A μ-dependent approach to H∞ control of uncertain switched linear systems with average dwell time

This paper concerns H-infinity control problem for a class of discrete-time uncertain switched linear systems with average dwell time. The stability result for general discrete-time switched systems is first explored, and a mu-dependent approach is then introduced for the considered systems to the H-infinity controller solution. A mode-dependent state-feedback controller is designed such that the resulting closed-loop system is robust exponentially stable and has a prescribed exponential H-infinity performance index. The mu-dependent existence conditions of desired controller and admissible switching signals are derived and formulated in terms of linear matrix inequalities (LMIs). A numerical example is given to demonstrate the effectiveness of the developed theoretical results. Copyright (C) 2009 John Wiley & Sons, Ltd.