Coupled gradient algorithm for multivariable nonlinear systems

Xuehai Wang; Feiyan Chen; Feng Ding

doi:10.1109/CCDC.2015.7161944

Coupled gradient algorithm for multivariable nonlinear systems

Xuehai Wang, Feiyan Chen, Feng Ding

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

1 Citation (Scopus)

Abstract

This article deals with the identification problems of multivariable nonlinear systems. A coupled gradient algorithm is developed based on the decomposition technique. Using the Kronecker product, the system is transformed a linear regression model, which is decomposed into several sub-models containing the common parameters. Then the system estimates are estimated by using the coupling identification concept. The coupled gradient algorithm avoids handing with the product terms between the parameters of the linear block and the nonlinear block. A simulated numerical example is employed to validate the effectiveness of the proposed algorithm.

Original language	English
Title of host publication	Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	6276-6279
Number of pages	4
ISBN (Electronic)	9781479970179
DOIs	https://doi.org/10.1109/CCDC.2015.7161944
Publication status	Published - 17 Jul 2015
Externally published	Yes
Event	27th Chinese Control and Decision Conference, CCDC 2015 - Qingdao, China Duration: 23 May 2015 → 25 May 2015

Publication series

Name	Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015

Conference

Conference	27th Chinese Control and Decision Conference, CCDC 2015
Country/Territory	China
City	Qingdao
Period	23/05/15 → 25/05/15

Keywords

Gradient search
Multivariable system
Nonlinear system
Parameter estimation

Access to Document

10.1109/CCDC.2015.7161944

Cite this

Wang, X., Chen, F., & Ding, F. (2015). Coupled gradient algorithm for multivariable nonlinear systems. In Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015 (pp. 6276-6279). Article 7161944 (Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC.2015.7161944

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title = "Coupled gradient algorithm for multivariable nonlinear systems",

abstract = "This article deals with the identification problems of multivariable nonlinear systems. A coupled gradient algorithm is developed based on the decomposition technique. Using the Kronecker product, the system is transformed a linear regression model, which is decomposed into several sub-models containing the common parameters. Then the system estimates are estimated by using the coupling identification concept. The coupled gradient algorithm avoids handing with the product terms between the parameters of the linear block and the nonlinear block. A simulated numerical example is employed to validate the effectiveness of the proposed algorithm.",

keywords = "Gradient search, Multivariable system, Nonlinear system, Parameter estimation",

author = "Xuehai Wang and Feiyan Chen and Feng Ding",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 27th Chinese Control and Decision Conference, CCDC 2015 ; Conference date: 23-05-2015 Through 25-05-2015",

year = "2015",

month = jul,

day = "17",

doi = "10.1109/CCDC.2015.7161944",

language = "English",

series = "Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "6276--6279",

booktitle = "Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015",

}

Wang, X, Chen, F & Ding, F 2015, Coupled gradient algorithm for multivariable nonlinear systems. in Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015., 7161944, Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015, Institute of Electrical and Electronics Engineers Inc., pp. 6276-6279, 27th Chinese Control and Decision Conference, CCDC 2015, Qingdao, China, 23/05/15. https://doi.org/10.1109/CCDC.2015.7161944

Coupled gradient algorithm for multivariable nonlinear systems. / Wang, Xuehai; Chen, Feiyan; Ding, Feng.
Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 6276-6279 7161944 (Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015).

Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review

TY - GEN

T1 - Coupled gradient algorithm for multivariable nonlinear systems

AU - Wang, Xuehai

AU - Chen, Feiyan

AU - Ding, Feng

PY - 2015/7/17

Y1 - 2015/7/17

N2 - This article deals with the identification problems of multivariable nonlinear systems. A coupled gradient algorithm is developed based on the decomposition technique. Using the Kronecker product, the system is transformed a linear regression model, which is decomposed into several sub-models containing the common parameters. Then the system estimates are estimated by using the coupling identification concept. The coupled gradient algorithm avoids handing with the product terms between the parameters of the linear block and the nonlinear block. A simulated numerical example is employed to validate the effectiveness of the proposed algorithm.

AB - This article deals with the identification problems of multivariable nonlinear systems. A coupled gradient algorithm is developed based on the decomposition technique. Using the Kronecker product, the system is transformed a linear regression model, which is decomposed into several sub-models containing the common parameters. Then the system estimates are estimated by using the coupling identification concept. The coupled gradient algorithm avoids handing with the product terms between the parameters of the linear block and the nonlinear block. A simulated numerical example is employed to validate the effectiveness of the proposed algorithm.

KW - Gradient search

KW - Multivariable system

KW - Nonlinear system

KW - Parameter estimation

UR - http://www.scopus.com/inward/record.url?scp=84945537187&partnerID=8YFLogxK

U2 - 10.1109/CCDC.2015.7161944

DO - 10.1109/CCDC.2015.7161944

M3 - Conference Proceeding

AN - SCOPUS:84945537187

T3 - Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015

SP - 6276

EP - 6279

BT - Proceedings of the 2015 27th Chinese Control and Decision Conference, CCDC 2015

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 27th Chinese Control and Decision Conference, CCDC 2015

Y2 - 23 May 2015 through 25 May 2015

ER -

Coupled gradient algorithm for multivariable nonlinear systems

Abstract

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Conference

Keywords

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