Robust Filtering of Discrete-Time T-S Fuzzy Time-Delay Systems

Abstract

This chapter is concerned with system performance analysis and filter design for T-S fuzzy systems with time-varying delay. Sufficient conditions of stability analysis satisfying the given performance level are presented for the augmented filtering error system by the input-output approach. Based on these conditions, the filtering problem for the concerned T-S fuzzy systems can be solved efficiently. Furthermore, the reliable filtering problem is studied for T-S fuzzy time-delay systems with incomplete sensor information. Based on the extension of reciprocally convex idea to the construction of basisdependent LKF, the desired reliable filter is also obtained, which makes the corresponding filtering error system stable with strict dissipativity.