Exponential H_∞ Criteria for Continuous-Time Switched Delay Systems

Abstract

This chapter deals with the problem of exponential H_∞ filtering for a class of continuous-time switched linear system with interval time-varying delay. The time delay under consideration includes two cases: one is that the time delay is differentiable and bounded with a constant delay-derivative bound while the other is that the time delay is continuous and bounded. Switched linear filters are designed to ensure that the filtering error systems under switching signalwith average dwell time are exponentially stable with a prescribed H_∞ noise attenuation level. Based on the results of filter design, the problem of model reductions for switched systems with two different kinds of time delays is also studied and sufficient conditions for the existence of the reduced-order model are derived in terms of LMIs. Finally, four numerical examples are presented to illustrate the effectiveness of the proposed techniques.