Time‐regularization event‐triggered H∞$$ {H}_{\infty } $$ control for switched linear systems with frequent asynchronism

Abstract This paper addresses the time‐regularization event‐triggered control problem for a class of continuous‐time switched systems with frequent asynchronism and external disturbances. In the system, both the system state and the switching information are transmitted to the controller only at the event‐triggered sampling instants, which may cause the occurrence of asynchronous switching behavior. To solve the problem, we first propose a time‐regularization event‐triggered mechanism, which not only avoids Zeno behavior efficaciously, but also allows the system to switch multiple times in the holding interval. Then, based on the time‐regularization event‐triggered mechanism, the error system is modeled as a sampled switched delay system with augmented switching signal. After that, sufficient conditions for the exponentially stability and weighted performance of the switched system under average dwell time are derived by constructing multiple switching Lyapunov functions. Finally, a circuit example is given to illustrate the effectiveness of the proposed method.