Improved results on observer-based control for discrete-time fuzzy systems

This paper is concerned with the design problem of observer-based H-infinity control for discrete-time Takagi-Sugeno (T-S) fuzzy systems. New sufficient conditions guaranteeing the H infinity performance of the T-S fuzzy systems are derived. With the aid of some special derivations, bilinear matrix inequalities are converted into a set of linear matrix inequalities which can be solved using a single-step resolution procedure. In comparison with the existing literature results, the proposed approach may provide more relaxed conditions while ensuring better H infinity performance. Finally, both numerical and practical examples are given to verify the effectiveness of the proposed approach.