Delay-dependent fuzzy robust stability for uncertain nonlinear systems with time-delay

The problem of robust stability and robust H infinity control for uncertain time-delay system is discussed. A class of parametric uncertainties nonlinear time-delay system is modeled by fuzzy T-S model, and then a sufficient condition of delay-dependent robust asymptotic stability is presented in terms of LMIs. Furthermore, the robust stabilizibility conditions via state-feedback are further given, and one of which satisfies robust H performance index. Examples are provided to illustrate the effectiveness of the proposed method.