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Fractional-Order MFAC with Application to DC Motor Speed Control System

Author

Listed:
  • Haizhen Wang

    (School of Mechanical and Electrical Engineering, Xinyu University, Xinyu 338004, China)

  • Huihua Jian

    (School of Mechanical and Electrical Engineering, Xinyu University, Xinyu 338004, China)

  • Jianhua Huang

    (Jiangxi Provincial Key Laboratory of Power Batteries and Energy Storage Materials, Xinyu University, Xinyu 338004, China
    Hunan Engineering Laboratory for Control and Optimization of PV Systems, Hunan Vocational Institute of Technology, Xiangtan 411104, China)

  • Yonghong Lan

    (School of Automation and Electronic Information, Xiangtan University, Xiangtan 411105, China)

Abstract

Model-free adaptive control (MFAC) can carry out various tasks using only I/O data, providing advantages such as lower operational costs, higher scalability and easier implementation. However, the robustness of MFAC remains an open problem. In this paper, a robust fractional-order model-free adaptive control (RFOMFAC) scheme is proposed to address the robust tracking control issue for a class of uncertain discrete-time nonlinear systems with bounded measurement disturbance. First, we use a fractional-order dynamic data model relating the relationship between the output signal and the fractional-order input variables based on the compact form dynamic linearization. Then, the pseudo-partial derivative (PPD) is obtained using a higher-order estimation algorithm that includes more information about past input and output data. With the introduction of a reference equation, a fractional-order model-free adaptive control (FOMFAC) law is then proposed. Consequently, using a higher-order PPD-based FOMFAC law can improve the control performance. Furthermore, a modified RFOMFAC algorithm with decreasing gain is constructed. Theoretical analysis indicates that the proposed algorithm can effectively attenuate measurement disturbances. Finally, simulation results demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Haizhen Wang & Huihua Jian & Jianhua Huang & Yonghong Lan, 2025. "Fractional-Order MFAC with Application to DC Motor Speed Control System," Mathematics, MDPI, vol. 13(4), pages 1-13, February.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:4:p:610-:d:1590486
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    References listed on IDEAS

    as
    1. Zhuo-Xuan Lv & Jian Liao, 2024. "Fractional-Order Model-Free Adaptive Control with High Order Estimation," Mathematics, MDPI, vol. 12(5), pages 1-13, March.
    2. Weizhao Song & Jian Feng & Jinze Liu, 2022. "Distributed MIMO MFAC-based consensus tracking strategy for multiagent systems with fixed and switching topologies," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(9), pages 1888-1905, July.
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