On the stability issues of linear Takagi-Sugeno fuzzy models
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Stability issues of linear Takagi-Sugeno (T-S) fuzzy models are investigated. We first propose a systematic way of searching for a common matrix, which, in turn, is related to stability for N subsystems that are under a pairwise commutative assumption. The robustness issue under uncertainty 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 rather broad class of T-S models, which are non-Hurwitz and/or nonpairwise commutative. © 1998 IEEE.
author list (cited authors)
Joh, J., Chen, Y., & Langari, R.