Document Zbl 1528.93196

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J. Robust Nonlinear Control</a> <a href="/?q=in%3A506250" title="Articles in this Issue">32, No. 12, 6684-6703 (2022)</a>. </div> <div class="abstract">Summary: This article investigates the fixed-time adaptive anti-disturbance and fault-tolerant control problem for a class of nonlinear multi-agent systems with non-affine nonlinear faults. A simplified backstepping approach is presented that only requires designing one Lyapunov function for high-order multi-agent systems, which reduces the computational burden. By designing a new compound observer, an anti-disturbance and fault-tolerant control strategy is developed to estimate and compensate the compound nonlinear terms composed of external disturbances and nonlinear faults. In addition, an auxiliary control variable is designed to solve the problem of “explosion of complexity” and ensure the system stability in a fixed time. Based on the Lyapunov stability method, it is proved that the nonlinear multi-agent systems are semi-global practical fixed-time stable. Finally, the effectiveness of the proposed control strategy is verified by some simulation results.<br class="zbmathjax-paragraph">{© 2022 John Wiley & Sons Ltd.}</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7779509">Cited in <strong>3</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93D40" title="MSC2020">93D40</a> </td> <td class="space"> Finite-time stability </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C40" title="MSC2020">93C40</a> </td> <td class="space"> Adaptive control/observation systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93B35" title="MSC2020">93B35</a> </td> <td class="space"> Sensitivity (robustness) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93A16" title="MSC2020">93A16</a> </td> <td class="space"> Multi-agent systems </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aexternal+disturbances">external disturbances</a>; <a href="/?q=ut%3Afixed-time+stable">fixed-time stable</a>; <a href="/?q=ut%3Anon-affine+nonlinear+faults">non-affine nonlinear faults</a>; <a href="/?q=ut%3Asimplified+backstepping+approach">simplified backstepping approach</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 1528.93196" data-ciurl="/ci/07779509" data-biburl="/bibtex/07779509.bib" data-amsurl="/amsrefs/07779509.bib" data-xmlurl="/xml/07779509.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07779509.pdf" title="Zbl 1528.93196 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/rnc.6172" aria-label="DOI for “Fixed-time adaptive anti-disturbance and fault-tolerant control for multi-agent systems”" title="10.1002/rnc.6172">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">Mu, B.; 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Document Zbl 1528.93196 - zbMATH Open