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

الملخص EN

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.