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

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....

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Published in控制理论与应用 Vol. 41; no. 9; pp. 1692 - 1697
Main Authors 王建成, 李强亚, 刘涛, 谭永红, 阎帅
Format Journal Article
LanguageChinese
Published 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 01.09.2024
Subjects
guaran-teed convergence particle swarm optimization
gradient boosting
磁滞算子
压电执行器
磁滞效应
最小二乘支持向量机
hysteretic operator
hysteresis effect
梯度提升
least-squares support vector machine
可保证收敛粒子群算法
piezoelectric actuator
Online AccessGet full text
ISSN1000-8152
DOI10.7641/CTA.2023.20713

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Abstract 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.
AbstractList 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.
Abstract_FL 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.
Author 李强亚
刘涛
王建成
谭永红
阎帅
AuthorAffiliation 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
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Author_FL TAN Yong-hong
LIU Tao
LI Qiang-ya
YAN Shuai
WANG Jian-cheng
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DocumentTitle_FL Hysteresis characteristics modeling of piezoelectric actuator by gradient boosting least-squares support vector regression
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Keywords guaran-teed convergence particle swarm optimization
gradient boosting
磁滞算子
压电执行器
磁滞效应
最小二乘支持向量机
hysteretic operator
hysteresis effect
梯度提升
least-squares support vector machine
可保证收敛粒子群算法
piezoelectric actuator
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PublicationTitle 控制理论与应用
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Publisher 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
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