Document Zbl 1415.93247

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If the underlying system to be protected exhibits nonlinear dynamics, few observers/estimators in the current literature can handle unknown input estimation, particularly when the unknown inputs are unbounded. This paper proposes an extended state observer methodology for designing observers capable of reconstructing the state along with unknown inputs for a class of nonlinear systems that can be characterized via incremental quadratic constraints. Two classes of unknown inputs are considered: completely unknown inputs that have bounded derivatives, or (the generalization of the first) unknown inputs that are generated by nonlinear internal state-space models, where the model states are driven by completely unknown inputs; for instance, completely unknown inputs with bounded higher-order derivatives. The potential of the proposed design is demonstrated via numerical simulations.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7047240">Cited in <strong>8</strong> Documents</a></div></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%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%3A90C25" title="MSC2020">90C25</a> </td> <td class="space"> Convex programming </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93B07" title="MSC2020">93B07</a> </td> <td class="space"> Observability </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aunknown+input+observers">unknown input observers</a>; <a href="/?q=ut%3Aconvex+programming">convex programming</a>; <a href="/?q=ut%3Anonlinear+disturbance+model">nonlinear disturbance model</a>; <a href="/?q=ut%3Ainternal+model">internal model</a>; <a href="/?q=ut%3Aincremental+quadratic+constraints">incremental quadratic constraints</a>; <a href="/?q=ut%3Afault+detection+and+isolation">fault detection and isolation</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 1415.93247" data-ciurl="/ci/07047240" data-biburl="/bibtex/07047240.bib" data-amsurl="/amsrefs/07047240.bib" data-xmlurl="/xml/07047240.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07047240.pdf" title="Zbl 1415.93247 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.automatica.2019.02.050" aria-label="DOI for “Estimating unbounded unknown inputs in nonlinear systems”" title="10.1016/j.automatica.2019.02.050">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">Açıkmeşe, B.; Corless, M., Observers for systems with nonlinearities satisfying incremental quadratic constraints, Automatica, 47, 7, 1339-1348 (2011) · <a href="/1219.93016" class="nowrap">Zbl 1219.93016</a></td> </tr><tr> <td>[2]</td> <td class="space">Barbot, J.-P.; Fliess, M.; Floquet, T., An algebraic framework for the design of nonlinear observers with unknown inputs, (46th IEEE conference on decision and control (2007)), 384-389</td> </tr><tr> <td>[3]</td> <td class="space">Bejarano, F.; Perruquetti, W.; Floquet, T.; Zheng, G., State reconstruction of nonlinear differential-algebraic systems with unknown inputs, (51st Annual conference on decision and control (CDC) (2012)), 5882-5887</td> </tr><tr> <td>[4]</td> <td class="space">Boulkroune, B.; Djemili, I.; Aitouche, A.; Cocquempot, V., Nonlinear unknown input observer design for diesel engines, (American control conference (ACC), vol. 2013 (2013)), 1076-1081</td> </tr><tr> <td>[5]</td> <td class="space">Chakrabarty, A.; Ayoub, R.; Żak, S. 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