Fractional-order permanent magnet synchronous motor and its adaptive chaotic control

doi:10.1088/1674-1056/21/10/100506

Abstract In this paper we investigate the chaotic behaviors of the fractional-order permanent magnet synchronous motor (PMSM). The necessary condition for the existence of chaos in the fractional-order PMSM is deduced. And an adaptive-feedback controller is developed based on the stability theory for fractional systems. The presented control scheme, which contains only one single state variable, is simple and flexible, and it is suitable both for design and for implementation in practice. Simulation is carried out to verify that the obtained scheme is efficient and robust against external interference for controlling the fractional-order PMSM system.

Keywords: fractional-order permanent magnet synchronous motor adaptive chaotic control

Received: 25 February 2012
Revised: 18 May 2012
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Ac	(Low-dimensional chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61172023, 60871025, and 10862001), the Natural Science Foundation of Guangdong Province, China (Grant Nos. S2011010001018 and 8151009001000060), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20114420110003).

Corresponding Authors: Li Chun-Lai
E-mail: lichunlai33@126.com

Cite this article:

Li Chun-Lai (李春来), Yu Si-Min (禹思敏), Luo Xiao-Shu (罗晓曙) Fractional-order permanent magnet synchronous motor and its adaptive chaotic control 2012 Chin. Phys. B 21 100506

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Fractional-order permanent magnet synchronous motor and its adaptive chaotic control

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