H∞ filtering of discrete-time switched systems with average dwell time under asynchronous switching

Abstract

This paper is concerned with the H∞ filter design problem for a class of switched discrete-time system with average dwell time under asynchronous switching. Since the unmatched filters are allowed to perform in the interval of asynchronous switching before the matched ones, the issue of asynchronous switching between system modes and filters are investigated based on the average dwell time approach and multiple Lyapunov-like function method, and the sufficient conditions are presented for the filtering error system to be exponentially stable with a prescribed H∞ performance. At last, an example is given to illustrate the effectiveness of the proposed method.