Document Zbl 1527.93274

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J. Robust Nonlinear Control</a> <a href="/?q=in%3A505582" title="Articles in this Issue">32, No. 6, 3969-3985 (2022)</a>. </div> <div class="abstract">Summary: An event-triggered robust model predictive control (MPC) approach is proposed for linear discrete-time systems with bounded disturbances. According to the probability distribution of bounded disturbances, an event-triggered scheme involving a designed minimal robust positively invariant set is constructed to generate dynamic triggering sets. The MPC-related optimization problem subject to hard constraints should be solved only at event-triggered instants when the state is outside the corresponding triggering set. A classical tube-based MPC that allows the initially predicted state different from the current actual state of the plant is considered to improve the feasible region. The designed event-triggered controller can achieve a prescribed expectation of inter-execution times and reduce the burden of communication and computation, while not sacrificing the quadratic performance significantly. It is proved that the proposed control approach ensures recursive feasibility and robust stability. Three examples are used to demonstrate the effectiveness and advantages of the proposed method.<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%3A7773537">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%3A93C65" title="MSC2020">93C65</a> </td> <td class="space"> Discrete event control/observation systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93B45" title="MSC2020">93B45</a> </td> <td class="space"> Model predictive control </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93B35" title="MSC2020">93B35</a> </td> <td class="space"> Sensitivity (robustness) </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%3A93C05" title="MSC2020">93C05</a> </td> <td class="space"> Linear systems in control theory </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Aevent-triggered+MPC">event-triggered MPC</a>; <a href="/?q=ut%3Arobust+positively+invariant+sets">robust positively invariant sets</a>; <a href="/?q=ut%3Astochastic+triggering">stochastic triggering</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 1527.93274" data-ciurl="/ci/07773537" data-biburl="/bibtex/07773537.bib" data-amsurl="/amsrefs/07773537.bib" data-xmlurl="/xml/07773537.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07773537.pdf" title="Zbl 1527.93274 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/rnc.6011" aria-label="DOI for “Event-triggered robust model predictive control for linear discrete-time systems with a guaranteed average inter-execution time”" title="10.1002/rnc.6011">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">Tabuada, P., Event‐triggered real‐time scheduling of stabilizing control tasks, IEEE Trans Autom Control, 52, 9, 1680-1685, 2007 · <a href="/1366.90104" class="nowrap">Zbl 1366.90104</a></td> </tr><tr> <td>[2]</td> <td class="space">Girard, A., Dynamic triggering mechanisms for event‐triggered control, IEEE Trans Autom Control, 60, 7, 1992-1997, 2015 · <a href="/1360.93423" class="nowrap">Zbl 1360.93423</a></td> </tr><tr> <td>[3]</td> <td class="space">Wang, Z.; 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