Document Zbl 1250.93038

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Control Lett.</a> <a href="/?q=in%3A301814" title="Articles in this Issue">61, No. 6, 683-687 (2012)</a>. </div> <div class="abstract">Summary: The observer design problem for discrete-time descriptor systems is considered. For the discrete-time linear descriptor systems, necessary and sufficient conditions for the existence and convergence of the proposed observer are given and proved, and a systemic design approach is presented via the linear matrix inequalities formulation. Furthermore, an extension to a class of nonlinear descriptor systems with Lipschitz constraints is investigated. Simulation examples are given to illustrate the estimation performance of the proposed method.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6082663">Cited in <strong>47</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93B07" title="MSC2020">93B07</a> </td> <td class="space"> Observability </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C55" title="MSC2020">93C55</a> </td> <td class="space"> Discrete-time control/observation systems </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></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Adescriptor+systems">descriptor systems</a>; <a href="/?q=ut%3Adiscrete-time+systems">discrete-time systems</a>; <a href="/?q=ut%3Aobserver">observer</a>; <a href="/?q=ut%3Anonlinear+systems">nonlinear systems</a>; <a href="/?q=ut%3Alinear+matrix+inequality">linear matrix inequality</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 1250.93038" data-ciurl="/ci/06082663" data-biburl="/bibtex/06082663.bib" data-amsurl="/amsrefs/06082663.bib" data-xmlurl="/xml/06082663.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06082663.pdf" title="Zbl 1250.93038 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.sysconle.2012.03.006" aria-label="DOI for “Observer design for discrete-time descriptor systems: an LMI approach”" title="10.1016/j.sysconle.2012.03.006">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 Systems. 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I., An LMI approach to discrete-time observer design with stochastic resilience, Journal of Computational and Applied Mathematics, 188, 246-255 (2006) · <a href="/1108.93026" class="nowrap">Zbl 1108.93026</a></td> </tr><tr> <td>[20]</td> <td class="space">Zemouche, A.; Boutayeb, M., Observer design for Lipschitz nonlinear systems: the discrete-time case, IEEE Transactions on Circuits and Systems II: Express Briefs, 53, 777-781 (2006)</td> </tr><tr> <td>[21]</td> <td class="space">Xu, S. Y.; Lam, J., Robust Control and Filtering of Singular Systems (2006), Springer · <a href="/1114.93005" class="nowrap">Zbl 1114.93005</a></td> </tr><tr> <td>[22]</td> <td class="space">Ogata, K., Discrete-Time Control Systems (1995), Prentice Hall International</td> </tr><tr> <td>[23]</td> <td class="space">Boyd, S.; Ghaoui, L.; Feron, E.; Balakrishnan, V., Linear Matrix Inequalities in System and Control Theory (1994), Society for Industrial and Applied Mathematics (SIAM) · <a href="/0816.93004" class="nowrap">Zbl 0816.93004</a></td> </tr><tr> <td>[24]</td> <td class="space">L. Yao, H. Wang, Fault diagnosis of a class of singular nonlinear systems, in: Proceedings of 6th IFAC Symposium, Safeprocess, 2006, pp. 55-60.; L. Yao, H. Wang, Fault diagnosis of a class of singular nonlinear systems, in: Proceedings of 6th IFAC Symposium, Safeprocess, 2006, pp. 55-60.</td> </tr><tr> <td>[25]</td> <td class="space">Gao, Z. W.; Ding, S. X., Fault reconstruction for Lipschitz nonlinear descriptor systems via linear matrix inequality approach, Circuits, Systems, and Signal Processing, 27, 295-308 (2008) · <a href="/1146.93311" class="nowrap">Zbl 1146.93311</a></td> </tr><tr> <td>[26]</td> <td class="space">Wu, A.; Feng, G.; Duan, G., Proportional multiple-integral observer design for discrete-time descriptor linear systems, International Journal of Systems Science (2011)</td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching. </div> </div></article> </div></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

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