Finite-time Control for Switched Discrete-time System

摘要

Finite-time stability concerns the boundness of system during a fixed finite-time interval. In this paper, the problem of finite-time stabilization for switched discrete-time systems is addressed. Both the fast switching and slow switching case are considered. In fast switching case, the designed state feedback controller combines controllers for each subsystem and resetting controller at switching instant, it is shown that the resetting controller can reduce the conservativeness on controller design. Under slow switching, state feedback controller is designed with admissible average dwell time. Several numerical examples are given to illustrate the proposed results within this paper.