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

This paper is concerned with H∞ 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 a class of line integral fuzzy Lyapunov functions, a convex condition for designing H∞ 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. Index Terms T-S fuzzy control systems, immeasurable premise variables, H∞ filter, linear matrix inequalities (LMIs). Jiuxiang Dong is with the College of Information Science and Engineering, Northeastern University, Shenyang, 110819, P. R. China. Emails: [email protected] Guang-Hong Yang is with the College of Information Science and Engineering, Northeastern University, Shenyang, 110819, P. R. China. Emails: [email protected]