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首页> 外文期刊>International Journal of Robust and Nonlinear Control >Reliable sliding mode finite‐time control for discrete‐time singular Markovian jump systems with sensor fault and randomly occurring nonlinearities
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Reliable sliding mode finite‐time control for discrete‐time singular Markovian jump systems with sensor fault and randomly occurring nonlinearities

机译：可靠的滑动模式有限时间控制，用于传感器故障和随机发生的非线性的离散时间单数马尔维亚跳转系统

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Summary > This paper focuses on the problem of finite‐time <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:rnc:media:rnc3872:rnc3872-math-0001" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/rnc3872-math-0001.png" overflow="scroll"> <mat:msub> <mat:mi>H</mat:mi> <mat:mi>∞</mat:mi> </mat:msub> </mat:math> control for one family of discrete‐time uncertain singular Markovian jump systems with sensor fault and randomly occurring nonlinearities through a sliding mode approach. The failure of sensor is described as a general and practical continuous fault model. Nonlinear disturbance satisfies the Lipschitz condition and occurs in a probabilistic way. Firstly, based on the state estimator, the discrete‐time close‐loop error system can be constructed and sufficient criteria are provided to guarantee the augment system is sliding mode finite‐time boundedness and sliding mode <mat:math xmlns:mat="http://www.w3.org/1998/Math/MathML" display="inline" altimg="urn:x-wiley:rnc:media:rnc3872:rnc3872-math-0002" xmlns:wiley="http://www.wiley.com/namespaces/wiley/wiley" wiley:location="equation/rnc3872-math-0002.png" overflow="scroll"> <mat:msub> <mat:mi>H</mat:mi> <mat:mi>∞</mat:mi> </mat:msub> </mat:math> finite‐time boundedness. The sliding mode control law is synthesized to guarantee the reachability of the sliding surface in a short time interval, and the gain matrices of state feedback controller and state estimator are achieved by solving a feasibility problem in terms of linear matrix inequalities through a decoupling technique. Finally, numerical examples are given to illustrate th </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 =“rnc3872-abs-abs-0001”xml：lang =“en”> <title type =“main” >摘要</ title> >本文侧重于有限时间<mat：math xmlns：mat =“http://www.w3.org/1998/math/mathml”display =“内联”altimg =“URN：X-Wiley：RNC：媒体：RNC3872：RNC3872-Math-0001”XMLNS：Wiley =“http://www.wiley.com/namespaces/wiley/wiley”wiley：location =“等式/ rnc3872- math-0001.png“overflow =”滚动“> <mat：msub> <may：mi> h </ mat：mi> <mat：mi>∞</ mat：mi> </ mat：msub> </ mat ：数学>控制一个离散时间不确定单数马尔维亚跳跃系统，通过滑动模式方法随机出现非线性。传感器的故障被描述为一般和实用的连续故障模型。非线性干扰满足嘴唇尖端条件并以概率的方式发生。首先，基于状态估计器，可以构建离散时间闭环错误系统，提供足够的标准来保证增强系统是滑动模式有限时间界限和滑动模式<mat：math xmlns：mat =“http ：//www.w3.org/1998/math/mathml“display =”内联“Altimg =”URN：X-Wiley：RNC：媒体：RNC3872：RNC3872-Math-0002“XMLNS：Wiley =”http：// www.wiley.com/namespaces/wiley/wiley“wiley：location =”等式/ rnc3872-math-0002.png“overflow =”scroll“> <mat：msub> <mat：mi> h </ mat：mi> <mat：mi>∞</ mat：mi> </ mat：msub> </ mat：math>有限时间界限。合成滑动模式控制规律以保证滑动表面在短时间内的可拆卸能力，并且通过解耦技术解决可行性矩阵不等式来实现状态反馈控制器和状态估计器的增益矩阵。最后，给出了数值例子来说明 </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>2018年第2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=Liu Yangfan&option=202" target="_blank" rel="nofollow">Liu Yangfan;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ma Yuechao&option=202" target="_blank" rel="nofollow">Ma Yuechao;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Wang Yanning&option=202" target="_blank" rel="nofollow">Wang Yanning;</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>College of ScienceYanshan UniversityQinhuangdao 066004 Hebei Province P.R. China;</p> <p>College of ScienceYanshan UniversityQinhuangdao 066004 Hebei Province P.R. China;</p> <p>College of ScienceYanshan UniversityQinhuangdao 066004 Hebei Province P.R. 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=decoupling&option=203" rel="nofollow">decoupling;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=H ∞ finite‐time boundedness&option=203" rel="nofollow">H ∞ finite‐time boundedness;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=linear matrix inequalities (LMIs)&option=203" rel="nofollow">linear matrix inequalities (LMIs);</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=randomly occurring nonlinearities (RONs)&option=203" rel="nofollow">randomly occurring nonlinearities (RONs);</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=sensor fault&option=203" rel="nofollow">sensor fault;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=singular Markovian jump systems&option=203" rel="nofollow">singular Markovian jump systems;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=sliding mode control&option=203" rel="nofollow">sliding mode control;</a> </p> <div class="translation"> 机译：去耦;H∞有限时间界限;线性矩阵不等式（LMI）;随机发生的非线性（rons）;传感器故障;单数马尔可夫跳跃系统;滑模控制; </div> </li> </ul> </div> </div> <div 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tuijian_authcolor"> . 