Fuzzy Tracking Control for a Class of Chaotic Systems

This paper addresses a linear matrix inequalities (LMI) based fuzzy robust regulation as a control method to synchronize two Lorenz´ chaotic attractors. On basis of the so called internal model approach, a methodology for the controller design is presented. By means of a combination of an exact Takagi-Sugeno (T-S) fuzzy model for the Lorenz attractor and the fuzzy regulation, a control law for the original nonlinear system is proposed. Concerning the stability property of the overall control system, sufficient conditions in the form of LMI´s are derived. By the design of local controllers for each subsystem, the regulation feature is achieved. The controller construction is described and the synchronization objective verified by numerical simulations