Fault‐tolerant control for Markovian jump systems with general uncertain transition rates against simultaneous actuator and sensor faults

Li Xiaohang; Zhu Fanglai

摘要

Summary xml:id="rnc3791-para-0001">This paper investigates the problems of simultaneous estimations of actuator faults and sensor faults, as well as fault‐tolerant control schemes for a class of Markovian jump systems with general uncertain transition rates. In a general uncertain transition rate matrix model, transition rate may be completely unknown, or one can only acquire its estimated value, which makes the design much more challenging. First, the original system is transformed into a descriptor one by extending the sensor faults to be parts of state vector. Then, a robust stochastic adaptive observer is designed for the descriptor system with the actuator fault being adjusted by an adaptive law. On the basis of the estimated states as well as estimated actuator and sensor faults, a fault‐tolerant control strategy is proposed to make the resulting closed‐loop system stable in the presence of the actuator fault. Sufficient existence conditions of the observer and controller are derived in terms of linear matrix inequalities. Finally, three practical examples are given to validate the high efficiency of our proposed method. Copyright ? 2017 John Wiley & Sons, Ltd. </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：id =“rnc3791-abs-0001”xml：lang =“en”> <标题类型=“main” >摘要</ title> XML：ID =“RNC3791-PARA-0001”>本文调查了同时估算了执行器故障和传感器故障的问题，以及一类马尔可夫跳转系统的容错控制方案具有一般不确定的过渡率。在一般不确定的过渡率矩阵模型中，过渡率可以是完全未知的，或者一个人只能获取其估计值，这使得设计更具有挑战性。首先，通过将传感器故障扩展到状态向量的部分来将原始系统转换为描述符。然后，设计了一种坚固的随机自适应观察者，用于描述具有由自适应法调节的致动器故障的描述符系统。在估计的状态以及估计的执行器和传感器故障的基础上，提出了一种容错控制策略，以使所得到的闭环系统在执行器故障的存在下稳定。观察者和控制器的足够存在条件是在线性矩阵不等式的。最后，给出了三个实际的例子来验证我们所提出的方法的高效率。版权？ 2017年John Wiley＆amp; SONS，LTD。</ p> </ abstract> </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18期</span><b style="margin: 0 2px;">|</b><span>共30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=Li Xiaohang&option=202" target="_blank" rel="nofollow">Li Xiaohang;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Zhu Fanglai&option=202" target="_blank" rel="nofollow">Zhu Fanglai;</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 Electronics and Information EngineeringTongji UniversityShanghai China;</p> <p>College of Electronics and Information EngineeringTongji UniversityShanghai 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=Markovian jump system&option=203" rel="nofollow">Markovian jump system;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=generally uncertain transition rate&option=203" rel="nofollow">generally uncertain transition rate;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=fault estimation&option=203" rel="nofollow">fault estimation;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=fault‐tolerant control&option=203" rel="nofollow">fault‐tolerant control;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=adaptive observer&option=203" rel="nofollow">adaptive observer;</a> </p> <div class="translation"> 机译：马尔可夫跳跃系统;一般不确定的过渡率;故障估计;容错控制;自适应观察者; </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 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