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基于多尺度径向基函数的时变系统辨识

刘青 李阳

刘青, 李阳. 基于多尺度径向基函数的时变系统辨识[J]. 北京航空航天大学学报, 2015, 41(9): 1722-1728. doi: 10.13700/j.bh.1001-5965.2014.0693
引用本文: 刘青, 李阳. 基于多尺度径向基函数的时变系统辨识[J]. 北京航空航天大学学报, 2015, 41(9): 1722-1728. doi: 10.13700/j.bh.1001-5965.2014.0693
LIU Qing, LI Yang. Identification of time-varying systems using multi-scale radial basis function[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(9): 1722-1728. doi: 10.13700/j.bh.1001-5965.2014.0693(in Chinese)
Citation: LIU Qing, LI Yang. Identification of time-varying systems using multi-scale radial basis function[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(9): 1722-1728. doi: 10.13700/j.bh.1001-5965.2014.0693(in Chinese)

基于多尺度径向基函数的时变系统辨识

doi: 10.13700/j.bh.1001-5965.2014.0693
基金项目: 国家自然科学基金(61403016); 高等学校博士学科点专项科研基金(20131102120008); 教育部留学回国人员科研启动基金 (60300002014103001); 中央高校基本科研业务费专项资金(YWF-14-ZDHXY-020)
详细信息
    作者简介:

    刘青(1991—),女,河北沧州人,硕士研究生,lqyueming_2009@163.com

    通讯作者:

    李阳(1980—),男,湖南邵阳人,副教授,liyang@buaa.edu.cn,主要研究方向为复杂系统建模、信号处理与机器学习.

  • 中图分类号: N945.14

Identification of time-varying systems using multi-scale radial basis function

  • 摘要: 应用非平稳时间序列的时变系统建模方法进行了参数随时间变化的线性系统参数的辨识.通过引入多尺度径向基函数(MRBF)将非平稳过程的辨识问题转化为线性时不变过程的辨识,结合粒子群优化算法(PSO)获得时变系统参数估计的最优径向基函数(RBF)尺度.由于RBF具有良好的局部特性且尺度可以调整,采用RBF作为基函数可以更好地识别具有多种动态过程的时变系统参数.通过对时变系数包含多种波形的二阶时变自回归模型进行仿真辨识,与采用传统的递推最小二乘法和勒让德多项式作为基函数展开式方法相比,提出的方法对于时变系统参数具有更好的跟踪能力,验证了辨识方法的有效性.

     

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出版历程
  • 收稿日期:  2014-11-11
  • 网络出版日期:  2015-09-20

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