Asynchronous H∞ filtering for switched stochastic systems with time-varying delay

• DOI: 10.1016/j.ins.2012.10.009
• Publication Date: 2012-10-27T06:31:22Z
• Authors: Jie Lian; Chunwei Mu; Peng Shi
• Keywords: Asynchronous switching; 0209 industrial biotechnology; Institute for Logistics and Supply Chain Management (ILSCM); asynchronous switching; 02 engineering and technology; Time-varying delay; H∞ filtering; 0906 Electrical and Electronic Engineering; time-varying delay; ResPubID26667; Discrete-time switched systems; Exponential mean-square stability; ResPubID25827; exponential mean-square stability; discrete-time switched systems

This paper considers the H"~ filtering problem of discrete-time switched delay systems. Attention is focused on the design of an exponentially mean-square stable filter taking the asynchronous switching and missing measurements into account. New results on exponential mean-square stability and a weighted l"2-gain analysis for filtering error system are given. The closed-loop system is allowed to be unstable during the unmatched interval in which the switching signal of filter is different from that of the system. By using the average dwell time (ADT) and the Lyapunov-Krasovskii function methods, delay-dependent sufficient conditions for the desired H"~ filter are derived in terms of linear matrix inequalities (LMIs). A numerical example is provided to demonstrate the effectiveness of the proposed design approach.