Stability research on fuzzy systems based on efficient maximal overlapped-rules group

Stability analysis of fuzzy systems is an important research field. In this paper a concept of the efficient maximal overlapped-rules group (EMORG) is defined, and then a relaxed stability condition to T-S fuzzy systems is proposed, which can guarantee the quadratic stability of the open-loop T-S fuzzy systems globally. This condition only requires finding a local common positive definite matrix in each EMORG. Moreover, the proposed stability condition includes previous results as special cases.