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| On disturbance rejection proportional–integral–differential control with model-free adaptation |
| Zhuo-YunNie1,Gao-MingLi1,Lai-ChengYan1,Qing-GuoWang2,3,Ji-LiangLuo1 |
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| (1 School of Information Science and Engineering, Huaqiao University, Xiamen 100190, Fujian, China;2 Institute of Artificial Intelligence and Future Networks, Beijing Normal University, Zhuhai 519087, Guangdong, China
3 Guangdong Key Lab of AI and Multi-Modal Data Processing, BNU-HKBU United International College, Zhuhai 519087, Guangdong, China) |
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| 摘要: |
| 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. |
| 关键词: Disturbance rejection PID · Data-driven control · Error-driven model · Model-free adaptive control |
| DOI：https://doi.org/10.1007/s11768-022-00125-8 |
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| 基金项目: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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| On disturbance rejection proportional–integral–differential control with model-free adaptation |
| Zhuo-Yun Nie1,Gao-Ming Li1,Lai-Cheng Yan1,Qing-Guo Wang2,3,Ji-Liang Luo1 |
| (1 School of Information Science and Engineering, Huaqiao University, Xiamen 100190, Fujian, China;2 Institute of Artificial Intelligence and Future Networks, Beijing Normal University, Zhuhai 519087, Guangdong, China
3 Guangdong Key Lab of AI and Multi-Modal Data Processing, BNU-HKBU United International College, Zhuhai 519087, Guangdong, China) |
| 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. |
| Key words: Disturbance rejection PID · Data-driven control · Error-driven model · Model-free adaptive control |
