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Observer-based robust adaptive variable universe fuzzy control for chaotic system

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  • Wang, Jiang
  • Qiao, Guo-Dong
  • Deng, Bin

Abstract

A novel observer-base output feedback variable universe adaptive fuzzy controller is investigated in this paper. The contraction and expansion factor of variable universe fuzzy controller is on-line tuned and the accuracy of the system is improved. With the state-observer, a novel type of adaptive output feedback control is realized. A supervisory controller is used to force the states to be within the constraint sets. In order to attenuate the effect of both external disturbance and variable parameters on the tracking error and guarantee the states to be within the constraint sets, a robust controller is appended to the variable universe fuzzy controller. Thus, the robustness of system is improved. By Lyapunov method, the observer-controller system is shown to be stable. The overall adaptive control algorithm can guarantee the global stability of the resulting closed-loop system in the sense that all signals involved are uniformly bounded. In the paper, we apply the proposed control algorithms to control the Duffing chaotic system and Chua’s chaotic circuit. Simulation results confirm that the control algorithm is feasible for practical application.

Suggested Citation

  • Wang, Jiang & Qiao, Guo-Dong & Deng, Bin, 2005. "Observer-based robust adaptive variable universe fuzzy control for chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1013-1032.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:3:p:1013-1032
    DOI: 10.1016/j.chaos.2004.06.020
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    Cited by:

    1. Lien, Chang-Hua, 2007. "H∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 428-436.
    2. Chang, Jen-Fuh & Hung, Meei-Ling & Yang, Yi-Sung & Liao, Teh-Lu & Yan, Jun-Juh, 2008. "Controlling chaos of the family of Rössler systems using sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 609-622.
    3. Falahpoor, M. & Ataei, M. & Kiyoumarsi, A., 2009. "A chattering-free sliding mode control design for uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1755-1765.
    4. Lin, Chih-Min & Chen, Chiu-Hsiung, 2008. "CMAC-based supervisory control for nonlinear chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 40-58.
    5. Chen, Chang-Kuo & Lai, Tsung-Wen & Yan, Jun-Juh & Liao, Teh-Lu, 2009. "Synchronization of two chaotic systems: Dynamic compensator approach," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1055-1063.
    6. Sun, Yeong-Jeu, 2008. "A novel methodology for uncertain nonlinear tracking control systems: Exponential convergence manifold approach," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1419-1424.
    7. Lien, Chang-Hua & Cheng, Wen-Chin & Tsai, Che-Hung & Yu, Ker-Wei, 2007. "Non-fragile observer-based controls of linear system via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1530-1537.
    8. Li, Guo-Hui & Zhou, Shi-Ping, 2006. "An observer-based anti-synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 495-498.
    9. Sun, Yeong-Jeu, 2009. "Robust stability of uncertain T–S fuzzy time-varying systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1588-1594.

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