SYNCHRONIZATION OF UNCERTAIN FRACTIONAL ORDER CHAOTIC SPROTT CIRCUIT USING SLIDING MODE CONTROLLER

Mehran Tabasi and Saeed Balochian

Keywords

Synchronization, Sprott circuit fractional order chaotic system, master and slave system

Abstract

In this paper, fractional order sliding mode controller is used to synchronize Sprott fractional order chaotic electric circuits with fractional dynamic in the presence of uncertainty and bounded input disturbance. To this end, error dynamic is defined, and then simultaneous control system is designed through defining a proper sliding surface. Lyapunov theorem is presented to prove system stability. The important point is efficiency of the controller against uncertainty and input disturbance, which results in easy implementation of the controller in fractional order Sprott electric circuits. The simulations implemented in MATLAB show good performance of the introduced fractional order system using sliding mode controller in synchronizing Sprott chaotic system.

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