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Chaos control of Lorenz systems using adaptive controller with input saturation

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  • Yau, Her-Terng
  • Chen, Chieh-Li

Abstract

This paper presents an adaptive sliding mode control scheme for Lorenz chaos subject to saturating input. The state of Lorenz system can be asymptotically driven to an equilibrium point in spite of the presence of input saturation and external disturbance using the proposed control scheme. Numerical simulations demonstrate the effectiveness of its application to chaotic system control. It also shows that the settling time will be decreased, if the saturation bound of control input is relaxed.

Suggested Citation

  • Yau, Her-Terng & Chen, Chieh-Li, 2007. "Chaos control of Lorenz systems using adaptive controller with input saturation," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1567-1574.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:5:p:1567-1574
    DOI: 10.1016/j.chaos.2006.04.048
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    Cited by:

    1. Gao, Richie, 2019. "A novel track control for Lorenz system with single state feedback," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 236-244.
    2. Dali, Ali & Abdelmalek, Samir & Bakdi, Azzeddine & Bettayeb, Maamar, 2023. "A class of PSO-tuned controllers in Lorenz chaotic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 430-449.
    3. Belokolos, E.D. & Kharchenko, V.O. & Kharchenko, D.O., 2009. "Chaos in a generalized Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2595-2605.
    4. 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.
    5. Haghighatdar, F. & Ataei, M., 2009. "Adaptive set-point tracking of the Lorenz chaotic system using non-linear feedback," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1938-1945.
    6. Jin, Maolin & Chang, Pyung Hun, 2009. "Simple robust technique using time delay estimation for the control and synchronization of Lorenz systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2672-2680.

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