Document Zbl 1386.90164

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Control Appl. Methods</a> <a href="/?q=in%3A372591" title="Articles in this Issue">38, No. 6, 1071-1080 (2017)</a>. </div> <div class="abstract">Summary: In this study, we use generalized policy iteration approximate dynamic programming (ADP) algorithm to design an optimal controller for a class of discrete-time systems with actuator saturation. A integral function is proposed to manage the saturation nonlinearity in actuators and then the generalized policy iteration ADP algorithm is developed to deal with the optimal control problem. Compared with other algorithm, the developed ADP algorithm includes 2 iteration procedures. In the present control scheme, 2 neural networks are introduced to approximate the control law and performance index function. Furthermore, numerical simulations illustrate the convergence and feasibility of the developed method.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6822285">Cited in <strong>8</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A90C39" title="MSC2020">90C39</a> </td> <td class="space"> Dynamic programming </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C55" title="MSC2020">93C55</a> </td> <td class="space"> Discrete-time control/observation systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C10" title="MSC2020">93C10</a> </td> <td class="space"> Nonlinear systems in control theory </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aapproximate+dynamic+programming">approximate dynamic programming</a>; <a href="/?q=ut%3Adiscrete+time">discrete time</a>; <a href="/?q=ut%3Ageneralized+policy+iteration">generalized policy iteration</a>; <a href="/?q=ut%3Aoptimal+control">optimal control</a>; <a href="/?q=ut%3Asaturating+actuators">saturating actuators</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1386.90164" data-ciurl="/ci/06822285" data-biburl="/bibtex/06822285.bib" data-amsurl="/amsrefs/06822285.bib" data-xmlurl="/xml/06822285.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06822285.pdf" title="Zbl 1386.90164 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1002/oca.2313" aria-label="DOI for “Optimal control for discrete-time systems with actuator saturation”" title="10.1002/oca.2313">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Saberi, A.; Lin, Z.; Teel, A., Control of linear systems with saturating actuators, IEEE Trans Autom Control, 41, 3, 368-378, 1996 · <a href="/0853.93046" class="nowrap">Zbl 0853.93046</a></td> </tr><tr> <td>[2]</td> <td class="space">Sussmann, H.; Sontag, E.; Yang, Y., A general result on the stabilization of linear systems using bounded controls, IEEE Trans Autom Control, 39, 12, 2411-2425, 1994 · <a href="/0811.93046" class="nowrap">Zbl 0811.93046</a></td> </tr><tr> <td>[3]</td> <td class="space">Bernstein, D., Optimal nonlinear, but continuous, feedback control of systems withsaturating actuators, Int J Control, 62, 5, 1209-1216, 1995 · <a href="/0843.93025" class="nowrap">Zbl 0843.93025</a></td> </tr><tr> <td>[4]</td> <td class="space">Abu‐Khalaf, M.; Lewis, F., Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach, Autom, 41, 5, 779-791, 2005 · <a href="/1087.49022" class="nowrap">Zbl 1087.49022</a></td> </tr><tr> <td>[5]</td> <td class="space">Werbos, P., Approximate dynamic programming for real‐time control and neural modeling, Handbook of Intelligent Control: Neural, Fuzzy, and Adaptive Approaches, 1992</td> </tr><tr> <td>[6]</td> <td class="space">Werbos, P.; Miller, W.; Sutton, R., A menu of designs for reinforcement learning over time, Neural Networks Control, 1991</td> </tr><tr> <td>[7]</td> <td class="space">Wang, D.; Liu, D.; Zhang, Q.; Zhao, D., Data‐based adaptive critic designs for nonlinear robust optimal control with uncertain dynamics. 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