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基于漏斗函数的带干扰观测器的液压系统自适应预定性能输出反馈控制。

Funnel function-based adaptive prescribed performance output feedback control of hydraulic systems with disturbance observers.

机构信息

School of Mechanical Engineering, Anhui University of Technology, Ma'anshan 243002, China; AnHui Province Key Laboratory of Special Heavy Load Robot, Anhui University of Technology, Maanshan, 243002, China.

School of Mechanical Engineering, Anhui University of Technology, Ma'anshan 243002, China.

出版信息

ISA Trans. 2023 May;136:701-714. doi: 10.1016/j.isatra.2022.11.018. Epub 2022 Nov 26.

Abstract

This study structures an adaptive prescribed performance output feedback controller for hydraulic systems with large uncertainties including disturbances and parametric uncertainties. Adaptive control is structured to approximate real system parameters. Based on estimated parameters, a nonlinear disturbance observer for largely mismatched disturbance and an extended state observer for matched disturbance and unmeasurable system states are integrated. Then, to guarantee prescribed tracking performance, an output feedback controller is proposed with uncertainty compensation based on the funnel function using the backstepping method. In addition, to avoid the occurrence of complex analytical calculations and "complexity explosion" in the backstepping method, a differentiator is adopted. Then, the Lyapunov method is utilized to prove the stability of the closed-loop system with estimation errors. Finally, experimental results were obtained to demonstrate that the proposed controller is valid.

摘要

本研究为具有大不确定性的液压系统(包括干扰和参数不确定性)构建了一种自适应规定性能输出反馈控制器。自适应控制旨在逼近实际系统参数。基于估计的参数,集成了用于大不匹配干扰的非线性干扰观测器和用于匹配干扰和不可测量系统状态的扩展状态观测器。然后,为了保证规定的跟踪性能,基于使用反推法的漏斗函数,提出了一种具有不确定性补偿的输出反馈控制器。此外,为了避免反推法中复杂的分析计算和“复杂性爆炸”,采用了微分器。然后,利用 Lyapunov 方法证明了具有估计误差的闭环系统的稳定性。最后,通过实验结果验证了所提出的控制器的有效性。

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