Document Zbl 1461.93402

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(2021)</a>. </div> <div class="abstract">Summary: For a chain of discrete-time integrators with arbitrary zeros and asymmetric input saturation, this paper develops globally asymptotically stabilizing full-state-feedback and dynamic-output-feedback controllers. These controllers extend prior results on nested-saturation controllers for discrete-time chains of integrators, and they are applied to setpoint command following and rejection of constant disturbances.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7335207">Cited in <strong>4</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93D15" title="MSC2020">93D15</a> </td> <td class="space"> Stabilization of systems by feedback </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><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></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Achain+of+integrators">chain of integrators</a>; <a href="/?q=ut%3Aglobal+stabilization">global stabilization</a>; <a href="/?q=ut%3Abounded+control">bounded control</a>; <a href="/?q=ut%3Aasymmetric+input+saturation">asymmetric input saturation</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 1461.93402" data-ciurl="/ci/07335207" data-biburl="/bibtex/07335207.bib" data-amsurl="/amsrefs/07335207.bib" data-xmlurl="/xml/07335207.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07335207.pdf" title="Zbl 1461.93402 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.2020.109387" aria-label="DOI for “Dynamic output-feedback control of a chain of discrete-time integrators with arbitrary zeros and asymmetric input saturation”" title="10.1016/j.automatica.2020.109387">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">Amini, S.; Ahi, B.; Haeri, M., Control of high order integrator chain systems subjected to disturbance and saturated control: A new adaptive scheme, Automatica, 100, 108-113 (2019) · <a href="/1411.93141" class="nowrap">Zbl 1411.93141</a></td> </tr><tr> <td>[2]</td> <td class="space">Benzaouia, A.; Burgat, C., Regulator problem for linear discrete-time systems with non-symmetrical constrained control, International Journal of Control, 48, 6, 2441-2451 (1988) · <a href="/0659.93029" class="nowrap">Zbl 0659.93029</a></td> </tr><tr> <td>[3]</td> <td class="space">Cao, N.; Lynch, A. 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J., Global stabilization of linear discrete-time systems with bounded feedback, Systems & Control Letters, 30, 5, 273-281 (1997) · <a href="/0901.93053" class="nowrap">Zbl 0901.93053</a></td> </tr><tr> <td>[21]</td> <td class="space">Yuan, C.; Wu, F., Switching control of linear systems subject to asymmetric actuator saturation, International Journal of Control, 88, 1, 204-215 (2015) · <a href="/1328.93136" class="nowrap">Zbl 1328.93136</a></td> </tr><tr> <td>[22]</td> <td class="space">Zheng, Z.; Jin, C.; Zhu, M.; Sun, K., Trajectory tracking control for a marine surface vessel with asymmetric saturation actuators, Robotics and Autonomous Systems, 97, 83-91 (2017)</td> </tr><tr> <td>[23]</td> <td class="space">Zhou, B.; Yang, X., Global stabilization of discrete-time multiple integrators with bounded and delayed feedback, Automatica, 97, 306-315 (2018) · <a href="/1406.93274" class="nowrap">Zbl 1406.93274</a></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 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"> © 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 & 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"> <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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