Adaptive robust synchronization of fractional-order chaotic system with disturbance. (August 2015)

• Record Type: Journal Article
• Authors: Feng, Ming-Ku; Wang, Xing-Yuan; Wei, Qiang
• Is Part Of: Journal of vibration and control. Volume 21:Number 11(2015)
• Page Start: 2259
• Page End: 2265
• Publication Date: 2015-08
• Subjects: Adaptive control -- adaptive modified projective synchronization -- fractional-order chaotic system -- robust synchronization -- stability theory of fractional-order systems; Vibration -- Periodicals; Damping (Mechanics) -- Periodicals; 620.3
• DOI: 10.1177/1077546313508970
• Languages: English
• ISSNs: 1077-5463

Abstract

In this article, an adaptive modified projective synchronization scheme of fractional-order chaotic systems with unknown parameters and disturbance is investigated. The synchronization can be completed with any desired accuracy. Based on the stability theory of fractional-order systems, the adaptive controllers and the parameters' updated laws are designed to achieve modified projective synchronization between the fractional-order chaotic systems with disturbance. Furthermore, all unknown parameters of the response system are identified simultaneously. Numerical simulations on the fractional-order chaotic Lorenz system further demonstrate that the proposed method is effective and robust.