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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10506-010506.doi: 10.1088/1674-1056/19/1/010506

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

张小洪¹, 杨丹¹, 王时龙², 李东³

(1)College of Software Engineering, Chongqing University, Chongqing 400030, China; (2)State Key Laboratories of Mechanical Transmission, Chongqing University, Chongqing 400030, China; (3)State Key Laboratories of Mechanical Transmission, Chongqing University, Chongqing 400030, China;College of Mathematics and Physics Science, Chongqing University, Chongqing 400030, China

收稿日期:2008-11-04 修回日期:2009-08-03 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
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).

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

Li Dong(李东)^a)b)†, Wang Shi-Long(王时龙)^a), Zhang Xiao-Hong(张小洪)^c), and Yang Dan(杨丹)^c)

^a State Key Laboratories of Mechanical Transmission, Chongqing University, Chongqing 400030, China; ^b College of Mathematics and Physics Science, Chongqing University, Chongqing 400030, China; ^c College of Software Engineering, Chongqing University, Chongqing 400030, China

Received:2008-11-04 Revised:2009-08-03 Online:2010-01-15 Published:2010-01-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: permanent magnet synchronous motors, impulsive control, uncertainty, linear matrix inequality

中图分类号: (Electric motors)

84.50.+d

02.10.Yn (Matrix theory) 02.30.Yy (Control theory) 05.45.Gg (Control of chaos, applications of chaos)

李东, 王时龙, 张小洪, 杨丹. Impulsive control for permanent magnet synchronous motors with uncertainties: LMI approach[J]. 中国物理B, 2010, 19(1): 10506-010506.

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[J]. Chin. Phys. B, 2010, 19(1): 10506-010506.

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

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

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