An Anti-windup Design for T-S Fuzzy Time-Delay Systems with Saturating Inputs

This work presents an anti-windup control methodology to deal with the stabilization of nonlinear time-delay systems which are represented by Takagi-Sugeno (T-S) fuzzy models. The generic output feedback controller with anti-windup term is synthesized against the effect of actuator saturation. Based on delay-independent Lyapunov-Krasovskii functional analysis, a region of attraction that ensures convergence of the admissible initial states is determined. Sufficient conditions for the construction of anti-windup fuzzy controller are established in terms of linear matrix inequalities (LMIs). Design of control system is then formulated via convex optimization to maximize the region of attraction. Finally, numeric simulation is provided to validate the proposed approach.