叶志勇</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=王泽权&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,王泽权</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=唐朝君&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,唐朝君</a> <span> <a href="/journal-cn-7415/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 重庆理工大学学报（自然科学版） </a> </span> <span> . 2019</span><span>,第008期</span> </span> </div> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/academic-journal-cn_journal-zaozhuang-university_thesis/0201269889169.html">离散时间非线性马尔可夫跳变系统的H∞滤波</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=庄继晶&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 庄继晶</a> <span> <a href="/journal-cn-3849/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 枣庄学院学报 </a> </span> <span> . 2019</span><span>,第002期</span> </span> </div> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/academic-journal-cn_detail_thesis/0201296249539.html">离散时间马尔可夫跳变非线性系统H_∞控制</a> <b>[J]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=李长滨&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 李长滨</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=何熠&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,何熠</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=吴爱国&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,吴爱国</a> <span> <a href="/journal-cn-57408/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 模糊系统与数学 </a> </span> <span> . 2007</span><span>,第6期</span> </span> </div> </li> <li> <div> <b>6. </b><a class="enjiyixqcontent" href="/academic-conference-cn_meeting-13975_thesis/020221035450.html">随机时滞马尔可夫跳变非线性系统的鲁棒耗散控制</a> <b>[C]</b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=许莉娟&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 许莉娟</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=张天平&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,张天平</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=裔扬&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">,裔扬</a> <span> <a href="/conference-cn-13975/" target="_blank" rel="nofollow" class="tuijian_authcolor"> . 2010年中国自动化学会华东六省一市学术年会 </a> <span> <span> . 2010</span> </span> </div> </li> <li> <div> <b>7. </b><a class="enjiyixqcontent" href="/academic-degree-domestic_mphd_thesis/02031640950.html">随机扰动下离散时间马尔科夫跳跃系统的饱和控制器设计</a> <b>[A] </b> <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=方成铨&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor"> . 方成铨</a> <span> . 2012</span> </span> </div> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/patent-detail/06120101277084.html">向用于动态随机存取存储器(DRAM)的注册时钟驱动器(RCD)的命令及地址(CA)总线提供单数据速率(SDR)模式或双数据速率(DDR)模式</a> <b>[P]</b> . <span> 中国专利： CN110291511A </span> <span> . 2019-09-27</span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/patent-detail/061202607396.html">基于非线性随机模型的列车悬架系统传感器故障检测方法</a> <b>[P]</b> . <span> 中国专利： CN104458297B </span> <span> . 2017.10.10</span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130428077586.html">Method and system having instructions with different execution times in different modes, including a selected execution time different from default execution times in a first mode and a random execution time in a second mode</a> <b>[P]</b> . <span> 外国专利： <!-- 美国专利： --> US7647486B2 </span> <span> . 2010-01-12</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：具有在不同模式下具有不同执行时间的指令的方法和系统，包括与第一模式下的默认执行时间不同的选定执行时间和第二模式下的随机执行时间 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130409347073.html">DISCRETE-TIME SLIDING MODE CONTROLLER FOR NETWORKED CONTROL SYSTEM WITH RANDOM FRACTIONAL DELAY AND PACKET LOSS</a> <b>[P]</b> . <span> 外国专利： <!-- --> IN201721015486A </span> <span> . 2017-05-12</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：随机分数延迟和分组丢失的网络控制系统的离散时间滑模控制器 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130447386373.html">DEVICE AND METHOD FOR CONTROLLING DISCRETE TIME SLIDING MODE FOR PROCESS SYSTEM HAVING DEAD TIME</a> <b>[P]</b> . <span> 外国专利： <!-- 日本专利： --> JP2002318602A </span> <span> . 2002-10-31</span> </div> 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