Adaptive Sliding Mode Control for Synchronization of a Fractional-Order Chaotic System

Author:

Li Chunlai1,Su Kalin2,Wu Lei3

Affiliation:

1. e-mail:

2. College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006,China

3. No. 6 Department, Air Force Paratrooper College, Guilin 541003,China

Abstract

This paper proposes a three-dimensional autonomous chaotic system which displays some interest dynamical behaviors such as invariable Lyapunov exponent spectrums and controllable signal amplitude. The corresponding fractional version of the proposed system is obtained. A single state controller for synchronization of this fractional-order chaotic system is developed based on the techniques of sliding mode control and adaptive control. Numerical simulations are provided to demonstrate the feasibility of the presented synchronization method.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

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