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Prescribed Adaptive Backstepping Control of Nonlinear Systems Preceded by Hysteresis in Piezoelectric Actuators

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Abstract

To address hysteresis in control systems, it is necessary to fuse the hysteresis model with existing control methods. However, the input signal implicitly involved in the hysteresis model can lead to obstacles in controller design. In this article, a novel hysteresis model with bounded auxiliary term is expressed in explicit form. The proposed model exhibits excellent modeling performance with simple structure. Then, the prescribed adaptive backstepping controller directly fused with the proposed model is adopted to realize stable and accurate control of system. Additionally, the tracking error within prescribed area is guaranteed. Experimental results are shown to validate the potential of the proposed method.

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Acknowledgements

This work was supported in part by the Natural Science Foundation of Zhejiang Province (Grant No: LY22F030003), the Program for Changjiang Scholars and Innovative Research Team in University (Grant No: IRT13097), and the Key Research and Development Program of Zhejiang Science and Technology Department (Grant No: 2021C01071).

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  1. College of Mechanical Engineering and Automation, Zhejiang Sci-Tech University, Hangzhou, 310018, China

    Liangcai Su & Xinlong Zhao

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Su, L., Zhao, X. Prescribed Adaptive Backstepping Control of Nonlinear Systems Preceded by Hysteresis in Piezoelectric Actuators. Int. J. Precis. Eng. Manuf. 23, 733–740 (2022). https://doi.org/10.1007/s12541-022-00662-x

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