Robust sliding mode control for fractional-order chaotic economical system with parameter uncertainty and external disturbance

doi:10.1088/1674-1056/24/3/030504

Abstract This paper presents a modified sliding mode control for fractional-order chaotic economical systems with parameter uncertainty and external disturbance. By constructing the suitable sliding mode surface with fractional-order integral, the effective sliding mode controller is designed to realize the asymptotical stability of fractional-order chaotic economical systems. Comparing with the existing results, the main results in this paper are more practical and rigorous. Simulation results show the effectiveness and feasibility of the proposed sliding mode control method.

Keywords: fractional-order chaotic systems economical system sliding mode control parameter uncertainty

Received: 24 April 2014
Revised: 23 June 2014
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Jn	(High-dimensional chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 51207173 and 51277192).

Corresponding Authors: Wang Zhi-Hui
E-mail: cquwzh@163.com

Cite this article:

Zhou Ke (周柯), Wang Zhi-Hui (王智慧), Gao Li-Ke (高立克), Sun Yue (孙跃), Ma Tie-Dong (马铁东) Robust sliding mode control for fractional-order chaotic economical system with parameter uncertainty and external disturbance 2015 Chin. Phys. B 24 030504

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Robust sliding mode control for fractional-order chaotic economical system with parameter uncertainty and external disturbance

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