Data filtering based maximum likelihood forgetting stochastic gradient identification algorithm for Box-Jenkins systems

被引:0
|
作者
Li, Junhong [1 ]
Yang, Yi [1 ]
Mao, Jingfeng [1 ]
Li, Chen [1 ]
Zhang, Qing [1 ]
机构
[1] Nantong Univ, Sch Elect Engn, Nantong 226019, Peoples R China
关键词
Recursive identification; Stochastic gradient; Maximum likelihood; Data filtering; Parameter estimation; ERRORS-IN-VARIABLES; LEAST-SQUARES; PARAMETER-IDENTIFICATION; RECURSIVE-IDENTIFICATION; HAMMERSTEIN SYSTEMS; MODELS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper considers the identification problems of Box-Jenkins systems based on the data filtering technique and maximum likelihood principle. After using the noise polynomial to filter the input and output data, two identification models are obtained. Then a maximum likelihood stochastic gradient algorithm and a stochastic gradient estimation algorithm are derived to interactively estimate the parameters of the two identification models. The simulation results show that the proposed algorithms can effectively estimate the parameters of Box-Jenkins systems.
引用
收藏
页码:1416 / 1420
页数:5
相关论文
共 50 条
  • [41] Maximum likelihood based multi-innovation stochastic gradient estimation for controlled autoregressive ARMA systems using the data filtering technique
    Chen, Feiyan
    Ding, Feng
    2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 5993 - 5998
  • [42] Parametric Identification of Box-Jenkins Structured Closed-loop Hammerstein Systems using Gravitational Search Algorithm
    Pal, P. S.
    Banerjee, S.
    Kar, R.
    Mandal, D.
    Ghoshal, S. P.
    2015 INTERNATIONAL CONFERENCE ON SCIENCE AND TECHNOLOGY (TICST), 2015, : 243 - 247
  • [43] Auxiliary Model-Based Maximum Likelihood Multi-Innovation Forgetting Gradient Identification for a Class of Multivariable Systems
    Wang, Huihui
    Liu, Ximei
    OPTIMAL CONTROL APPLICATIONS & METHODS, 2025,
  • [44] A novel maximum likelihood-based stochastic gradient algorithm for Hammerstein nonlinear systems with coloured noise
    Pu, Yan
    Chen, Jing
    INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL, 2019, 32 (01) : 23 - 29
  • [45] Least squares and stochastic gradient parameter estimation for multivariable nonlinear Box-Jenkins models based on the auxiliary model and the multi-innovation identification theory
    Chen, Jing
    Ding, Feng
    ENGINEERING COMPUTATIONS, 2012, 29 (7-8) : 907 - 921
  • [46] Maximum likelihood based multi-innovation stochastic gradient identification algorithms for bilinear stochastic systems with ARMA noise
    An, Shun
    He, Yan
    Wang, Longjin
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2023, 37 (10) : 2690 - 2705
  • [47] Maximum likelihood parameter estimation for ARMAX models based on stochastic gradient algorithm
    Li, Lun
    Pu, Yan
    Chen, Jing
    PROCEEDINGS OF 2018 10TH INTERNATIONAL CONFERENCE ON MODELLING, IDENTIFICATION AND CONTROL (ICMIC), 2018,
  • [49] Filtered auxiliary model recursive generalized extended parameter estimation methods for Box-Jenkins systems by means of the filtering identification idea
    Ding, Feng
    Xu, Ling
    Zhang, Xiao
    Zhou, Yihong
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2023, 33 (10) : 5510 - 5535
  • [50] Data filtering based maximum likelihood extended gradient method for multivariable systems with autoregressive moving average noise
    Chen, Feiyan
    Ding, Feng
    Xu, Ling
    Hayat, Tasawar
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (07): : 3381 - 3398