Impulsive control for permanent magnet synchronous motors with uncertainties: LMI approach

doi:10.1088/1674-1056/19/1/010506

Abstract A permanent magnet synchronous motor (PMSM) may have chaotic behaviours under certain working conditions, especially for uncertain values of parameters, which threatens the security and stability of motor-driven operation. Hence, it is important to study methods of controlling or suppressing chaos in PMSMs. In this paper, the stability of a PMSM with parameter uncertainties is investigated. After uncertain matrices which represent the variable system parameters are formulated through matrix analysis, a novel asymptotical stability criterion is established by employing the method of Lyapunov functions and linear matrix inequality technology. An example is also given to illustrate the effectiveness of our results.

Keywords: permanent magnet synchronous motors impulsive control uncertainty linear matrix inequality

Received: 04 November 2008
Revised: 03 August 2009
Accepted manuscript online:

PACS:	84.50.+d	(Electric motors)
	02.10.Yn	(Matrix theory)
	02.30.Yy	(Control theory)
	05.45.Gg	(Control of chaos, applications of chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 50775226), the Chongqing Natural Science Foundation (Grant No. CSTC, 2008BB3308) and the Innovation Training Foundation of Chongqing University (Grant No. CDCX004).

Cite this article:

Li Dong(李东), Wang Shi-Long(王时龙), Zhang Xiao-Hong(张小洪), and Yang Dan(杨丹) Impulsive control for permanent magnet synchronous motors with uncertainties: LMI approach 2010 Chin. Phys. B 19 010506

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Impulsive control for permanent magnet synchronous motors with uncertainties: LMI approach

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