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These constraints include irregularity of the transfer intervals, time-varying communication delays, and the possibility of packet losses. A communication protocol that copes with these constraints is proposed. A &ldquo;stability+performance recovery&rdquo; result for the nonlinear model-based networked control system is formulated and proven. Simulation results presented confirm that the proposed method improves the maximum allowable transfer interval.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A5500849">Cited in <strong>20</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C57" title="MSC2020">93C57</a> </td> <td class="space"> Sampled-data 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><tr> <td> <a class="mono" href="/classification/?q=cc%3A93D20" title="MSC2020">93D20</a> </td> <td class="space"> Asymptotic stability in control theory </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Anetworked+control+systems">networked control systems</a>; <a href="/?q=ut%3Amodel-based+control">model-based control</a>; <a href="/?q=ut%3Anonlinear+control+systems">nonlinear control systems</a>; <a href="/?q=ut%3Asampled-data+systems">sampled-data systems</a></div> <!-- Modal used to show zbmath metadata in different output formats--> <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">&times;</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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1153.93449" data-ciurl="/ci/05500849" data-biburl="/bibtex/05500849.bib" data-amsurl="/amsrefs/05500849.bib" data-xmlurl="/xml/05500849.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05500849.pdf" title="Zbl 1153.93449 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.2008.01.031" aria-label="DOI for “On the model-based approach to nonlinear networked control systems”" title="10.1016/j.automatica.2008.01.031">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">Hristu, D.; Morgansen, K., Limited communication control, Systems &amp; Control Letters, 37, 4, 193-205 (1999) &middot; <a href="/0948.93034" class="nowrap">Zbl 0948.93034</a></td> </tr><tr> <td>[2]</td> <td class="space">Ishii, H.; Francis, B. A., Limited data rate in control systems with networks (2002), Springer-Verlag: Springer-Verlag Berlin &middot; <a href="/1001.93001" class="nowrap">Zbl 1001.93001</a></td> </tr><tr> <td>[3]</td> <td class="space">Khalil, H. K., Performance recovery under output feedback sampled-data stabilization of a class of nonlinear systems, IEEE Transactions on Automatic Control, 49, 12, 2173-2184 (2004) &middot; <a href="/1365.93402" class="nowrap">Zbl 1365.93402</a></td> </tr><tr> <td>[4]</td> <td class="space">Luck, R.; Ray, A., An observer-based compensator for distributed delays, Automatica, 26, 5, 903-908 (1990) &middot; <a href="/0701.93055" class="nowrap">Zbl 0701.93055</a></td> </tr><tr> <td>[5]</td> <td class="space">Montestruque, L. A.; Antsaklis, P. J., On the model-based control of networked control systems, Automatica, 39, 1837-1843 (2004) &middot; <a href="/1027.93023" class="nowrap">Zbl 1027.93023</a></td> </tr><tr> <td>[6]</td> <td class="space">Montestruque, L. A.; Antsaklis, P. J.; Hristu-Varsakelis, Dimitrios; Levine, William S., Networked control systems: A model-based approach, (Handbook of networked and embedded control systems (2005), Birkhauser: Birkhauser Boston), 601-625 &middot; <a href="/1094.93005" class="nowrap">Zbl 1094.93005</a></td> </tr><tr> <td>[7]</td> <td class="space">Naghshtabrizi, P., &amp; Hespanha, J. P. (2005). Designing an observer-based controller for a network control system. In <span class="zbmathjax-textit">44th IEEE conference on decision and control and 2005 european control conference CDC-ECC ’05</span>; Naghshtabrizi, P., &amp; Hespanha, J. P. (2005). Designing an observer-based controller for a network control system. In <span class="zbmathjax-textit">44th IEEE conference on decision and control and 2005 european control conference CDC-ECC ’05</span></td> </tr><tr> <td>[8]</td> <td class="space">Nesić, D.; Teel, A. R., A framework for stabilization of nonlinear sampled-data systems based on their approximate discrete-time models, IEEE Transactions on Automatic Control, 49, 7, 1103-1122 (2004) &middot; <a href="/1365.93281" class="nowrap">Zbl 1365.93281</a></td> </tr><tr> <td>[9]</td> <td class="space">Nesić, D.; Teel, A. R., Input-output stability properties of networked control systems, IEEE Transactions on Automatic Control, 49, 10, 1650-1667 (2004) &middot; <a href="/1365.93466" class="nowrap">Zbl 1365.93466</a></td> </tr><tr> <td>[10]</td> <td class="space">Nesić, D.; Teel, A. R.; Kokotović, P. V., Sufficient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations, Systems &amp; Control Letters, 38, 259-270 (1999) &middot; <a href="/0985.93034" class="nowrap">Zbl 0985.93034</a></td> </tr><tr> <td>[11]</td> <td class="space">Polushin, I. G.; Marquez, H. J., Multirate versions of sampled-data stabilization of nonlinear systems, Automatica, 40, 1035-1041 (2004) &middot; <a href="/1110.93039" class="nowrap">Zbl 1110.93039</a></td> </tr><tr> <td>[12]</td> <td class="space">Walsh, G. C.; Beldiman, O.; Bushnell, L. G., Asymptotic behavior of nonlinear networked control systems, IEEE Transactions on Automatic Control, 46, 1, 1093-1097 (2001) &middot; <a href="/1006.93040" class="nowrap">Zbl 1006.93040</a></td> </tr><tr> <td>[13]</td> <td class="space">Walsh, G. C.; Ye, H.; Bushnell, L. G., Stability analysis of networked control systems, IEEE Transactions on Control Systems Technology, 10, 438-446 (2002)</td> </tr><tr> <td>[14]</td> <td class="space">Zhang, L.; Hristu-Varsakelis, D., Communication and control co-design for networked control systems, Automatica, 42, 6, 953-958 (2006) &middot; <a href="/1117.93302" class="nowrap">Zbl 1117.93302</a></td> </tr><tr> <td>[15]</td> <td class="space">Zhang, W.; Branicky, M. S.; Phillips, S. M., Stability of networked control systems, IEEE Control Systems Magazine, 21, 84-99 (2001)</td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH&nbsp;Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching. </div> </div></article> </div></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> &copy; 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms &amp; Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none">&nbsp;<span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

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