Abstract

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

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