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气动肌肉的最小二乘支持向量机迟滞模型

The Hysteresis Modeling of Pneumatic Muscle Based on Least Squares Support Vector Machine Approach

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【作者】 谢胜龙; 张文欣; 鲁玉军; 张为民; 朱俊江; 林立; 任国营;

【Author】 XIE Sheng-long;ZHANG Wen-xin;LU Yu-jun;ZHANG Wei-min;ZHU Jun-jiang;LIN Li;REN Guo-ying;School of Mechanical and Electrical Engineering,China Jiliang University;Zhejiang Xizi Heavy Machinery Co.Ltd.;National Institute of Metrology;Zhejiang Sci-Tech University;CSCEC strait Construction and Development Co.Ltd.;

【通讯作者】 任国营;

【机构】 中国计量大学机电工程学院; 浙江西子重工机械有限公司; 中国计量科学研究院; 浙江理工大学机械与自动控制学院; 中建海峡建设发展有限公司;

【摘要】 针对传统迟滞模型存在的待辨识参数多、参数辨识过程复杂和辨识精度低等问题,采用最小二乘支持向量机对气动肌肉的位移/气压迟滞开展建模研究。通过非线性映射将原始数据空间映射到高维空间,将原系统的非线性问题变成高维空间中的线性问题,借助于最小二乘法求解该线性方程组,从而提高其求解速度及收敛精度。在气动肌肉迟滞特性实验的基础上,采用所建数学模型,与经典的PI模型进行对比。结果表明,采用最小二乘支持向量机建立的数学模型具有更高的建模精度,均方差和平均误差相比PI模型分别减小了99. 21%和99. 1%,该方法可为后续气动肌肉的迟滞补偿控制提供有效的手段。

【Abstract】 The traditional hysteresis modeling methods have series problems such as many parameters to be identified,complex parameter identification process and low identification accuracy,thus the least squares support vector machine( LS-SVM) approach is proposed to characterize the hysteresis phenomenon of pneumatic muscle( PM). The method maps the original data space to the high-dimensional space by non-linear mapping,thus the non-linear problem of the original system is transformed into a linear problem in the high-dimensional space,the least square method is used to solve the system of linear equations,which improves the speed of solution and convergence accuracy. Based on the experiments,the mathematical model of displacement/pressure hysteresis on PM was established by using LS-SVM method,the calculation results showed that the mathematical model established by LS-SVM has higher modeling accuracy and various error indices such as mean variance and mean error are significantly reduced,which reduce 99. 21% and 99. 1% respectively compared with the classical PI model. The method providing an effective means for subsequent hysteresis compensation control of PM.

【基金】 浙江省自然科学基金(LQ20E050017);国家重点研发计划(2018YFF0212702);之江国际青年人才基金(ZJ2019JS006)
  • 【文献出处】 计量学报 ,Acta Metrologica Sinica , 编辑部邮箱 ,2020年04期
  • 【分类号】TP181;TP242
  • 【被引频次】2
  • 【下载频次】149
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