Least squares based iterative parameter estimation algorithm for state space model with time-delay

被引：0

作者：

Gu Ya ^{[1
]}

Chou Yongxin ^{[1
]}

Ding Wei ^{[1
]}

Liu Jicheng ^{[1
]}

机构：

[1] Changshu Inst Technol, Sch Elect Engn & Automat, Changshu 215500, Jiangsu, Peoples R China

来源：

2018 37TH CHINESE CONTROL CONFERENCE (CCC) | 2018年

关键词：

Parameter estimation; least squares; iterative identification; state space model; time-delay; IDENTIFICATION ALGORITHM; LINEAR-SYSTEMS;

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 researches parameter estimation problem for state space systems with time-delay. Combing the linear transformation and the property of the shift operator, the state space model with time-delay can be equivalent to the input-output representation and then can be transformed into the identification model. The least squares based iterative parameter estimation algorithm is raised to identify the system with time-delay and makes full use of all data at each iteration and thus can generate highly accurate parameter estimates. Finally, the example is provided to validate the proposed theorems.

引用

页码：1603 / 1607

页数：5

共 24 条

[1] Exponential stability of nonlinear differential repetitive processes with applications to iterative learning control [J].

Altin, Berk ;

Barton, Kira .

AUTOMATICA, 2017, 81 :369-376

[2] On the convergence of iterative learning control [J].

Ardakani, M. Mandi Ghazaei ;

Khong, Sei Zhen ;

Bernhardsson, Bo .

AUTOMATICA, 2017, 78 :266-273

[3] A hierarchical least squares identification algorithm for Hammerstein nonlinear systems using the key term separation [J].

Ding, Feng ;

Chen, Huibo ;

Xu, Ling ;

Dai, Jiyang ;

Li, Qishen ;

Hayat, Tasawar .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (08) :3737-3752

[4] Iterative parameter identification for pseudo-linear systems with ARMA noise using the filtering technique [J].

Ding, Feng ;

Xu, Ling ;

Alsaadi, Fuad E. ;

Hayat, Tasawar .

IET CONTROL THEORY AND APPLICATIONS, 2018, 12 (07) :892-899

[5] Decomposition based least squares iterative identification algorithm for multivariate pseudo-linear ARMA systems using the data filtering [J].

Ding, Feng ;

Wang, Feifei ;

Xu, Ling ;

Wu, Minghu .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (03) :1321-1339

[6] Parameter estimation for pseudo-linear systems using the auxiliary model and the decomposition technique [J].

Ding, Feng ;

Wang, Feifei ;

Xu, Ling ;

Hayat, Tasawar ;

Alsaedi, Ahmed .

IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (03) :390-400

[7] Performance analysis of the generalised projection identification for time-varying systems [J].

Ding, Feng ;

Xu, Ling ;

Zhu, Quanmin .

IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (18) :2506-2514

[8] Kalman state filtering based least squares iterative parameter estimation for observer canonical state space systems using decomposition [J].

Ding, Feng ;

Liu, Ximei ;

Ma, Xingyun .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2016, 301 :135-143

[9] Decentralized Iterative Learning Control for Large-scale Interconnected Linear Systems with Fixed Initial Shifts [J].

Fu, Qin ;

Gu, Pan-Pan ;

Wu, Jian-Rong .

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2017, 15 (05) :1991-2000

[10] Parameter estimation for an input nonlinear state space system with time delay [J].

Gu, Ya ;

Ding, Feng .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (12) :5326-5339

← 1 2 3 →