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Adaptive fixed-time control for Lorenz systems

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Abstract

This paper focuses on the problem of fixed-time chaos suppression and stabilization of a class of Lorenz systems with uncertain parameters. Based on the fixed-time stability theory, adaptive control and backstepping algorithm, a novel adaptive practical fixed-time controller is proposed. It is shown that the presented control scheme can guarantee that all the signals of the closed-loop system are bounded and chaotic phenomenon is suppressed in the fixed time. Both the theoretical analysis and simulation results verify the effectiveness of the proposed control strategy.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (61773072, 51939001, 61976033).

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Authors and Affiliations

  1. College of Mathematical Sciences, Bohai University, Jinzhou, 121000, Liaoning, People’s Republic of China

    Huanqing Wang, Hanxue Yue & Siwen Liu

  2. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, People’s Republic of China

    Tieshan Li

  3. School of Navigation College, Dalian Maritime University, Dalian, 116026, People’s Republic of China

    Tieshan Li

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  1. Huanqing Wang
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  2. Hanxue Yue
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  3. Siwen Liu
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Correspondence to Huanqing Wang.

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Wang, H., Yue, H., Liu, S. et al. Adaptive fixed-time control for Lorenz systems. Nonlinear Dyn 102, 2617–2625 (2020). https://doi.org/10.1007/s11071-020-06061-z

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