Document Zbl 1545.93600

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J. Adapt. Control Signal Process.</a> <a href="/?q=in%3A511936" title="Articles in this Issue">37, No. 7, 1893-1919 (2023)</a>. </div> <div class="abstract">Summary: In this study, a distributed robust moving horizon estimation (DRMHE) approach is proposed for time-varying multisensor systems affected by stochastic and norm-bounded uncertainties. First, by considering the uncertainties in all model matrices, stochastic min-max optimization problems in local and collective forms are presented to achieve the proposed estimator. Then, by converting the problems to robust regularized least-squares problems with uncertain parameters, closed-form solutions are obtained for estimations in both local and collective forms. Furthermore, the stability of the proposed estimator is investigated under some appropriate conditions. At last, two different examples are employed to show the robust performance and superiority of the proposed DRMHE approach compared to the existing methods.<br class="zbmathjax-paragraph">{© 2023 John Wiley & Sons Ltd.}</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%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%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%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%3Adistributed+estimation">distributed estimation</a>; <a href="/?q=ut%3Aleast-squares+optimization">least-squares optimization</a>; <a href="/?q=ut%3Amoving+horizon+estimation">moving horizon estimation</a>; <a href="/?q=ut%3Amultisensor+systems">multisensor systems</a>; <a href="/?q=ut%3Auncertainty">uncertainty</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 1545.93600" data-ciurl="/ci/07844273" data-biburl="/bibtex/07844273.bib" data-amsurl="/amsrefs/07844273.bib" data-xmlurl="/xml/07844273.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07844273.pdf" title="Zbl 1545.93600 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/acs.3605" aria-label="DOI for “Distributed robust moving horizon estimation for multisensor systems with stochastic and norm-bounded uncertainties”" title="10.1002/acs.3605">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">Radhappa, H.; 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