On the stability issues of linear Takagi-Sugeno fuzzy models

  • Authors:

  • Joongseon Joh;Ye-Haw Chen;R. Langari

  • Affiliations:

  • Dept. of Control & Instrum. Eng., Changwon Nat. Univ., Kyungnam;-;-

  • Venue:
  • IEEE Transactions on Fuzzy Systems
  • Year:
  • 1998

Quantified Score

Hi-index 0.00

Visualization

Abstract

Stability issues of linear Takagi-Sugeno (TS) fuzzy models (1985, 1992) 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 TS models, which are nonHurwitz and/or nonpairwise commutative