Hierarchical least squares algorithms for single-input multiple-output systems based on the auxiliary model

被引:28
|
作者
Xiang, Lili [1 ]
Xie, Linbo [1 ]
Liao, Yuwu [2 ]
Ding, Ruifeng [1 ]
机构
[1] Jiangnan Univ, Sch Commun & Control Engn, Wuxi 214122, Peoples R China
[2] Xiangfan Univ, Dept Phys & Elect Informat Technol, Xiangfan 441053, Peoples R China
基金
中国国家自然科学基金;
关键词
Least squares; Parameter estimation; Auxiliary model identification; Hierarchical identification; DUAL-RATE SYSTEMS; STOCHASTIC GRADIENT ALGORITHMS; NONSTATIONARY ARMA PROCESSES; SELF-TUNING CONTROL; PARAMETER-ESTIMATION; IDENTIFICATION METHODS; PERFORMANCE ANALYSIS; MULTIRATE SYSTEMS; MISO SYSTEMS; CONVERGENCE;
D O I
10.1016/j.mcm.2010.05.025
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper presents an auxiliary model based hierarchical least squares algorithm to estimate the parameters of single-input multi-output system modelling by combining the auxiliary model identification idea and the hierarchical identification principle. a numerical example is given to show the performance of the proposed algorithm. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:918 / 924
页数:7
相关论文
共 50 条
  • [1] Hierarchical recursive least squares parameter estimation methods for multiple-input multiple-output systems by using the auxiliary models
    Xing, Haoming
    Ding, Feng
    Pan, Feng
    Yang, Erfu
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2023, 37 (11) : 2983 - 3007
  • [2] Auxiliary model-based hierarchical stochastic gradient methods for multiple-input multiple-output systems
    Xing, Haoming
    Ding, Feng
    Pan, Feng
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 442
  • [3] Two recursive least squares parameter estimation algorithms for multirate multiple-input systems by using the auxiliary model
    Han, Lili
    Wu, Fangxiang
    Sheng, Jie
    Ding, Feng
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2012, 82 (05) : 777 - 789
  • [4] Least squares based iterative identification algorithms for input nonlinear controlled autoregressive systems based on the auxiliary model
    Hu, Huiyi
    Ding, Rui
    NONLINEAR DYNAMICS, 2014, 76 (01) : 777 - 784
  • [5] Auxiliary model-based maximum likelihood multi-innovation recursive least squares identification for multiple-input multiple-output systems☆
    Wang, Huihui
    Zhang, Qian
    Liu, Ximei
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2024, 361 (18):
  • [6] Hierarchical least squares based iterative estimation algorithm for multivariable Box-Jenkins-like systems using the auxiliary model
    Zhang, Zhening
    Jia, Jie
    Ding, Ruifeng
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 5580 - 5587
  • [7] Auxiliary model identification method for multirate multi-input systems based on least squares
    Han, Lili
    Sheng, Jie
    Ding, Feng
    Shi, Yang
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (7-8) : 1100 - 1106
  • [8] Least squares based iterative identification algorithms for input nonlinear controlled autoregressive systems based on the auxiliary model
    Huiyi Hu
    Rui Ding
    Nonlinear Dynamics, 2014, 76 : 777 - 784
  • [9] Hierarchical least squares based iterative algorithms for two-input single-output Hammerstein finite impulse response systems
    Sha, Liangbin
    Ji, Yan
    PROCEEDINGS OF 2020 IEEE 9TH DATA DRIVEN CONTROL AND LEARNING SYSTEMS CONFERENCE (DDCLS'20), 2020, : 674 - 678
  • [10] Highly-computational hierarchical iterative identification methods for multiple-input multiple-output systems by using the auxiliary models
    Xing, Haoming
    Ding, Feng
    Pan, Feng
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2023, 33 (17) : 10845 - 10863