Asynchronous Switching Control of Discrete-time Linear System Based on Mode-dependent Average Dwell Time

In this paper, we investigate the problem of asynchronous switching control for discrete-time linear systems with mode-dependent average dwell time (MDADT) switching and take the time delay constraints of mode-dependent controllers into consideration. In practical, owing to signal transmission, system detection, and the like, switching of controllers is often lagged behind their corresponding subsystems. Therefore, we divide the time interval of a subsystem operating into two parts: the controller-matched and the controlle.-mismatched. First, the controller of each subsystem is designed according to its mode-dependent parameters. Then, considering the lag time of controllers, the appropriate MDADT is derived based on Lyapunov stability conditions, and the global exponential stability of the asynchronous switched systems is guaranteed. Finally, a numerical example is provided to demonstrate the potential effectiveness of the proposed method.