引用本文:陈惠英,刘仁伟,夏卫锋,李祖欣.Markov跳变系统的非同步事件触发耗散容错控制[J].控制理论与应用,2023,40(5):874~882.[点击复制]
CHEN Hui-ying,LIU Ren-wei,XIA Wei-feng,LI Zu-xin.Asynchronous event-triggered dissipative fault-tolerant control for Markov jump systems[J].Control Theory and Technology,2023,40(5):874~882.[点击复制]
Markov跳变系统的非同步事件触发耗散容错控制
Asynchronous event-triggered dissipative fault-tolerant control for Markov jump systems
摘要点击 1204  全文点击 331  投稿时间：2021-10-01  修订日期：2023-02-24
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DOI编号  10.7641/CTA.2021.10939
  2023,40(5):874-882
中文关键词  Markov跳变系统  非同步事件触发  非同步控制  隐Markov模型
英文关键词  Markov jump systems  asynchronous event-triggered  asynchronous control  hidden Markov model
基金项目  国家自然科学基金项目(61603133), 浙江省公益技术应用研究计划项目(LGG21E020001, LGG22F030023), 2020年度高等学校国内访问学者“教 师专业发展项目”(FX2020046)
作者单位E-mail
陈惠英 湖州师范学院 hychen@zjhu.edu.cn 
刘仁伟 湖州师范学院 1228250953@qq.com 
夏卫锋 湖州师范学院 xwf212@163.com 
李祖欣* 湖州学院 lzx@zjhu.edu.cn 
中文摘要
      本文主要研究一类具有执行器故障的Markov跳变系统的非同步事件触发耗散容错控制问题. 通过引入非同步事件触发器来降低传感器的采样数据传输频率, 从而降低通信消耗. 采用两个独立的隐Markov模型分别描述触发器、控制器与原系统之间的非同步现象. 在此框架下, 基于Lyapunov稳定性和耗散理论, 得到了闭环控制系统在执行器存在故障的情况下随机稳定并严格耗散的充分条件. 并借助矩阵不等式变换技术给出了触发器和控制器矩阵参数的求解方法, 实现了触发器和控制器的协同设计. 最后, 通过仿真研究验证了所提出的设计方法的有效性.
英文摘要
      This paper mainly studies the problem of asynchronous event-triggered dissipative fault-tolerant control for a class of Markov jump systems with actuator failures. An asynchronous event-trigger is introduced to reduce the sampling-data transmission frequency of the sensor, and thus reduce the communication consumption. Two independent hidden Markov models are used to describe the asynchronization between the trigger, the controller and the original system, respectively. Under this framework, based on the Lyapunov stability and dissipativity theory, the sufficient condition for stochastic stability and strict dissipativity of the closed-loop system in the case of actuator failures is obtained. With the help of matrix inequality transformation techniques, the solving approach of matrix parameters of the trigger and the controller is given, and the collaborative design of the trigger and the controller is realized. Finally, the effectiveness of the design method proposed in this paper is verified by simulation.