Simulation Research on Stability for T-S Fuzzy System

In order to relax the conservatism of stability analysis methods of T-S fuzzy system, by employing the concept of the efficient maximal overlapped-rules group (EMORG), a theorem is proposed to reduce the difficulty of stability analysis for T-S fuzzy system, which can guarantee the quadratic stability of the open-loop T-S fuzzy systems globally. This theorem only requires finding a local common positive definite matrix in each EMORG. Finally, an example is conducted to show the effectiveness of the proposed method.