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Robust synchronization of fractional-order unified chaotic systems via linear control. (English) Zbl 1238.93045
Summary: A new scheme for accomplishing synchronization between two fractional-order unified chaotic systems is proposed. The scheme does not require that the nonlinear dynamics of the synchronization error system must be eliminated. Moreover, the parameter of the systems does not have to be known. A controller is a linear feedback controller, which is simple in implementation. It is designed based on an LMI condition. The LMI condition guarantees that the synchronization between the slave system and the master system is achieved. Numerical simulations are performed to demonstrate the effectiveness of the proposed scheme.

93C15Control systems governed by ODE
34A08Fractional differential equations
34H10Chaos control (ODE)
93A13Hierarchical systems
93B52Feedback control
37N35Dynamical systems in control
Full Text: DOI
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