Controller design of T-S fuzzy systems with standard fuzzy partition inputs

A controller design approach of T-S fuzzy control systems is proposed in this paper. Firstly, a concept of the efficient maximal overlapped-rules group (EMORG) is presented, and a relaxed sufficient condition is derived to guarantee the quadratic stability of the closed-loop T-S fuzzy systems globally. This condition only requires finding a local common positive definite matrix in each EMORG. Then, by using the method of parallel distributed compensation (PDC), a fuzzy controller is designed. Finally, simulation studies for an illustrative example are conducted to show the effectiveness of the proposed method.