Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2013 (2013), Article ID 948782, 7 pages.
Synchronization of Fractional-Order Chaotic Systems with Gaussian Fluctuation by Sliding Mode Control
Chaotic systems are always influenced by some uncertainties and external disturbances. This paper investigates the problem of practical synchronization of fractional-order chaotic systems with Gaussian fluctuation. A fractional integral (FI) sliding surface is proposed for synchronizing the uncertain fractional-order system, and then the sliding mode control technique is carried out to realize the synchronization of the given systems. One theorem about sliding mode controller is presented to prove that the proposed controller can make the system achieve synchronization. As a case study, the presented method is applied to the fractional-order Chen-Lü system, and simulation results show that the proposed control approach is capable to go against Gaussian noise well.
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 948782, 7 pages.
First available in Project Euclid: 27 February 2014
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Xu, Yong; Wang, Hua. Synchronization of Fractional-Order Chaotic Systems with Gaussian Fluctuation by Sliding Mode Control. Abstr. Appl. Anal. 2013 (2013), Article ID 948782, 7 pages. doi:10.1155/2013/948782. https://projecteuclid.org/euclid.aaa/1393512163