H∞ Filtering for Continuous-Time T-S Fuzzy Systems With Partly Immeasurable Premise Variables

This paper is concerned with the H-infinity filtering problem for T-S fuzzy systems with partly immeasurable premise variables. By using measurable premise variables of fuzzy models as the premise variables of fuzzy filters, a new fuzzy filter scheme is constructed. Further based on the new filter scheme and a class of new line integral fuzzy Lyapunov functions, a convex condition for designing H-infinity filters is proposed. In contrast to the existing approaches, the new condition can take full use of measurable premise variables for less conservative design. A numerical example is given to illustrate the effectiveness of the proposed method.