Stabilization of linear singular systems with state delay and event-triggered scheme

Abstract

This paper is concerned with the problems of modeling and stabilization for a class of singular systems with state delay and event-triggered scheme. Based on event-triggered scheme, a model of singular closed-loop system is proposed. In this paper, all of the problems of regular, impulse-free and stable are considered. According to the model, sufficient conditions of regular, impulse free and stable for the singular systems with state delay are derived in terms of linear matrix inequalities. Furthermore, the co-design method of corresponding controller and event-triggered condition is also developed. The proposed method emphasizes the implementation of event-triggered control to singular systems with time delay. Finally, a simulation example is given to illustrate the proposed method.