Asynchronous H∞ filtering of discrete-time switched systems

This paper investigates the stability and H-infinity filtering problems for a class of linear discrete-time switched systems with average dwell time (ADT) switching by allowing the Lyapunov-like functions to increase during the running time of subsystems. In this way, the issue of asynchronous switching between system modes and filters is captured. It is established that the proposed Lyapunov-like functions facilitates the mode-dependent design since the unmatched filters are allowed to perform in the interval of asynchronous switching before the matched ones are applied. The conditions of the existence of admissible asynchronous H-infinity filters are derived, and numerical examples are provided to show the potential and effectiveness of the developed results. (C) 2012 Elsevier By. All rights reserved.