Asynchronous finite-time H∞ control for Markov jump systems with T-S fuzzy rules(T-S模糊Markov跳变系统的有限时间H∞异步控制)

Abstract

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.(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。)

Keywords

• markov jump systems(markov跳变系统)
• fuzzy rules(模糊规则)
• asynchronous control(异步控制)
• h∞ finite-time boundedness(h∞有限时间有界)