Stability analysis of the discrete Takagi-Sugeno fuzzy model with time-varying consequent uncertainties

In this paper, we present two new robust stability criteria to analyze the robust stability of the discrete Takagi-Sugeno (TS) fuzzy dynamic model wit h time-varying consequent uncertainties. These proposed robust stability cr iteria do not need finding a common positive-definite matrix solution of Ly apunov equations and do not need solving any Lyapunov equation, therefore t hese robust stability criteria enable us to check the robust stability of t he discrete TS fuzzy model with more convenient computation and enable us t o analyze the robust stability of the discrete TS fuzzy model whose rules d o not have a common positive-definite matrix solution of Lyapunov equations . Two examples are included to illustrate the applications of the proposed methods. (C) 2001 Elsevier Science B.V. All rights reserved.