Asynchronous H∞ filtering of discrete-time switched systems

This paper investigates the stability and H∞H∞ 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∞H∞ filters are derived, and numerical examples are provided to show the potential and effectiveness of the developed results.

► Asynchronous switching between system modes and filters has been captured for a class of linear discrete-time switched systems. ► The Lyapunov-like functions are allowed to increase during the running time of subsystems in order to facilitate the mode-dependent design. ► The conditions of the existence of admissible asynchronous H∞H∞ filters are derived.