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Robust adaptive control for nonlinear chaotic systems
Institution:College of Automatic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China; Huaihai Institute of Technology Department of Electronic, Lianyungang 222005, P. R.China;College of Automatic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China;Huaihai Institute of Technology Department of Electronic, Lianyungang 222005, P. R.China
Abstract:Tracking control of a nonlinear uncertain Chua's chaotic system is studied. With coordinate transform, Chua's chaotic system is transformed to a general form of a strict feedback control system. Combining the backstepping method with robust control technology, an adaptive parameter control law for a robust output feedback control scheme is developed for output tracking of nonlinear unknown systems. It is shown that the derived robust adaptive controller based on Lyapunov stability theory can guarantee global uniformly bounded ultimate property for all states of the closed loop system, and lead to tracking error decreasing at exponential speed. The simulation results show the effectiveness of the proposed approach.
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