Dynamic event-based asynchronous $H_{infty }$H

摘要

This study is concerned with the issue of asynchronous H-infinity control for a class of T-S fuzzy singular Markov jump system with redundant channels under a dynamic event-triggered scheme. To save the resource of bandwidth limited network, a dynamic event-triggered scheme is proposed. The technique of redundant channels is adopted to improve the success rate of released data over network, which have been modelled as two mutually independent Bernoulli distributed random variables. The hidden Markov model is utilised to describe asynchronisation phenomena between the system modes and the controller modes. Based on the stochastic Lyapunov functional and the method of free-weighting matrices, the criterion of regular, impulse free and stochastically stable with a certain H-infinity performance for the closed-loop system is obtained. The co-design of asynchronous controller and the weighting matrices of the dynamic event-triggered scheme is proposed in terms of a group of feasible linear matrix inequalities. Finally, two examples with dynamic and static event-triggered schemes are given to illustrate the usefulness and effectiveness of the proposed method.