Asynchronous Control for Discrete-time Switched Time-delay Systems with Mode-dependent Persistent Dwell-time

摘要

This paper deals with asynchronous control for discrete-time switched time-delay system with persistent dwell-time (PDT). The mode-dependent PDT switching is adopted, which is more general than average dwell time switching. Moreover, to deal with the mode-dependent delay in mode identification and signal transmission, the asynchronous phenomenon between controllers and subsystems is considered. A new mode-dependent Lyapunov function is constructed, which is suitable to the asynchronous PDT switching. Then, the sufficient condition for globally uniformly asymptotically stable (GUAS) of the discrete-time switched time-delay system is proposed. Further, the asynchronous controller and switching law are designed such that the closed-loop system is GUAS. Finally, an application example of water pollution is given to show the effectiveness of the proposed method.