Document Zbl 1335.93081

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The communication constraint concerned is that only one sensor node and one actuator node can access the shared network, which is the case in network environment. The accessibility of sensor nodes and/or actuator nodes is determined by medium access control with a prescribed probability. The attention is focused on the design of a piecewise static output feedback controller such that the closed-loop control system is stochastically stable with a guaranteed $\mathcal{H}_\infty$ performance. Based on piecewise quadratic Lyapunov functions together with some matrix inequality convexifying techniques, an approach to the design of $\mathcal{H}_\infty$ output feedback controller is proposed in terms of linear matrix inequalities. Finally, two simulation examples are provided to illustrate the effectiveness of the proposed methods.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6574746">Cited in <strong>17</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C42" title="MSC2020">93C42</a> </td> <td class="space"> Fuzzy control/observation systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93B36" title="MSC2020">93B36</a> </td> <td class="space"> $H^\infty$-control </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Amedium+access+constraint">medium access constraint</a>; <a href="/?q=ut%3Anetworked+control+systems">networked control systems</a>; <a href="/?q=ut%3Aoutput+feedback">output feedback</a>; <a href="/?q=ut%3Apiecewise+Lyapunov+functions">piecewise Lyapunov functions</a>; <a href="/?q=ut%3AT-S+fuzzy+systems">T-S fuzzy systems</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 1335.93081" data-ciurl="/ci/06574746" data-biburl="/bibtex/06574746.bib" data-amsurl="/amsrefs/06574746.bib" data-xmlurl="/xml/06574746.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06574746.pdf" title="Zbl 1335.93081 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/10.1016/j.fss.2013.09.006" aria-label="DOI for “T-S fuzzy-model-based piecewise $\mathcal{H}_\infty$ output feedback controller design for networked nonlinear systems with medium access constraint”" title="10.1016/j.fss.2013.09.006">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">Takagi, T.; Sugeno, M., Fuzzy identification of systems and its application to modeling and control, IEEE Trans. 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