A new switched off‐line NMPC approach for nonlinear systems with a switching performance index using an extended modal series method

Sajjadi Samaneh Sadat; Karimpour Ali; Pariz Naser; Jajarmi Amin

摘要

Summary >This paper presents a new switched nonlinear model predictive control (NMPC) approach for continuous‐time affine‐input nonlinear systems with a number of different cost functions where switching occurs between them in order to improve the performance. In this approach, the NMPC‐related nonlinear two‐point boundary value problem derived from Pontryagin's maximum principle is solved by the extended modal series method. The resulting suboptimal control law as to each of the cost functions is feasible and has an explicit form. In order to guarantee closed‐loop stability, certain assumptions are considered in the NMPC literature and in the switched systems literature, such as finding an invariant terminal region and a feasible solution for the NMPC and considering a certain average dwell time for switching signals. In this paper, we consider switching among different cost functions using the average dwell‐time approach. Since, in our proposed method, the NMPC problem solution obtained by the extended modal series method is feasible and since the invariance condition for the terminal region is satisfied, the common assumptions for the stability of the switched NMPC can be established. Furthermore, we show that this method guarantees the stability of the entire closed‐loop system in the presence of unknown persistent disturbances. The applicability and effectiveness of the proposed approach are illustrated by two numerical examples. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span>None </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-27675/'>《Optimal Control Applications and Methods》</a> <b style="margin: 0 2px;">|</b><span>2018年第6期</span><b style="margin: 0 2px;">|</b><span>共17页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Sajjadi Samaneh Sadat&option=202" target="_blank" rel="nofollow">Sajjadi Samaneh Sadat;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Karimpour Ali&option=202" target="_blank" rel="nofollow">Karimpour Ali;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Pariz Naser&option=202" target="_blank" rel="nofollow">Pariz Naser;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Jajarmi Amin&option=202" target="_blank" rel="nofollow">Jajarmi Amin;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Department of Electrical and Computer EngineeringHakim Sabzevari UniversitySabzevar Iran;</p> <p>Advanced Control and Nonlinear Laboratory Department of Electrical EngineeringFerdowsi University of MashhadMashhad Iran;</p> <p>Advanced Control and Nonlinear Laboratory Department of Electrical EngineeringFerdowsi University of MashhadMashhad Iran;</p> <p>Department of Electrical EngineeringUniversity of BojnordBojnord Iran;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/1147.html" title="应用数学">应用数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=disturbance rejection&option=203" rel="nofollow">disturbance rejection;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=extended modal series method&option=203" rel="nofollow">extended modal series method;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Pontryagin's maximum principle&option=203" rel="nofollow">Pontryagin's maximum principle;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=switched nonlinear model predictive control&option=203" rel="nofollow">switched nonlinear model predictive control;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=switching performance index&option=203" rel="nofollow">switching performance index;</a> </p> <div class="translation"> 机译：扰动抑制;延长模态序列方法;Pontryagin的最大原理;切换非线性模型预测控制;切换性能指数; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div 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<div> <b>2. </b><a class="enjiyixqcontent" href="/patent-detail/06130441384215.html">Optical system warns of approach of a cycle with a series of switch-operated flashes visible from all sides</a> <b>[P]</b> . <span> 外国专利：  DE20315212U1 </span> <span> . 2004-02-12</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：光学系统通过一系列从各个侧面可见的开关操作的闪光灯来警告周期即将来临 </span> </p> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130413064340.html">Series-parallel switching system, power supply apparatus, power supply control apparatus, and series-parallel switching method</a> <b>[P]</b> . <span> 外国专利：  JP5817103B2 </span> <span> . 2015-11-18</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：串并联切换系统，电源装置，电源控制装置以及串并联切换方法 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