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Design of an EP-based fuzzy sliding-mode control for a magnetic ball suspension system

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  • Li, Tzuu-Hseng S.
  • Kuo, Chao-Lin
  • Guo, Nai Ren

Abstract

In this paper, an evolutionary programming (EP) based fuzzy sliding-mode control (FSMC) is proposed for a magnetic ball suspension system. Firstly, we apply a singular perturbation method to examine a nonlinear model proposed for the magnetic ball suspension system. Secondly, we address design methods of sliding-mode control (SMC), FSMC, and dynamic FSMC. We utilize the EP to adjust scaling factors of the input and output variables for the FSMC. Global asymptotic stability of the EP-based FSMC is confirmed by the Lyapunov stability theory. Finally, simulations on the magnetic ball suspension system are given to show the tracking performances of the proposed control structure.

Suggested Citation

  • Li, Tzuu-Hseng S. & Kuo, Chao-Lin & Guo, Nai Ren, 2007. "Design of an EP-based fuzzy sliding-mode control for a magnetic ball suspension system," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1523-1531.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:5:p:1523-1531
    DOI: 10.1016/j.chaos.2006.03.012
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    References listed on IDEAS

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    1. Wang, Hongbin & Liu, Jiaqi, 2005. "Stability and bifurcation analysis in a magnetic bearing system with time delays," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 813-825.
    2. Zhang, W. & Yao, M.H. & Zhan, X.P., 2006. "Multi-pulse chaotic motions of a rotor-active magnetic bearing system with time-varying stiffness," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 175-186.
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    Cited by:

    1. Mourad Kchaou & Ahmed El-Hajjaji, 2017. "Resilient sliding mode control for discrete-time descriptor fuzzy systems with multiple time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 288-301, January.

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