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

机译：一种新的开关离线NMPC方法，用于使用扩展模态方法的开关性能指数的非线性系统

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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><Abstract XMLNS =“http://www.wiley.com/namespaces/wiley”type =“main”xml：lang =“en”> <标题类型=“main”>摘要</ title> >本文提出了一种新的交换非线性模型预测控制（NMPC）方法，用于连续时间仿效输入非线性系统，其中多种不同的成本函数，其中在它们之间发生切换，以提高性能。在这种方法中，通过扩展模态序列方法解决了从Pontryagin的最大原理导出的NMPC相关的非线性两点边值问题。由此产生的次优控制法作为每个成本职能是可行的，并且具有明确的形式。为了保证闭环稳定性，在NMPC文献中和交换系统文献中考虑某些假设，例如寻找不变的终端区域和用于NMPC的可行解决方案，并考虑用于切换信号的一定平均停留时间。在本文中，我们考虑使用平均停留时间方法在不同的成本函数之间切换。从我们所提出的方法中，通过扩展模态序列方法获得的NMPC问题解决方案是可行的，并且由于满足终端区域的不变条件，因此可以建立交换NMPC的稳定性的公共假设。此外，我们表明该方法保证了整个闭环系统在存在未知持续干扰的情况下的稳定性。所提出的方法的适用性和有效性由两个数值例子说明。</ p> </摘要> </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 class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704024161125.html">A new switched off‐line NMPC approach for nonlinear systems with a switching performance index using an extended modal series method</a> <b>[J]</b> . <span> <a 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