Copyright © 2010 Baogui Xin et al. 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.
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.