A combined approach for the identification of continuous non-linear systems

被引：4

作者：

Voss, HU ^{[1
]}

Rust, H ^{[1
]}

Horbelt, W ^{[1
]}

Timmer, J ^{[1
]}

机构：

[1] Freiburg Ctr Data Anal & Modelling, D-79104 Freiburg, Germany

来源：

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING | 2003年 / 17卷 / 05期

关键词：

non-parametric identification; parameter estimation; non-linear circuits;

D O I：

10.1002/acs.750

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 identification of a non-linear continuous output-only system from a time series is considered for the case that the functional form of the model is not known beforehand. To estimate both functions and parameters, a combination of non-parametric modelling based on non-linear regression and parametric modelling based on a multiple shooting algorithm is proposed. This strategy to determine non-linear differential equations is exemplified on experimental data from a chaotic circuit where an accurate reconstruction of the observed attractor is obtained. Copyright (C) 2003 John Wiley Sons, Ltd.

引用

页码：335 / 352

页数：18

共 50 条

[1] CATEGORICAL APPROACH TO NON-LINEAR CONSTANT CONTINUOUS-TIME SYSTEMS
EHRIG, H
KUHNEL, W
[J]. RAIRO-INFORMATIQUE THEORIQUE ET APPLICATIONS-THEORETICAL INFORMATICS AND APPLICATIONS, 1979, 13 (02): : 107 - 133
[2] IDENTIFICATION AND MODELING OF NON-LINEAR SYSTEMS
MASRI, SF
SASSI, H
CAUGHEY, TK
[J]. NUCLEAR ENGINEERING AND DESIGN, 1982, 72 (02) : 235 - 270
[3] IDENTIFICATION OF NON-LINEAR SYSTEMS - A SURVEY
BILLINGS, SA
[J]. IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1980, 127 (06): : 272 - 285
[4] IDENTIFICATION OF NON-LINEAR MECHANICAL SYSTEMS
TUMANOV, YA
LAVROV, VY
MARKOV, YG
[J]. SOVIET APPLIED MECHANICS, 1981, 17 (09): : 855 - 858
[5] Parametric identification of non-linear systems
Padhy, PK
Majhi, S
[J]. Proceedings of the IEEE INDICON 2004, 2004, : 220 - 224
[6] SIMULATION METHODS FOR COMBINED LINEAR AND NON-LINEAR SYSTEMS
PALUSINSKI, OA
WAIT, JV
[J]. SIMULATION, 1978, 30 (03) : 85 - 94
[7] NON-LINEAR SYSTEMS IDENTIFICATION - RECURSIVE IDENTIFICATION OF A CLASS OF NON-LINEAR TIME-SERIES
TSOI, AC
[J]. BIOMETRICS, 1979, 35 (03) : 699 - 699
[8] Consistent Methods of Identification of Non-Linear Systems: an Analysis and Solution Approach
Chernyshov, K. R.
[J]. PROCEEDINGS OF THE 2015 10TH IEEE CONFERENCE ON INDUSTRIAL ELECTRONICS AND APPLICATIONS, 2015, : 428 - 433
[9] A Unified Approach of Control and Identification for Optimal Control of Non-linear Systems
Ito, Yuji
Fujimoto, Kenji
Tadokoro, Yukihiro
Yoshimura, Takayoshi
[J]. 2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 2032 - 2037
[10] Linear path identification of general non-linear systems
Rice, HJ
Xu, KQ
[J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1996, 10 (01) : 55 - 63

← 1 2 3 4 5 →