Dynamic event-triggered and guaranteed cost control for singular Markov jump systems with redundant channels

Abstract

This paper is concerned with the dynamic event-triggered and guaranteed cost control problem for singular Markov jump systems (SMJSs) with redundant channels. To save the resource of bandwidth limited network, the dynamic event-triggered scheme is proposed. The co-design of guranteed cost controllers and the dynamic event-triggered scheme is proposed in terms of a group of feasible linear matrix inequalities. Redundant channels have been employed to improve the success rate of released date over network, which have been modeled as two mutually independent Bernoulli distributed random variables. The criterion of regular, impulse free and stochastically stable with guranteed cost performance for the closed-loop system is obtained. Finally, a numerical example is given to illustrate the usefulness and effectiveness of the proposed method.