In the present paper we propose a new optimal design method to determine the parameters of the optimized state feedback controller for non-linear systems described by continuous-time Takagi-Sugeno-Kang (TSK) models. The proposed method uses Ant Colony Optimization (ACO) technique, which consists of a new population-based approach proposed to solve several optimization problems. The simulation results show that the proposed method is indeed adaptive, robust and the optimized control is provided in a reasonable computing time.
non-linear systems, TSK fuzzy models, ACO control law, Lyapunov method, LMI formulation.