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Controlling chaos in the permanent magnet synchronous motor

Author

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  • Zribi, Mohamed
  • Oteafy, Ahmed
  • Smaoui, Nejib

Abstract

The Permanent Magnet Synchronous Motor (PMSM) is known to exhibit chaotic behavior under certain conditions. This paper proposes to use an instantaneous Lyapunov exponent control algorithm to control the PMSM. One of the objectives of the control approach is to bring order to the PMSM and to drive it to any user-defined desired state. Simulation results under different operating conditions indicate that the proposed control scheme works well.

Suggested Citation

  • Zribi, Mohamed & Oteafy, Ahmed & Smaoui, Nejib, 2009. "Controlling chaos in the permanent magnet synchronous motor," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1266-1276.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:3:p:1266-1276
    DOI: 10.1016/j.chaos.2008.05.019
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    References listed on IDEAS

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    1. Wang, Zheng & Chau, K.T., 2008. "Anti-control of chaos of a permanent magnet DC motor system for vibratory compactors," Chaos, Solitons & Fractals, Elsevier, vol. 36(3), pages 694-708.
    2. Ge, Zheng-Ming & Chang, Ching-Ming & Chen, Yen-Sheng, 2006. "Anti-control of chaos of single time scale brushless dc motors and chaos synchronization of different order systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1298-1315.
    3. Ge, Z.-M. & Cheng, J.-W., 2005. "Chaos synchronization and parameter identification of three time scales brushless DC motor system," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 597-616.
    4. Ge, Zheng-Ming & Lin, Guo-Hua, 2007. "The complete, lag and anticipated synchronization of a BLDCM chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 740-764.
    5. Alvarez-Llamoza, O. & Cosenza, M.G. & Ponce, G.A., 2008. "Critical behavior of the Lyapunov exponent in type-III intermittency," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 150-156.
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    Cited by:

    1. Qijia Yao & Hadi Jahanshahi & Stelios Bekiros & Jinping Liu & Abdullah A. Al-Barakati, 2023. "Fixed-Time Adaptive Chaotic Control for Permanent Magnet Synchronous Motor Subject to Unknown Parameters and Perturbations," Mathematics, MDPI, vol. 11(14), pages 1-14, July.
    2. J. Humberto Pérez-Cruz, 2018. "Stabilization and Synchronization of Uncertain Zhang System by Means of Robust Adaptive Control," Complexity, Hindawi, vol. 2018, pages 1-19, December.
    3. Kim, Seong-S. & Choi, Han Ho, 2014. "Adaptive synchronization method for chaotic permanent magnet synchronous motor," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 101(C), pages 31-42.
    4. Ranjbar N., A. & Kholerdi, H.A., 2016. "Chaotification and fuzzy PI control of three-phase induction machine using synchronization approach," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 443-451.
    5. Cuimei Jiang & Shutang Liu, 2017. "Synchronization and Antisynchronization of -Coupled Complex Permanent Magnet Synchronous Motor Systems with Ring Connection," Complexity, Hindawi, vol. 2017, pages 1-15, January.

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