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Anti-control of chaos of a permanent magnet DC motor system for vibratory compactors

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  • Wang, Zheng
  • Chau, K.T.

Abstract

The purpose of this paper is to employ time-delay feedback to anti-control a permanent magnet DC (PMDC) motor system for vibratory compactors, and hence implement a new electrically chaotic compactor. Firstly, the dynamic model of the anti-controlled PMDC motor system and the proposed electrically chaotic compactor are formulated. Secondly, a nonlinear map is derived to analyze the chaotic criterion of the anti-controlled PMDC motor system. Then, numerical computations are used to investigate the dynamics of the proposed electrically chaotic compactor. Finally, a series of simulations are conducted to verify that the proposed electrically chaotic compactor not only offers better compaction effects than the conventional one, but also provides higher flexibility than the mechanically chaotic compactor.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:3:p:694-708
    DOI: 10.1016/j.chaos.2006.06.105
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Ge, Zheng-Ming & Lee, Ching-I, 2005. "Control, anticontrol and synchronization of chaos for an autonomous rotational machine system with time-delay," Chaos, Solitons & Fractals, Elsevier, vol. 23(5), pages 1855-1864.
    4. El-Gohary, Awad, 2005. "Optimal control of rigid body motion with the help of rotors using stereographic coordinates," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1229-1244.
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    Cited by:

    1. Asiain, Erick & Garrido, Rubén, 2021. "Anti-Chaos control of a servo system using nonlinear model reference adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    2. Tsapla Fotsa, R. & Woafo, P., 2016. "Chaos in a new bistable rotating electromechanical system," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 48-57.
    3. 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.
    4. 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.

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