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增益调节下具随机干扰压电致动器的模型参考自适应控制

彭昊 陈学松

广东工业大学学报2025,Vol.42Issue(4):88-95,8.
广东工业大学学报2025,Vol.42Issue(4):88-95,8.DOI:10.12052/gdutxb.240171

增益调节下具随机干扰压电致动器的模型参考自适应控制

Model Reference Adaptive Control of Piezoelectric Actuators with Stochastic Disturbances under Gain Adjustment

彭昊 1陈学松1

作者信息

  • 1. 广东工业大学 数学与统计学院,广东 广州 510520
  • 折叠

摘要

Abstract

Piezoelectric actuators have the characteristic of high displacement resolution and are widely used as actuators in precision positioning systems.However,due to the effects of hysteresis nonlinearity,creep,and stochastic disturbance on piezoelectric actuators,the stability and positioning accuracy of the output are difficult to achieve.In this research,a new model reference adaptive control method is proposed for controlling the output displacement of piezoelectric actuators with external and stochastic disturbances.This method establishes a stochastic nonlinear closed-loop control system with computational adaptive gain adjustment by introducing Lyapunov function and adaptive update law.The proposed adaptive structure is innovative in terms of the probability boundedness of the output of the piezoelectric actuator and the mean square convergence of the tracking error between the output and the reference model output.In addition,the proposed method only requires an understanding of the boundedness of uncertain disturbances and stochastic noise intensity.The simulation results demonstrate the effectiveness and superiority of the designed adaptive gain regulator.

关键词

压电致动器/随机干扰/模型参考自适应控制/增益调节/依概率有界

Key words

piezoelectric actuator/stochastic disturbance/model reference adaptive control/gain adjustment/bounded in probability

分类

信息技术与安全科学

引用本文复制引用

彭昊,陈学松..增益调节下具随机干扰压电致动器的模型参考自适应控制[J].广东工业大学学报,2025,42(4):88-95,8.

基金项目

广东省自然科学基金资助面上项目(2018A030313505) (2018A030313505)

广东工业大学学报

1007-7162

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