Combined state and least squares parameter estimation algorithms for dynamic systems

被引:225
|
作者
Ding, Feng [1 ,2 ]
机构
[1] Jiangnan Univ, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Peoples R China
[2] Jiangnan Univ, Control Sci & Engn Res Ctr, Wuxi 214122, Peoples R China
基金
中国国家自然科学基金;
关键词
Dynamic system; Numerical algorithm; Least squares; Parameter estimation; Recursive identification; State space model; IDENTIFICATION METHODS; ITERATIVE ESTIMATION; PERFORMANCE ANALYSIS; MODEL;
D O I
10.1016/j.apm.2013.06.007
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The control theory and automation technology cast the glory of our era. Highly integrated computer chip and automation products are changing our lives. Mathematical models and parameter estimation are basic for automatic control. This paper discusses the parameter estimation algorithm of establishing the mathematical models for dynamic systems and presents an estimated states based recursive least squares algorithm, and the states of the system are computed through the Kalman filter using the estimated parameters. A numerical example is provided to confirm the effectiveness of the proposed algorithm. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:403 / 412
页数:10
相关论文
共 50 条
  • [31] Least squares formulation for state estimation
    Robertson, D.G.
    Lee, J.H.
    Journal of Process Control, 1995, 5 (04):
  • [32] Electric Vehicle Model Parameter Estimation with Combined Least Squares and Gradient Descent Method
    Gozukucuk, Mehmet Ali
    Ugurdag, H. Fatih
    Dedekoy, Mert
    Celik, Mert
    Akdogan, Taylan
    2019 11TH INTERNATIONAL CONFERENCE ON ELECTRICAL AND ELECTRONICS ENGINEERING (ELECO 2019), 2019, : 805 - 809
  • [33] Least-Squares Parameter Estimation Algorithm for a Class of Input Nonlinear Systems
    Xiong, Weili
    Fan, Wei
    Ding, Rui
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [34] Least-squares parameter estimation for state-space models with state equality constraints
    Ricco, Rodrigo A.
    Teixeira, Bruno O. S.
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (01) : 1 - 13
  • [35] State filtering-based least squares parameter estimation for bilinear systems using the hierarchical identification principle
    Zhang, Xiao
    Ding, Feng
    Xu, Ling
    Yang, Erfu
    IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (12): : 1704 - 1713
  • [36] PARAMETER-ESTIMATION IN WATER-DISTRIBUTION SYSTEMS BY LEAST-SQUARES
    DATTA, RSN
    SRIDHARAN, K
    JOURNAL OF WATER RESOURCES PLANNING AND MANAGEMENT-ASCE, 1994, 120 (04): : 405 - 422
  • [37] Kalman state filtering based least squares iterative parameter estimation for observer canonical state space systems using decomposition
    Ding, Feng
    Liu, Ximei
    Ma, Xingyun
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 301 : 135 - 143
  • [38] Joint Multi-innovation Recursive Extended Least Squares Parameter and State Estimation for a Class of State-space Systems
    Cui, Ting
    Ding, Feng
    Jin, Xue-Bo
    Alsaedi, Ahmed
    Hayat, Tasawar
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2020, 18 (06) : 1412 - 1424
  • [39] Joint Multi-innovation Recursive Extended Least Squares Parameter and State Estimation for a Class of State-space Systems
    Ting Cui
    Feng Ding
    Xue-Bo Jin
    Ahmed Alsaedi
    Tasawar Hayat
    International Journal of Control, Automation and Systems, 2020, 18 : 1412 - 1424