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

作　　者：陈惠英 刘仁伟 夏卫锋 李祖欣 CHEN Hui-ying;LIU Ren-wei;XIA Wei-feng;LI Zu-xin(School of Engineering,Huzhou University,Huzhou Zhejiang 313000,China;School of Intelligent Manufacturing,Huzhou College,Huzhou Zhejiang 313000,China)

机构地区：[1]湖州师范学院工学院,浙江湖州313000 [2]湖州学院智能制造学院,浙江湖州313000

出　　处：《控制理论与应用》2023年第5期874-882,共9页Control Theory & Applications

基　　金：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)资助。

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.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.

关 键 词：MARKOV跳变系统 非同步事件触发 非同步控制 隐MARKOV模型 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]