Parameter estimation for an input nonlinear state space system with time delay

被引：13

作者：

Gu, Ya ^{[1
]}

Ding, Feng ^{[2
]}

机构：

[1] Jiangnan Univ, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Peoples R China

[2] Jiangnan Univ, Sch Internet Things Engn, Wuxi 214122, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 12期

基金：

中国国家自然科学基金;

关键词：

LEAST-SQUARES ALGORITHM; ITERATIVE ESTIMATION; IDENTIFICATION;

D O I：

10.1016/j.jfranklin.2014.08.018

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 researches parameter estimation problems for an input nonlinear system with state time-delay. Combining the linear transformation and the property of the shift operator, the system is transformed into a bilinear parameter identification model. A gradient based and a least squares based iterative parameter estimation algorithms are presented for identifying the state time-delay system. The simulation results confirm that the proposed two algorithms are effective and the least squares based iterative algorithm has faster convergence rates than the gradient based iterative algorithm. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：5326 / 5339

页数：14

共 50 条

[31] Parameter and State Estimation Algorithm for a State Space Model with a One-unit State Delay
Ya Gu
Xianling Lu
Ruifeng Ding
Circuits, Systems, and Signal Processing, 2013, 32 : 2267 - 2280
[32] Fault Estimation of Nonlinear Time Varying Delay System
Mansouri, Omayma
Boulaabi, Iskander
Ben Hmida, Faycal
Sellami, Anis
PROCEEDINGS OF THE 2020 17TH INTERNATIONAL MULTI-CONFERENCE ON SYSTEMS, SIGNALS & DEVICES (SSD 2020), 2020, : 296 - 301
[33] A multi-innovation state and parameter estimation algorithm for a state space system with d-step state-delay
Xu, Ling
Ding, Feng
Gu, Ya
Alsaedi, Ahmed
Hayat, Tasawar
SIGNAL PROCESSING, 2017, 140 : 97 - 103
[34] Partial state and unknown input estimation for time-delay systems
Teh, P. S.
Trinh, H.
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2012, 43 (04) : 748 - 763
[35] Time-delay estimation for phase space reconstruction based on detecting nonlinear correlation of a system
Xu, Yan
Wang, Bo
Li, Peng
Zhendong yu Chongji/Journal of Vibration and Shock, 2014, 33 (08): : 4 - 10
[36] Parameter estimation for a dual-rate system with time delay
Chen, Lei
Han, Lili
Huang, Biao
Liu, Fei
ISA TRANSACTIONS, 2014, 53 (05) : 1368 - 1376
[37] State feedback control and delay estimation for LTI system with unknown input-delay
Deng, Yang
Lechappe, Vincent
Moulay, Emmanuel
Plestan, Franck
INTERNATIONAL JOURNAL OF CONTROL, 2021, 94 (09) : 2369 - 2378
[38] Optimal input design for parameter estimation in nonlinear state-space models using Pontryagin's minimum principle
Keesman, Karel J.
IFAC PAPERSONLINE, 2015, 48 (28): : 1319 - 1324
[39] Time-delay estimation for nonlinear systems with piecewise-constant input
Chai, Qinqin
Loxton, Ryan
Teo, Kok Lay
Yang, Chunhua
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) : 9543 - 9560
[40] State and Parameter Estimation for Nonlinear Delay Systems Using Sliding Mode Techniques
Yan, Xing-Gang
Spurgeon, Sarah K.
Edwards, Christopher
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (04) : 1023 - 1029

← 1 2 3 4 5 →