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Entropy 2015, 17(6), 4202-4214; doi:10.3390/e17064202

Sliding-Mode Synchronization Control for Uncertain Fractional-Order Chaotic Systems with Time Delay

1
School of Automotive Engineering, Dezhou University, Dezhou 253023, China
2
School of Economics and Management, Dezhou University, Dezhou 253023, China
*
Author to whom correspondence should be addressed.
Academic Editor: Raúl Alcaraz Martínez
Received: 30 March 2015 / Revised: 31 May 2015 / Accepted: 5 June 2015 / Published: 18 June 2015
(This article belongs to the Section Information Theory)
View Full-Text   |   Download PDF [992 KB, uploaded 18 June 2015]   |  

Abstract

Specifically setting a time delay fractional financial system as the study object, this paper proposes a single controller method to eliminate the impact of model uncertainty and external disturbances on the system. The proposed method is based on the stability theory of Lyapunov sliding-mode adaptive control and fractional-order linear systems. The controller can fit the system state within the sliding-mode surface so as to realize synchronization of fractional-order chaotic systems. Analysis results demonstrate that the proposed single integral, sliding-mode control method can control the time delay fractional power system to realize chaotic synchronization, with strong robustness to external disturbance. The controller is simple in structure. The proposed method was also validated by numerical simulation. View Full-Text
Keywords: sliding-mode control; fractional order chaotic systems; uncertainty time delay system; single controller sliding-mode control; fractional order chaotic systems; uncertainty time delay system; single controller
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Liu, H.; Yang, J. Sliding-Mode Synchronization Control for Uncertain Fractional-Order Chaotic Systems with Time Delay. Entropy 2015, 17, 4202-4214.

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