Strong consistency of recursive identification for Hammerstein systems with discontinuous piecewise-linear memoryless block

被引：43
作者：
Chen, HF [1 ]
机构：
[1] Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Syst & Control, Beijing 100080, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2005年 / 50卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Hammerstein system; least squares; parametric approach; recursive estimation; strong consistency;
D O I：
10.1109/TAC.2005.856658
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 note deals with identification of Hammerstein systems with discontinuous piecewise-linear memoryless block followed by a linear subsystem. Recursive algorithms are proposed for estimating coefficients of the linear subsystem and six unknown parameters contained in the nonlinear static block. By taking a sequence of iid random variables with uniform distribution to serve as the system input, strong consistency is proved for all estimates given in the note. The theoretical results are verified by computer simulation.
引用
收藏
页码：1612 / 1617
页数：6
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