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梯度提升最小二乘支持向量回归的压电执行器磁滞特性建模

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针对用于精密运动定位的压电执行器具有磁滞效应的问题,本文提出一种基于梯度提升最小二乘支持向量回归(GB-LSSVR)的建模方法.首先,通过引入磁滞算子构造拓展的输入空间,将磁滞的多值映射转换为一对一映射.然后,建立基于GB-LSSVR的磁滞模型,设计可保证收敛粒子群算法(GCPSO)对GB-LSSVR模型参数进行优化.最后,将所提出方法用于实际预测一个压电执行器的位移.结果表明,该方法相对于经典的最小二乘支持向量回归(LSSVR)和截断最小二乘支持向量回归(T-LSSVR)算法,能得到更加准确的结果.
Hysteresis characteristics modeling of piezoelectric actuator by gradient boosting least-squares support vector regression
Concerning the problem of hysteresis effect related to piezoelectric actuators used for precise motion posi-tioning,a modeling method is proposed based on the gradient boosting least-squares support vector regression(GB-LSSVR).Firstly,an expanded input space is constructed by introducing a hysteretic operator,such that the multi-valued mapping of hysteresis is transformed into a one-to-one mapping.Then the hysteresis model is established based on the GB-LSSVR,of which the parameters are optimized by the guaranteed convergence particle swarm optimization(GCPSO)algorithm.Finally,the proposed method is applied to practically predict the displacement of a piezoelectric actuator.The re-sults show that the proposed method could obtain more accurate result compared to the classical algorithms of least-squares support vector regression and truncated least-squares support vector regression.

piezoelectric actuatorhysteresis effecthysteretic operatorleast-squares support vector machineguaran-teed convergence particle swarm optimizationgradient boosting

王建成、李强亚、刘涛、谭永红、阎帅

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大连理工大学控制科学与工程学院,辽宁大连 116024

上海师范大学信息与机电工程学院,上海 201814

压电执行器 磁滞效应 磁滞算子 最小二乘支持向量机 可保证收敛粒子群算法 梯度提升

国家自然科学基金项目国家自然科学基金项目教育部重点基地平台科研专题项目

6232780762361136585DUT21LAB113

2024

控制理论与应用
华南理工大学 中国科学院数学与系统科学研究院

控制理论与应用

CSTPCD北大核心
影响因子:1.076
ISSN:1000-8152
年,卷(期):2024.41(9)