Delay-dependent robust L_2- L_∞ filtering of T-S fuzzy systems with time-varying delays

摘要

This paper considers the problem of robust delay-dependent L_2- L_∞ filtering for a class of Takagi-Sugeno fuzzy systems with time-varying delays. The purpose is to design a fuzzy filter such that both the robust stability and a prescribed L_2- L_∞ performance level of the filtering error system are guaranteed. A delay-dependent sufficient condition for the solvability of the problem is obtained and a linear matrix inequality (LMI) approach is developed. A desired filter can be constructed by solving a set of LMIs.