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 with time-varying consequent uncertainties. These proposed robust stability criteria do not need finding a common positive-definite matrix solution of Lyapunov equations and do not need solving any Lyapunov equation, therefore these robust stability criteria enable us to check the robust stability of the discrete TS fuzzy model with more convenient computation and enable us to analyze the robust stability of the discrete TS fuzzy model whose rules do 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.