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On disturbance rejection proportional–integral–differential control with model-free adaptation

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Abstract

In this paper, an adaptive disturbance-rejection proportional–integral–differential (PID) control method is proposed for a class of nonlinear systems. First, PID-type criterion is introduced in a model-free adaptive control (MFAC) framework, which gives an optimal control interpretation for PID controller. Then, the design of adaptive disturbance rejection PID is proposed based on this new interpretation to realize controller gain auto-tuning. Due to the ingenious integration of active disturbance rejection and adaptive mechanism, the proposed adaptive disturbance rejection PID control scheme exhibits better control performance than MFAC case. Furthermore, the boundedness of controller gain, the convergence of tracking error and the bounded-input–bounded-output stability are proved for the proposed control system. Finally, the effectiveness of the proposed method is verified by numerical simulation.

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Authors and Affiliations

  1. School of Information Science and Engineering, Huaqiao University, Xiamen, 100190, Fujian, China

    Zhuo-Yun Nie, Gao-Ming Li, Lai-Cheng Yan & Ji-Liang Luo

  2. Institute of Artificial Intelligence and Future Networks, Beijing Normal University, Zhuhai, 519087, Guangdong, China

    Qing-Guo Wang

  3. Guangdong Key Lab of AI and Multi-Modal Data Processing, BNU-HKBU United International College, Zhuhai, 519087, Guangdong, China

    Qing-Guo Wang

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  1. Zhuo-Yun Nie
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  2. Gao-Ming Li
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  5. Ji-Liang Luo
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Correspondence to Zhuo-Yun Nie.

Additional information

This work was supported in part by Huaqiao University (Z14Y0002), in part by the Natural Science Foundation of Fujian Province (2019J01053). Qing-Guo Wang acknowledges the financial support of BNU Talent seed fund, UIC Start-up Fund (R72021115), Guangdong Key Lab of AI and Multi-modal Data Processing (2020KSYS007), the Guangdong Provincial Key Laboratory of Interdisciplinary Research and Application for Data Science (2022B1212010006), Guangdong Higher Education Upgrading Plan 2021–2025 (R0400001-22, R0400025-21), UIC, China, which partially funded his research on this work.

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Nie, ZY., Li, GM., Yan, LC. et al. On disturbance rejection proportional–integral–differential control with model-free adaptation. Control Theory Technol. 21, 34–45 (2023). https://doi.org/10.1007/s11768-022-00125-8

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  • DOI: https://doi.org/10.1007/s11768-022-00125-8

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