Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models

This paper concerns with the stability analysis and synthesis of nonlinear retarded systems via linear Takagi-Sugeno (TS) fuzzy model approach, First, the TS fuzzy models with time-delay are present and the stability conditions are derived using Lyapunov-Razumikhin functional approach. Then a stabilization approach for nonlinear retarded systems through fuzzy state feedback and fuzzy observer-based controller is proposed. It shows that the analysis results provide an efficient technique for the design of fuzzy controllers. Sufficient conditions for the existence of fuzzy state feedback gain and fuzzy observer gain of the time-delay systems are derived through the numerical solution of a set of coupled linear matrix inequalities. (C) 2001 Elsevier Science B.V. All rights reserved.