Observer Design Based on Fractional-order Model of Permanent Magnet Synchronous Motor

AbstractIn this paper we investigate the control of three-dimensional non-autonomous fractional-order model of a permanent magnet synchronous motor (PMSM) and PI controlled fractional order Induction motor via recursive extended back stepping control technique. A robust generalized weighted controllers are derived to suppress the chaotic oscillations of the fractional order model. As the direct Lyapunov stability analysis of the controller is difficult for a fractional order first derivative, we have derived a new lemma to analyze the stability of the system. Numerical simulations of the proposed chaos suppression methodology are given to prove the analytical results.

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Minor fault diagnosis based on fractional-order model of permanent magnet synchronous motor

IECON 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society ◽

10.1109/iecon.2017.8217418 ◽

2017 ◽

Author(s):

Wei Yu ◽

Cheng-Lin Wen ◽

Yong Chen

Keyword(s):

Fault Diagnosis ◽

Permanent Magnet ◽

Fractional Order ◽

Permanent Magnet Synchronous Motor ◽

Synchronous Motor ◽

Order Model ◽

Fractional Order Model

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

International Journal of Modern Physics B ◽

10.1142/s0217979212501664 ◽

2012 ◽

Vol 26 (30) ◽

pp. 1250166 ◽

Cited By ~ 6

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.

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Chaos Suppression in Fractional order Permanent Magnet Synchronous Generator in Wind Turbine Systems

Nonlinear Engineering ◽

10.1515/nleng-2016-0059 ◽

2017 ◽

Vol 6 (2) ◽

Cited By ~ 4

Author(s):

Karthikeyan Rajagopal ◽

Anitha Karthikeyan ◽

Prakash Duraisamy

Keyword(s):

Permanent Magnet ◽

Fractional Order ◽

Dynamic Properties ◽

Synchronous Generator ◽

Adaptive Controller ◽

Control Technique ◽

Order Model ◽

Permanent Magnet Synchronous Generator ◽

Chaos Suppression ◽

Fractional Order Model

AbstractIn this paper we investigate the control of three-dimensional non-autonomous fractional-order uncertain model of a permanent magnet synchronous generator (PMSG) via a adaptive control technique. We derive a dimensionless fractional order model of the PMSM from the integer order presented in the literatures. Various dynamic properties of the fractional order model like eigen values, Lyapunov exponents, bifurcation and bicoherence are investigated. The system chaotic behavior for various orders of fractional calculus are presented. An adaptive controller is derived to suppress the chaotic oscillations of the fractional order model. As the direct Lyapunov stability analysis of the robust controller is difficult for a fractional order first derivative, we have derived a new lemma to analyze the stability of the system. Numerical simulations of the proposed chaos suppression methodology are given to prove the analytical results derived through which we show that for the derived adaptive controller and the parameter update law, the origin of the system for any bounded initial conditions is asymptotically stable.

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