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Mixed HH 22 / HH ∞ control of synchronization for coupled partial differential systems

机译:混合 h h 2 2 / h h ∞耦合偏差系统的同步控制

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Summary xml:id="rnc3722-para-0001"> In this paper, we address the mixed <fi>H</fi> <sub>2</sub> / <fi>H</fi> <sub> <fi>∞</fi> </sub> synchronization control for the coupled partial differential systems. First, we introduce the synchronization error dynamics and transform the problem of mixed <fi>H</fi> <sub>2</sub> / <fi>H</fi> <sub> <fi>∞</fi> </sub> synchronization control of coupled partial differential systems into the problem of mixed <fi>H</fi> <sub>2</sub> / <fi>H</fi> <sub> <fi>∞</fi> </sub> stabilization of the synchronization error dynamics. Then, both the finite and infinite horizon cases for the mixed <fi>H</fi> <sub>2</sub> / <fi>H</fi> <sub> <fi>∞</fi> </sub> synchronization control are considered. Sufficient conditions guaranteeing the existence of the solutions to the mixed <fi>H</fi> <sub>2</sub> / <fi>H</fi> <sub> <fi>∞</fi> </sub> synchronization control problem are given via a standard completing square technique. When the states of the synchronization error systems are unavailable, the Lunberger observer is designed, and the observer‐based mixed <fi>H</fi> <sub>2</sub> / <fi>H</fi> <sub> <fi>∞</fi> </sub> synchronization problem is investigated. Based on the solutions to the coupled differential Riccati equations, the optimal control for the observer‐based mixed <fi>H</fi> <sub>2</sub> / <fi>H</fi> <sub> </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:id =“rnc3722-abs-abs-abs-0001”> <标题类型=“main”>摘要</ title> < P XML:ID =“RNC3722-PARA-0001”>在本文中,我们地址混合<fi> h </ fi> <sub> 2 </ sub> / <fi> h </ fi> <sub> < fi>∞</ fi> </ sub>耦合部分差分系统的同步控制。首先,我们介绍同步误差动态,并转换混合<fi> h </ fi> <sub> 2 </ sub> / <fi> h </ fi> <sub> <fi>∞</ fi>的问题</ sub>耦合局部差分系统的同步控制混合<fi> h </ fi> <sub> 2 </ sub> / <fi> h </ fi> <sub> <fi>∞</ fi> </ sub>稳定同步误差动态。然后,混合<fi> h </ fi> <sub> 2 </ sub> <fi> </ fi> </ fi> </ fi> </ fi> </ fi> </ fi> </考虑Sub>同步控制。足够的条件保证混合<fi> h的溶液的存在性<fi> <sub> 2 </ sub> / <fi> h </ fi> <sub> </ fi> </ sub >同步控制问题通过标准完成方形技术给出。当同步误差系统的状态不可用时,设计Lunberger观察者,并且基于观察者的混合<fi> <sub> 2 </ sub> <fi> h </ fi> <sub > <fi>∞</ fi> </ sub>同步问题进行了调查。基于耦合差分Riccati方程的解决方案,基于观察者的混合<Fi> <Fi> <sub> 2 </ sub> / <fi> h </ fi> <sub>的最佳控制 </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-21736/'>《International Journal of Robust and Nonlinear Control》</a> <b style="margin: 0 2px;">|</b><span>2017年第9期</span><b style="margin: 0 2px;">|</b><span>共22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=Wu Kai‐Ning&option=202" target="_blank" rel="nofollow">Wu Kai‐Ning;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Wang Jian&option=202" target="_blank" rel="nofollow">Wang Jian;</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 MathematicsHarbin Institute of Technology at WeihaiWeihai 264209 China;</p> <p>Department of MathematicsHarbin Institute of Technology at WeihaiWeihai 264209 China;</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/7742.html" title="自动化系统">自动化系统;</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=synchronization&option=203" rel="nofollow">synchronization;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=mixed H 2 / H ∞ control&option=203" rel="nofollow">mixed H 2 / H ∞ control;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=partial differential systems&option=203" rel="nofollow">partial differential systems;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=observer‐based&option=203" rel="nofollow">observer‐based;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Riccati equation&option=203" rel="nofollow">Riccati equation;</a> </p> <div class="translation"> 机译:同步;混合H 2 /H∞控制;部分差分系统;基于观察者;Riccati方程; 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=“inline”overflow =“scroll”xmlns:xocs =“ http://www.elsevier.com/xml/xocs/dtd“xmlns:xs =”http://www.w3.org/2001/xmlschema“xmlns:xsi =”http://www.w3.org/ 2001 / XMLSchema-instance“XMLNS =”http://www.elsevier.com/xml/ja/dtd“ XMLNS:JA =“http://www.elsevier.com/xml/ja/dtd”xmlns:mml =“http://www.w3.org/1998/math/mathml”xmlns:tb =“http:/ / www.elsevier.com/xml/common/table/dtd“xmlns:sb =”http://www.elsevier.com/xml/common/struct-bib/dtd“xmlns:ce =”http:// www .elsevier.com / xml / common / dtd“xmlns:xlink =”http://www.w3.org/1999/xlink“xmlns:cals =”http://www.elsevier.com/xml/common/cals / dtd“> <mml:msub> <mml:mrow> <mml:mi> h </ mml:mi> </ mml:mrow> <mml:mrow> <mml:mi>∞</ mml:mi> < / MML:MROW> </ MML:MSUB> </ MML:MATH>用于交换系统的控制</span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right rightcon"> <div class="details_img 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