Stability analysis of continuous-time Takagi-Sugeno fuzzy systems with parameter uncertainties

Abstract

The problem of releasing the conservatism of stability criteria continuous-time Takagi-Sugeno fuzzy systems with parameter uncertainties is addressed in this paper. The parameter uncertainties of system parameter matrices are assumed to be time-varying and norm-bounded. By using the fuzzy Lyapunov function, sufficient stability conditions are proposed for verifying the asymptotical stability of the continuous-time Takagi-Sugeno fuzzy systems with parameter uncertainties. Furthermore, a kind of technique for introducing additional matrix variables is applied for obtaining less conservative stability criteria. The obtained stability criteria are give in terms of linear matrix inequalities(LMIs), which can be easily solved via standard numerical software. Finally, a numerical example is also provided to illustrate the effectiveness of the proposed method.