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Adaptive filtering parameter estimation algorithms for Hammerstein nonlinear systems

机译：Hammerstein非线性系统的自适应滤波参数估计算法

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摘要

This paper studies the parameter estimation problems of the Hammerstein nonlinear systems using the adaptive filtering technique. A linear filter based recursive least squares (LF-RLS) identification algorithm with good convergence properties and high parameter estimation accuracy is proposed by filtering the input-output data. A linear filter based multi-innovation stochastic gradient (LF-MISG) algorithm is proposed by the innovation expansion, in order to improve the computational efficiency of the LF-RLS algorithm. Furthermore, a time-varying factor is introduced in the linear filter to improve the convergence speed of the LF-MISG algorithm. The efficiency of the proposed algorithms are shown in comparison with the conventional identification algorithms.
机译：本文利用自适应滤波技术研究了Hammerstein非线性系统的参数估计问题。通过对输入输出数据进行滤波，提出了一种基于线性滤波器的递归最小二乘（LF-RLS）辨识算法，该算法具有良好的收敛性和较高的参数估计精度。通过创新扩展，提出了一种基于线性滤波器的多创新随机梯度（L​​F-MISG）算法，以提高LF-RLS算法的计算效率。此外，在线性滤波器中引入了随时间变化的因子，以提高LF-MISG算法的收敛速度。与常规识别算法相比，该算法的效率有所提高。

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  • 来源
    《Signal processing》 |2016年第11期|417-425|共9页
  • 作者

    Yawen Mao; Feng Ding; Ahmed Alsaedi; Tasawar Hayat;

  • 作者单位

    Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China,Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia;

    Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China,Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;

    Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;

    Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia,Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Parameter estimation; Recursive identification; Nonlinear system; Adaptive filtering; Multi-innovation identification theory;

    机译：参数估计;递归识别;非线性系统自适应过滤多元创新识别理论;

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