Document Zbl 1521.93047

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Sci.</a> <a href="/?q=in%3A501872" title="Articles in this Issue">647, Article ID 119493, 19 p. (2023)</a>. </div> <div class="abstract">Summary: The problem of actuator fault and Bernoulli random delay-based $H_\infty$ reliable fuzzy state feedback control of singular hybrid vehicle suspension systems (SHVSSs) with impulsive perturbations is studied in this paper. By taking the acceleration of each part of the suspension as the component of the system state, the vehicle suspension system is successfully extended to a singular vehicle suspension system. The regularity and non-impulsiveness of the time-varying delays SHVSSs with impulsive perturbations are proved via singular value decomposition (SVD) method. By means of constructing a novel Lyapunov-Krasovskii (L-K) functional embodied with Markovian jump modes and impulse times information, neoteric conditions are smoothly concluded under linear matrix inequalities (LMIs) framework, which guarantee that the closed-loop SHVSS acquires $H_\infty$ stochastic admissibilization. By exploiting Takagi-Sugeno (T-S) fuzzy technique and parallel-distributed compensation (PDC) method, a reliable Bernoulli random delay-based fuzzy mode-dependent feedback (FMDF) controller is proposed to handle the change of sprung mass and actuator fault of the controlled time-varying delays SHVSSs. Simulation results verify the validity of the method and riding comfort level of the vehicle.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7735618">Cited in <strong>2</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%3A93C42" title="MSC2020">93C42</a> </td> <td class="space"> Fuzzy control/observation systems </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%3A93C73" title="MSC2020">93C73</a> </td> <td class="space"> Perturbations in control/observation systems </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3AT-S+fuzzy+feedback+control">T-S fuzzy feedback control</a>; <a href="/?q=ut%3ABernoulli+random+delay">Bernoulli random delay</a>; <a href="/?q=ut%3Avehicle+suspension+system">vehicle suspension system</a>; <a href="/?q=ut%3Aimpulsive+perturbations">impulsive perturbations</a>; <a href="/?q=ut%3Asingular+hybrid+system">singular hybrid system</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 1521.93047" data-ciurl="/ci/07735618" data-biburl="/bibtex/07735618.bib" data-amsurl="/amsrefs/07735618.bib" data-xmlurl="/xml/07735618.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07735618.pdf" title="Zbl 1521.93047 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.2023.119493" aria-label="DOI for “Actuator fault and Bernoulli random delay-based $H_\infty$ reliable fuzzy control of singular hybrid vehicle suspension systems with impulsive perturbations”" title="10.1016/j.ins.2023.119493">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">Dai, L., Singular Control System (1989), Springer: Springer Berlin, Germany · <a href="/0669.93034" class="nowrap">Zbl 0669.93034</a></td> </tr><tr> <td>[2]</td> <td class="space">Xu, S.; Lam, J., Robust Control and Filtering of Singular Systems (2006), Springer-Verlag: Springer-Verlag Berlin · <a href="/1114.93005" class="nowrap">Zbl 1114.93005</a></td> </tr><tr> <td>[3]</td> <td class="space">Cheng, J.; Xie, L.; Zhang, D.; Yan, H., A novel event-triggered protocol to sliding mode control for singular semi-Markov jump systems, Automatica (2023) · <a href="/1526.93146" class="nowrap">Zbl 1526.93146</a></td> </tr><tr> <td>[4]</td> <td class="space">Chang, X.; Qiao, M.; Zhao, X., Fuzzy energy-to-peak filtering for continuous-time nonlinear singular system, IEEE Trans. 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