocity feedback,\"Technical Report NCEER-90-0016, 1990.\r\n[7] O.Bahar, M. R Banan, M. Mahzoon and Y.Kitagawa, \"Instantaneous\r\noptimal Wilson-\u256c\u00a9 control method,\"ASCE, J. Eng. Mech., vol.129,\r\nno.11, pp.1268-1276, 2003.\r\n[8] A. Joghataie and M. Mohebbi, \"Vibration controller design for confined\r\nmasonry walls by distributed genetic algorithms,\"ASCE, J. Struct. Eng.,\r\nvol.134, no.2, pp. 300-309, 2008.\r\n[9] J. N. Yang, Z. Li and S. C. Liu, \"Stable controllers for Instantaneous\r\noptimal control,\" ASCE, J. Eng. Mech., vol.118, no.8, pp.1612-1630,\r\n1992.\r\n[10] A. Joghataie and M. Mohebbi, \"Optimal control of nonlinear frames by\r\nNewmark and distributed genetic algorithms,\"Struct. Design Tall Spec.\r\nBuild., published on line, 2009.\r\n[11] K. J. Bathe Finite element procedures. Prentice-Hall, Inc., New Gersey,\r\n1996.\r\n[12] D. E. Goldberg, Genetic algorithms in search, optimization and\r\nmachine Learning. Addison -Wesley Publishing Co., Inc. Reading,\r\nMass, 1989.\r\n[13] H. M\u251c\u255dhlenbein, M.Schomisch and J. Born, \"Parallel genetic algorithms\r\nas a function optimizer,\" Parallel Computing, no.17, pp.619-632, 1991.\r\n[14] T. Starkweather, D. Whitley and K. Mathias, \"Optimization using\r\ndistributed genetic algorithms,\" Springer - Verlag Lecture Notes in\r\nComputer Science, no.496, pp.176-185, 1990.\r\n[15] J. N. Yang, F. X Long and D. Wong. , \"Optimal control of nonlinear\r\nstructures,\" Applied Mech., vol. 55, pp. 931-938, 1988.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 37, 2010"}