Document Zbl 1531.93413

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Control Appl. Methods</a> <a href="/?q=in%3A503405" title="Articles in this Issue">43, No. 1, 243-256 (2022)</a>. </div> <div class="abstract">Summary: This study proposes a robust extended Kalman filter (REKF) for discrete-time nonlinear systems with parametric uncertainties, unknown inputs, and correlated process and measurement noises. An augmented model is proposed to estimate the unknown inputs and system states simultaneously. The designed filter guarantees an upper bound on the error covariance of the estimation. It is robust against process and measurement noises, model uncertainties, and unknown inputs. Besides, the robust performance of the designed filter is evaluated. Finally, a realistic gas pipeline is simulated by OLGA multiphase flow simulation software. REKF and extended Kalman filter are compared to detect the pipeline’s leakage and location. The results show the effectiveness of the proposed REKF.<br class="zbmathjax-paragraph">{© 2021 John Wiley & Sons Ltd.}</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7753534">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%3A93E11" title="MSC2020">93E11</a> </td> <td class="space"> Filtering in stochastic control theory </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%3Acorrelated+noises">correlated noises</a>; <a href="/?q=ut%3Agas+pipeline">gas pipeline</a>; <a href="/?q=ut%3Aleak+detection+and+localization">leak detection and localization</a>; <a href="/?q=ut%3Anonlinear+systems">nonlinear systems</a>; <a href="/?q=ut%3Arobust+extended+Kalman+filter+%28REKF%29">robust extended Kalman filter (REKF)</a>; <a href="/?q=ut%3Aunknown+inputs">unknown inputs</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 1531.93413" data-ciurl="/ci/07753534" data-biburl="/bibtex/07753534.bib" data-amsurl="/amsrefs/07753534.bib" data-xmlurl="/xml/07753534.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07753534.pdf" title="Zbl 1531.93413 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/10.1002/oca.2786" aria-label="DOI for “Robust extended Kalman filtering for nonlinear systems in the presence of unknown inputs and correlated noises”" title="10.1002/oca.2786">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">Bolognani, S.; 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