Robust Dissipative Control for T-S Fuzzy Systems with Time-varying Delays

Robust dissipative state feedback controllers for uncertain Takagi-Sugeno (T-S) fuzzy systems with time-varying delays are designed in this paper. The parametric uncertainty is assumed to be norm bounded. Sufficient condition on the existence of robust dissipative controller is derived based on Lyapunov stability theory. Robust dissipative controller is obtained in terms of linear matrices inequality. The proposed controller can guarantee that for all admissible uncertainties, the resultant closed-loop systems are stable and satisfy dissipative performance. All the results presented in this paper are independent of time-varying delays which satisfy the bounded conditions