Document Zbl 1507.93230

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<a href="/authors/nesic.dragan" title="Author Profile">Nešić, Dragan</a><a class="btn btn-default btn-xs matrix" type="button" href="https://donald.zentralblatt-math.org/lethe/recruit/?first_name=Dragan&last_name=Ne%C5%A1i%C4%87&author_id=nesic.dragan&document_id=7653185"> <span class="text-danger">Recruit</span> </a>; <a href="/authors/postoyan.romain" title="Author Profile">Postoyan, Romain</a><a class="btn btn-default btn-xs matrix" type="button" href="https://donald.zentralblatt-math.org/lethe/recruit/?first_name=Romain&last_name=Postoyan&document_id=7653185"> <span class="text-danger">Recruit</span> </a>; <a href="/authors/tan.ying.1" title="Author Profile">Tan, Ying</a><a class="btn btn-default btn-xs matrix" type="button" href="https://donald.zentralblatt-math.org/lethe/recruit/?first_name=Ying&last_name=Tan&author_id=tan.ying.1&document_id=7653185"> <span class="text-danger">Recruit</span> </a></div> <h2 class="title"> <strong>On state estimation for nonlinear systems under random access wireless protocols.</strong> <i>(English)</i> <a class="label nowrap" href="/1507.93230">Zbl 1507.93230</a> </h2> <div class="source"> <a href="/serials/1227" title="Journal Profile">Math. Control Signals Syst.</a> <a href="/?q=in%3A492536" title="Articles in this Issue">35, No. 1, 187-213 (2023)</a>. </div> <div class="abstract"><div class="pre">Summary: This article is dedicated to Eduardo D. Sontag on the occasion of his 70th birthday. We build upon fundamental stability concepts developed by Sontag, such as input-to-state stability and its related properties, to study a relevant application in industrial internet of things, namely estimation for wireless networked control systems. Particularly, we study emulation-based state estimation for nonlinear plants that communicate with a remote observer over a shared wireless network subject to packet losses. To reduce bandwidth usage, a stochastic communication protocol is employed to determine which node should be given access to the network. Each node has a different successful transmission probability. We describe the overall closed-loop system as a stochastic hybrid model, which allows us to capture the behaviour both between and at transmission instants, whilst covering network features such as random transmission instants, packet losses and stochastic scheduling. We then provide sufficient conditions on the transmission rate that guarantee an input-to-state stability property (in expectation) for the corresponding estimation error system. We illustrate our results in the design of circle criterion observers.</div></div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93E10" title="MSC2020">93E10</a> </td> <td class="space"> Estimation and detection in stochastic control theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93D25" title="MSC2020">93D25</a> </td> <td class="space"> Input-output approaches in control theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93E15" title="MSC2020">93E15</a> </td> <td class="space"> Stochastic stability in control theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C10" title="MSC2020">93C10</a> </td> <td class="space"> Nonlinear systems in control theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93B70" title="MSC2020">93B70</a> </td> <td class="space"> Networked control </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Awireless+networked+control+systems">wireless networked control systems</a>; <a href="/?q=ut%3Aemulation">emulation</a>; <a href="/?q=ut%3Astate+estimation">state estimation</a>; <a href="/?q=ut%3Astochastic+protocols">stochastic protocols</a></div> <div class="software"> <h3>Software:</h3><a href="/software/5198">MCQueue</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 1507.93230" data-ciurl="/ci/07653185" data-biburl="/bibtex/07653185.bib" data-amsurl="/amsrefs/07653185.bib" data-xmlurl="/xml/07653185.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07653185.pdf" title="Zbl 1507.93230 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/10.1007/s00498-022-00337-y" aria-label="DOI for “On state estimation for nonlinear systems under random access wireless protocols”" title="10.1007/s00498-022-00337-y">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://hal.science/hal-03926329" title="Open Access at HAL">HAL </a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Sontag, ED, Smooth stabilization implies coprime factorization, IEEE Trans Autom Control, 34, 4, 435-443 (1989) · <a href="/0682.93045" class="nowrap">Zbl 0682.93045</a></td> </tr><tr> <td>[2]</td> <td class="space">Dashkovskiy, S.; Efimov, DV; Sontag, ED, Input to state stability and allied system properties, Autom Remote Control, 72, 8, 1579-1614 (2011) · <a href="/1235.93221" class="nowrap">Zbl 1235.93221</a></td> </tr><tr> <td>[3]</td> <td class="space">Isidori, A., Nonlinear control systems. 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