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A novel track control for Lorenz system with single state feedback

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  • Gao, Richie

Abstract

In this paper, by using single state feedback, a novel tracking control method is proposed for Lorenz systems. Under the proposed control law, the chaotic behaviours of the Lorenz system can be suppressed, and the system states can track the pre-set values. Distinguishable from the literature, the tracking references are not needed to satisfy certain constraints. Therefore, the proposed tracking control method is more applicable. For the Lorenz system subjected to parameter perturbations and noises, a genetic algorithm based robust track control design is addressed so that the track errors are robust against the perturbations/noises. The effectiveness of the proposed algorithm is well demonstrated by intensive simulated studies.

Suggested Citation

  • Gao, Richie, 2019. "A novel track control for Lorenz system with single state feedback," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 236-244.
    • Handle: RePEc:eee:chsofr:v:122:y:2019:i:c:p:236-244
    DOI: 10.1016/j.chaos.2019.02.008
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    References listed on IDEAS

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    1. Shen, Zhiping & Li, Juntao, 2017. "Chaos control for a unified chaotic system using output feedback controllers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 132(C), pages 208-219.
    2. Runzi Luo & Haipeng Su & Yanhui Zeng, 2017. "Chaos Control and Synchronization via Switched Output Control Strategy," Complexity, Hindawi, vol. 2017, pages 1-11, January.
    3. Peng, Chao-Chung & Chen, Chieh-Li, 2008. "Robust chaotic control of Lorenz system by backstepping design," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 598-608.
    4. 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.
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    Cited by:

    1. 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.
    2. Fu, Shihui & Liu, Yuan & Ma, Huizhen & Du, Ying, 2020. "Control chaos to different stable states for a piecewise linear circuit system by a simple linear control," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    3. Mahmoudabadi, Parvin & Tavakoli-Kakhki, Mahsan, 2021. "Tracking control with disturbance rejection of nonlinear fractional order fuzzy systems: Modified repetitive control approach," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

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