T-S模糊Markov跳变系统的有限时间H_(∞)异步控制  

Asynchronous finite-time H_(∞)control for Markov jump systems with T-S fuzzy rules

作　　者：李秀英 姜囡 LI Xiuying;JIANG Nan(School of Mathematics,Tonghua Normal University,Tonghua 134002,Jilin Province,China;Department of Audio Visual and Image Technology,Criminal Investigation Police University of China,Shenyang 110854,China)

机构地区：[1]通化师范学院数学学院,吉林通化134002 [2]中国刑事警察学院声像资料检验技术系,辽宁沈阳110854

出　　处：《浙江大学学报（理学版）》2024年第1期14-20,共7页Journal of Zhejiang University（Science Edition）

基　　金：国家自然科学青年基金项目(61304021).

摘　　要：针对一类在Takagi-Sugeno模糊规则下的Markov跳变系统,研究了基于模糊状态反馈控制器的有限时间H_(∞)异步控制问题。采用隐Markov模型刻画了模糊控制器与原系统的异步现象。首先,通过构造Lyapunov函数,运用有限时间有界性和H_(∞)控制理论,得到了闭环系统H_(∞)有限时间有界的充分条件。其次,设计了模糊状态反馈异步控制器,使得闭环系统H_(∞)有限时间有界。最后,通过仿真算例验证了方法的有效性和可行性。This paper addresses the problem of fuzzy-state-feedback-controller-based finite-time H_(∞)asynchronous control for a class of Markov jump systems under Takagi-Sugeno fuzzy rules.The hidden Markov model is employed to describe the asynchronization between the fuzzy controller and the original system.Firstly,by means of constructing Lyapunov function,a sufficient condition for H_(∞)finite-time boundedness of the closed-loop system is obtained by using finite-time boundedness and H_(∞)control theory.Then,the asynchronous fuzzy state feedback controller is designed,which ensures H_(∞)finite-time boundedness of the closed-loop system.Finally,a simulation result is demonstrated to verify the effectiveness of the proposed method.

关 键 词：MARKOV跳变系统 模糊规则 异步控制 H_(∞)有限时间有界 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O211[自动化与计算机技术—控制科学与工程]