模态依赖时滞不确定Markov跳变系统的鲁棒H_∞容错控制  

Robust H_∞ Fault-tolerant Control of Markov jump system with mode-dependent time-delay uncertainty

作　　者：庞新蕊 付兴建[1] PANG Xin-rui;FU Xing-jian(School of Automation,Beijing Information Science and Technology University,Beijing 100192,China)

机构地区：[1]北京信息科技大学自动化学院

出　　处：《兰州理工大学学报》2020年第1期100-105,共6页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(61573230)

摘　　要：针对一类具有模态依赖时变输入时滞和状态时滞的不确定奇异Markov跳变系统,在执行器发生故障的情况下,研究了其鲁棒H∞容错控制问题.基于积分不等式的方法,通过构造Lyapunov-Krasovskii泛函,给出了此类系统存在无记忆状态反馈鲁棒容错控制律的充分条件,并设计了鲁棒H∞容错控制器,使得闭环系统稳定且满足一定的H∞干扰抑制水平.最后,仿真算例验证了该方法的有效性.Aimed at a class of singular Markov jump system with mode-dependent time-varying input time delay and state delay,its robust H∞fault-tolerant control problem was studied when actuator failure took place.Based on integral-inequality method,the sufficient condition of existence of robust H∞fault-tolerant control regularity of memory-less state feedback in such system was given by means of constructing Lyapunov-Krasovskii functional,and the robust H∞fault-tolerant controller was designed to make the closed-loop system stable and satisfactory to certain H∞interference inhibitation level.Finally,the effectiveness of the proposed method was verified by a simulation example.

关 键 词：奇异Markov跳变系统 不确定性 模态依赖 鲁棒H∞容错控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]