Some Remarks on the Stability Conditions of Takagi-Sugeno Fuzzy Controllers

R. Rajesh and M.R. Kaimal (India)

Keywords

Fuzzy logic control, stability, TakagiSugeno fuzzy mod els, parallel distributed compensation, nonlinear systems, inverted pendulum.

Abstract

This paper provides some new and modified stability con ditions for Takagi-Sugeno Fuzzy Controllers and the asso ciated necessary conditions for the existence of a common positive definite matrix. This paper also proves that the existence of positive definite matrix for the Stability Con dition of Takagi-Sugeno Fuzzy Controller (SCTSFC) with Ö¾ inequalities implies the existence of positive definite ma trix for the Relaxed Stability Condition of Takagi-Sugeno Fuzzy Controller (RSCTSFC) with Ö´Ö · ½µ ¾ inequalities and the reverse is not true.

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