H∞ filtering for T-S fuzzy systems with multiple time-varying delays: An improved delays-dependent region partitioning method

Abstract

This paper is concerned with the H∞ filtering problem for discrete-time T-S fuzzy systems with multiple time-varying delays. In order to take advantage of all possible information about the relationship between all the delay related terms and the current system states, an improved delays-dependent region partitioning method is first proposed. Then, by applying the Jensen’s inequality and reciprocally convex method to the terms resulted from the region partitioning, new sufficient conditions in terms of linear matrix inequalities (LMIs) are constructed to guarantee the desired performance of the augmented system. Moreover, it is shown that the design techniques presented in this paper are less conservatism than the existing methods. Finally, an example of the tunnel diode circuit is given to verify the effectiveness and advantages of this method.