R. Rajesh and M.R. Kaimal (India)
Fuzzy logic control, stability, Takagi-Sugeno fuzzy mod els, parallel distributed compensation, nonlinear systems, inverted pendulum.
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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