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Synchronization of chaotic fractional-order WINDMI systems via linear state error feedback control. (English) Zbl 1205.93054
Summary: 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.

MSC:
93B52 Feedback control
93C15 Control/observation systems governed by ordinary differential equations
34K37 Functional-differential equations with fractional derivatives
34H10 Chaos control for problems involving ordinary differential equations
Software:
FODE
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