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Design of sliding mode controller for a class of fractional-order chaotic systems. (English) Zbl 1248.93041
Summary: In this paper, a sliding mode control law is designed to control chaos in a class of fractional-order chaotic systems. A class of unknown fractional-order systems is introduced. Based on the sliding mode control method, the states of the fractional-order system have been established, even if the system with uncertainty is subjected to external disturbances. In addition, chaos control is implemented in the fractional-order Chen system, the fractional-order Lorenz system, and the same to the fractional-order financial system by utilizing this method. Effectiveness of the proposed control scheme is illustrated through numerical simulations.

93B12Variable structure systems
34A08Fractional differential equations
37N35Dynamical systems in control
93C15Control systems governed by ODE
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