Nonlinear state-observer control for projective synchronization of a fractional-order hyperchaotic system

2012 ◽  
Vol 69 (4) ◽  
pp. 1929-1939 ◽  
Author(s):  
Ling Liu ◽  
Deliang Liang ◽  
Chongxin Liu
Keyword(s):  
Fractional Order ◽  
State Observer ◽  
Projective Synchronization ◽  
Hyperchaotic System ◽  
Nonlinear State

NONLINEAR STATE OBSERVER DESIGN FOR PROJECTIVE SYNCHRONIZATION OF FRACTIONAL-ORDER PERMANENT MAGNET SYNCHRONOUS MOTOR

2012 ◽  
Vol 26 (30) ◽  
pp. 1250166 ◽  
Author(s):  
LING LIU ◽  
DELIANG LIANG ◽  
CHONGXIN LIU ◽  
QUN ZHANG
Keyword(s):  
Permanent Magnet ◽  
Fractional Order ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
State Observer ◽  
Observer Design ◽  
Projective Synchronization ◽  
Full State ◽  
The Mathematical Model ◽  
Nonlinear State

In this paper, a nonlinear state observer control strategy is developed for projective self-synchronization of the fractional-order chaotic attractors of a permanent magnet synchronous motor (PMSM) system. The mathematical model of PMSM system in a smooth fractional-order form is derived by using the fractional derivative theory. A state observer control design can achieve the full-state projective synchronization of the fractional-order PMSM (FO-PMSM) system without the limitation of partial-linearity. Global stability and asymptotic synchronization between the outputs of drive system and response system can be obtained. Simulation results are provided to demonstrate the effectiveness of the approach.

PROJECTIVE SYNCHRONIZATION OF FRACTIONAL ORDER CHAOTIC SYSTEMS BASED ON STATE OBSERVER

2012 ◽  
Vol 26 (30) ◽  
pp. 1250176 ◽  
Author(s):  
XING-YUAN WANG ◽  
ZUN-WEN HU
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
State Observer ◽  
Projective Synchronization ◽  
Pole Placement ◽  
Fractional Order Systems ◽  
Chen System ◽  
The Stability ◽  
Synchronization Scheme ◽  
Placement Technique

Based on the stability theory of fractional order systems and the pole placement technique, this paper designs a synchronization scheme with the state observer method and achieves the projective synchronization of a class of fractional order chaotic systems. Taking an example for the fractional order unified system by using this observer controller, and numerical simulations of fractional order Lorenz-like system, fractional order Lü system and fractional order Chen system are provided to demonstrate the effectiveness of the proposed scheme.

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