Design of A No-chatter Fractional Sliding Mode Control Approach for Stabilization of Non-Integer Chaotic ‎Systems‎

Subject Areas : International Journal of Industrial Mathematics

R. Ziaratban ¹ , A. R. Haghighi ² , P. Reihani ³

1 - Department of Mathematic, Payame Noor University of Tehran, Iran.
2 - Department of Mathematical, Technical and Vocational University, Tehran, Iran.
3 - Department of Mathematic, Payame Noor University of Tehran, Iran.

Received: 2019-08-17 Accepted : 2020-05-19 Published : 2020-05-01

Keywords: frequency distributed model, Fractional-order systems, stabilization, Sliding mode control,

Abstract :

A nonlinear chattering-free sliding mode control method is designed to stabilize fractional chaotic systems with model uncertainties and external disturbances. The main feature of this controller is rapid convergence to equilibrium point, minimize chattering and resistance against uncertainties. The frequency distributed model is used to prove the stability of the controlled system based on direct method of Lyapunov theory. Numerical simulations are presented to illustrate the effectiveness of the method.