Convergence of the iterative Hammerstein system identification algorithm

被引：169

作者：

Bai, EW ^{[1
]}

Li, D

机构：

[1] Univ Iowa, Dept Elect & Comp Engn, Iowa City, IA 52242 USA

[2] Chinese Univ Hong Kong, Dept Syst Engn & Engn Management, Hong Kong, Hong Kong, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2004年 / 49卷 / 11期

基金：

美国国家科学基金会;

关键词：

Hammerstein systems; nonlinear systems; parameter estimation; system identification;

D O I：

10.1109/TAC.2004.837592

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The convergence of the iterative identification algorithm for the Hammerstein system has been an open problem for a long time. In this paper, a detailed study is carried out and various convergence properties of the iterative algorithm are derived. It is shown that the iterative algorithm with normalization is convergent in general. Moreover, it is shown that convergence takes place in one step (two least squares iterations) for finite-impulse response Hammerstein models with i.i.d. inputs.

引用

页码：1929 / 1940

页数：12

共 50 条

[1] Convergence of the iterative Hammerstein system identification algorithm
Bai, EW
Li, D
2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 3868 - 3873
[2] Convergence of the iterative algorithm for a general Hammerstein system identification
Bai, Er-Wei
Li, Kang
AUTOMATICA, 2010, 46 (11) : 1891 - 1896
[3] ON THE CONVERGENCE OF AN ITERATIVE ALGORITHM USED FOR HAMMERSTEIN SYSTEM-IDENTIFICATION
STOICA, P
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (04) : 967 - 969
[4] Convergence of normalized iterative identification of Hammerstein systems
Li, Guoqi
Wen, Changyun
SYSTEMS & CONTROL LETTERS, 2011, 60 (11) : 929 - 935
[5] Evolutionary identification algorithm for Hammerstein system and its convergence analysis
Zhangqian
Wang Qunjing
Li Guoli
PROCEEDINGS OF THE 2014 9TH IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS (ICIEA), 2014, : 2122 - +
[6] Iterative identification of neuro-fuzzy-based Hammerstein model with global convergence
Jia, L
Chiu, MS
Ge, SZS
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2005, 44 (06) : 1823 - 1831
[7] Iterative identification of Hammerstein systems
Liu, Yun
Bai, Er-Wei
AUTOMATICA, 2007, 43 (02) : 346 - 354
[8] A nonparametric polynomial identification algorithm for the Hammerstein system
Lang, ZQ
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (10) : 1435 - 1441
[9] Hammerstein System Identification With the Nearest Neighbor Algorithm
Greblicki, Wlodzimierz
Pawlak, Miroslaw
IEEE TRANSACTIONS ON INFORMATION THEORY, 2017, 63 (08) : 4746 - 4757
[10] Iterative algorithm for parameter identification of Hammerstein systems with two-segment nonlinearities
Vörös, J
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (11) : 2145 - 2149

← 1 2 3 4 5 →