Document Zbl 1545.93634

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J. Adapt. Control Signal Process.</a> <a href="/?q=in%3A511711" title="Articles in this Issue">36, No. 5, 1098-1115 (2022)</a>. </div> <div class="abstract">Summary: In this article, a consensus-based robust regularized least-squares filter is designed for multi-sensor systems with norm-bounded uncertainties. In this approach, a min-max optimization problem is presented based on a consensus protocol on estimates. The advantage of a consensus filter is that each node estimates its local states, in addition to reaching an agreement on estimates made by all sensors on the network. By introducing appropriate conversions the proposed optimization problem is converted to a robust regularized least-squares problem. Solving this problem results in the structure of the proposed filter. Then, the recursive formulation of the filter is obtained in measurement form and information form. Finally, in order to investigate the efficacy, good proficiency, and robustness of the proposed consensus-based robust least-squares filter, it has been applied to an uncertain multi-sensor system with 100 nodes and its results have been compared with existing consensus filters.<br class="zbmathjax-paragraph">{© 2022 John Wiley & Sons Ltd.}</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7841389">Cited in <strong>1</strong> Document</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%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%3A93E24" title="MSC2020">93E24</a> </td> <td class="space"> Least squares and related methods for stochastic control systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93D50" title="MSC2020">93D50</a> </td> <td class="space"> Consensus </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aconsensus+on+estimates">consensus on estimates</a>; <a href="/?q=ut%3Adistributed+estimation">distributed estimation</a>; <a href="/?q=ut%3Amulti-sensor+systems">multi-sensor systems</a>; <a href="/?q=ut%3Aregularized+least-squares+problem">regularized least-squares problem</a>; <a href="/?q=ut%3Arobust+filtering">robust filtering</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 1545.93634" data-ciurl="/ci/07841389" data-biburl="/bibtex/07841389.bib" data-amsurl="/amsrefs/07841389.bib" data-xmlurl="/xml/07841389.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07841389.pdf" title="Zbl 1545.93634 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.3385" aria-label="DOI for “Consensus-based robust least-squares filter for multi-sensor systems”" title="10.1002/acs.3385">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">Abolhasani, M.; 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