ON THE STABILITY ISSUES OF LINEAR TAKAGI-SUGENO FUZZY MODELS

Stability issues of linear Takagi-Sugeno (TS) fuzzy models are investi gated. We first propose a systematic way of searching for a common mat rix, which, in turn, is related to stability for N subsystems that are under a pairwise commutative assumption, The robustness issue under u ncertainty in each subsystem is then considered. We then show that the pairwise commutative assumption can, in fact, be relaxed by a similar approach as that for uncertainty, The result is applicable to a rathe r broad class of T-S models, which are non-Hurwitz and/or nonpairwise commutative.