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Received: 2004-10-18

Revision Accepted: 2005-01-10

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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.7 P.728~732

10.1631/jzus.2005.A0728


Passive control of Permanent Magnet Synchronous Motor chaotic systems


Author(s):  QI Dong-lian, WANG Jia-jun, ZHAO Guang-zhou

Affiliation(s):  College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   ldq0924@china.com.cn

Key Words:  Permanent Magnet Synchronous Motor, Passive system, Convergence condition


QI Dong-lian, WANG Jia-jun, ZHAO Guang-zhou. Passive control of Permanent Magnet Synchronous Motor chaotic systems[J]. Journal of Zhejiang University Science A, 2005, 6(7): 728~732.

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%DOI 10.1631/jzus.2005.A0728

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T1 - Passive control of Permanent Magnet Synchronous Motor chaotic systems
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A1 - WANG Jia-jun
A1 - ZHAO Guang-zhou
J0 - Journal of Zhejiang University Science A
VL - 6
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A0728


Abstract: 
permanent Magnet Synchronous Motor model can exhibit a variety of chaotic phenomena under some choices of system parameters and external input. Based on the property of passive system, the essential conditions were studied, by which permanent Magnet Synchronous Motor chaotic system could be equivalent to passive system. Using Lyapunov stability theory, the convergence condition deciding the system’s characters was discussed. In the convergence condition area, the equivalent passive system could be globally asymptotically stabilized by smooth state feedback.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Byrnes, C.I., Isidori, A., 1991. Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear system. IEEE Trans Automat Contr, 36(11):1228-1240.

[2] Chen, G., Chen, G.R., 1999. Feedback control of unknown chaotic dynamical systems based on time-series data. IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 46(5):640-644.

[3] Qi, D.L., Zhao, G.Z., 2003. Control uncertain continuous-time chaotic dynamical system. Journal of Zhejiang University SCIENCE, 4(4):437-440.

[4] Pecora, L.M., Carroll, T.L., 1991. Driving systems with chaotic signals. Physical Review A, 44(4):2375-2383.

[5] Wen, Y., 1999. Passive equivalence of chaos in Lorenz system. IEEE Transaction on Circuits and Systems-I: Fundamental Theory and Applications, 46(7):876-878.

[6] Zhang, B., et al., 2002. Mathematical model of permanent-magnet synchronous motors and its fuzzy modeling. Control Theory and Application, 19(6):841-844.

[7] Zhao, G.Z., Qi, D.L., 2001. Chaotic control theory and applications. Transactions of China Electrotechnical Society, 16(5):77-82 (in Chinese).

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souhail@wahid<souhailwahid54@yahoo.fr>

2013-07-16 20:16:46

relation betwen chaos and non linearitie

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