Parameter identification and synchronization of fractional-order chaotic systems. (English) Zbl 1245.93039

Summary: The knowledge about parameters and order is very important for synchronization of fractional-order chaotic systems. In this article, identification of parameters and order of fractional-order chaotic systems is converted to an optimization problem. Particle swarm optimization algorithm is used to solve this optimization problem. Based on the above parameter identification, synchronization of the fractional-order Lorenz, Chen and a novel system (commensurate or incommensurate order) is derived using active control method. The new fractional-order chaotic system has four-scroll chaotic attractors. The existence and uniqueness of solutions for the new fractional-order system are also investigated theoretically. Simulation results signify the performance of the work.


93B30 System identification
93C15 Control/observation systems governed by ordinary differential equations
34A08 Fractional ordinary differential equations
Full Text: DOI


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