Finite-time H∞ control of switched systems with mode-dependent average dwell time

In this paper, finite-time H∞ control problem for a class of switched linear systems with mode-dependent average dwell time (MDADT) is investigated in discrete-time context. Since each mode has its own average dwell time (ADT), the switching law in this paper is more general than the average dwell time. Mode dependent controllers, which guarantee the finite-time boundedness with a prescribed H∞ performance of the closed-loop systems, are designed for the switched system. Two numerical examples are given to demonstrate the validity of the proposed techniques.