Synchronization of Chaotic Fractional-Order WINDMI Systems via Linear State Error Feedback Control

Baogui Xin, Tong Chen and Yanqin Liu

Mathematical Problems in Engineering, 2010, vol. 2010, 1-10

Abstract:

We propose a fractional-order WINDMI system, as a generalization of an integer-order system developed by Sprott (2003). The considered synchronization scheme consists of identical master and slave fractional-order WINDMI systems coupled by linear state error variables. Based on the stability theory of nonlinear fractional-order systems, linear state error feedback control technique is applied to achieve chaos synchronization, and a linear control law is derived analytically to achieve synchronization of the chaotic fractional-order WINDMI system. Numerical simulations validate the main results of this work.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:859685

DOI: 10.1155/2010/859685

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