Document Zbl 07964802

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Control</a> <a href="/?q=in%3A522193" title="Articles in this Issue">26, No. 4, 1797-1807 (2024)</a>. </div> <div class="abstract">Summary: This paper investigates the $H_\infty$ bumpless transfer control (HBTC) problem of switched systems with time-varying delays. A novel smooth switching state feedback controller is designed to eliminate the bumps existing in the classical switched state feedback control strategy. By the use of average dwell time (ADT) and multiple Lyapunov-Krasovskii functionals, some solvability conditions for the HBTC problem are derived. The control gain matrices can be calculated by solving linear matrix inequalities (LMIs). A numerical example is employed to show the validity of the proposed results.<br class="zbmathjax-paragraph">© 2023 Chinese Automatic Control Society and John Wiley & Sons Australia, Ltd</div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C30" title="MSC2020">93C30</a> </td> <td class="space"> Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching 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><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C43" title="MSC2020">93C43</a> </td> <td class="space"> Delay control/observation systems </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3A%5C%28H_%5Cinfty%5C%29+bumpless+transfer">$H_\infty$ bumpless transfer</a>; <a href="/?q=ut%3A%5C%28L_2%5C%29-gain">$L_2$-gain</a>; <a href="/?q=ut%3Aswitched+system">switched system</a>; <a href="/?q=ut%3Atime+delay">time delay</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 07964802" data-ciurl="/ci/07964802" data-biburl="/bibtex/07964802.bib" data-amsurl="/amsrefs/07964802.bib" data-xmlurl="/xml/07964802.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07964802.pdf" title="Zbl 07964802 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/asjc.3298" aria-label="DOI for “$H_\infty$ bumpless transfer control of switched systems with time-varying delays”" title="10.1002/asjc.3298">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">Qi, W.; Zong, G.; Hou, Y.; Chadli, M., SMC For discrete‐time nonlinear semi‐Markovian switching systems with partly unknown semi‐Markov kernel, IEEE Trans. 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