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Design of a five-dimensional fractional-order chaotic system and its sliding mode control

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Abstract

The movement presented by chaos is violent oscillation, making the system unstable, which often is harmful in engineering. Therefore, how to suppress chaotic state quickly is a research hotspot in the field of control. Compared with integer-order system, fractional-order chaotic system has more complex dynamic characteristics, and it is often difficult to control the dynamic system into a stable periodic motion. In this paper, a new sliding mode controller was proposed after newly constructing a fractional-order chaotic system, to make the chaotic system enter a predetermined motion state quickly and maintain stability. Firstly, a new five-dimensional fractional-order chaotic system was constructed, analyzing its dynamic characteristics through the 0–1 test. Then, a sliding mode controller was designed, with proved stability to regulate the motion state of chaotic system. Finally, the circuit realization and control process simulation of the five-dimensional fractional-order chaotic system were carried out. The experimental results show that the proposed sliding mode controller has simple structure, but fast response and excellent control effect.

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Acknowledgements

This work was supported by the Science and Technology Program of Hunan Province (No. 2019TP1014), the Educational Science Planning Key Project of Hunan Province (No. XJK19AGD007), the Normal University Teaching Reform Research Project of Hunan Province (No. [2019]291-630) and the Scientific Research Innovation Team of Hunan Institute of Science and Technology (No. 2019-TD-10).

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Authors and Affiliations

  1. School of Information Science and Engineering, Hunan Institute of Science and Technology, Yueyang, 414006, Hunan, China

    Yaonan Tong, Zhiqi Cao & Haitao Yang

  2. School of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang, 414006, Hunan, China

    Chunlai Li

  3. School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan, 411201, Hunan, China

    Wenxin Yu

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  1. Yaonan Tong
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  2. Zhiqi Cao
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Correspondence to Yaonan Tong.

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Tong, Y., Cao, Z., Yang, H. et al. Design of a five-dimensional fractional-order chaotic system and its sliding mode control. Indian J Phys 96, 855–867 (2022). https://doi.org/10.1007/s12648-021-02181-3

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  • DOI: https://doi.org/10.1007/s12648-021-02181-3

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