Synchronization of Chaotic Fractional-Order WINDMI Systems via Linear State Error Feedback Control
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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2010-01-01
|
| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2010/859685 |
| 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. |
|---|---|
| ISSN: | 1024-123X 1563-5147 |