Document Zbl 1461.93124

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Sci.</a> <a href="/?q=in%3A461064" title="Articles in this Issue">517, 167-182 (2020)</a>. </div> <div class="abstract">Summary: This paper concentrates on observer-based fault detection (FD) for switched systems. By the introduction of the interval observer, the error dynamic system is proposed. In light of the switching logic, exponential stability of the augmented system is firstly achieved. Then, to ensure the fault sensitivity as well as disturbance robustness, $H_\infty /H_-$ performance analysis is employed. One thing has to be mentioned is that we investigate the unobservable condition of (<span class="zbmathjax-textit">$A_i; C_i$</span>). Moreover, the instability of the error dynamic system brought by the unobservability is eliminated by the switching strategy using average dwell time (ADT) method. Afterwards, sufficient conditions guaranteeing the $H_\infty /H_-$ performance level are obtained, which is divided into disturbance attenuation and fault sensitivity analysis. Finally, examples demonstrating the effectiveness of the provided method are provided.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7330309">Cited in <strong>37</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><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%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%3A93B53" title="MSC2020">93B53</a> </td> <td class="space"> Observers </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aaverage+dwell+time">average dwell time</a>; <a href="/?q=ut%3Aunstable+subsystems">unstable subsystems</a>; <a href="/?q=ut%3Ainterval+observer">interval observer</a>; <a href="/?q=ut%3Adiscretized+Lyapunov+function">discretized Lyapunov function</a>; <a href="/?q=ut%3Amixed+%5C%28H_%5Cinfty+%2FH_-%5C%29+performance">mixed $H_\infty /H_-$ performance</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 1461.93124" data-ciurl="/ci/07330309" data-biburl="/bibtex/07330309.bib" data-amsurl="/amsrefs/07330309.bib" data-xmlurl="/xml/07330309.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07330309.pdf" title="Zbl 1461.93124 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.ins.2019.12.071" aria-label="DOI for “Fault detection for switched systems with all modes unstable based on interval observer”" title="10.1016/j.ins.2019.12.071">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">Tse, C. 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