Iterative method in the identification of block-oriented systems based on biconvex optimization

Guoqi Li; Changyun Wen; Wei Xing Zheng; Guangshe Zhao

doi:10.3182/20120711-3-BE-2027.00289

Iterative method in the identification of block-oriented systems based on biconvex optimization

Guoqi Li, Changyun Wen, Wei Xing Zheng, Guangshe Zhao

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

2 Citations (Scopus)

Abstract

In this paper, we investigate the identification of the class of block-oriented nonlinear systems presented by Li et al. [2011] by using an iterative method. Firstly, a common model is proposed to represent such block-oriented systems. Then identifying the common model is formulated as a biconvex optimization problem. Based on this, a normalized alterative convex search (NACS) algorithm is proposed under a given arbitrary nonzero initial condition. It is shown that we only need to find the unique partial optimum point of a biconvex cost function in the formulated optimization problem in order to obtain its global minimum point. Thus, the convergence property of the proposed algorithm is established under arbitrary nonzero initial conditions. The approach presented in this paper provides a unified framework for the identification of block-oriented systems.

Original language	English
Title of host publication	Proceedings of the 16th IFAC Symposium on System Identification, The International Federation of Automatic Control, Brussels, Belgium. July 11-13, 2012
Publisher	IFAC
Pages	31-36
Number of pages	6
DOIs	https://doi.org/10.3182/20120711-3-BE-2027.00289
Publication status	Published - 2012
Event	IFAC Symposium on System Identification - Duration: 11 Jul 2012 → …

Conference

Conference	IFAC Symposium on System Identification
Period	11/07/12 → …

Keywords

algorithms
iterative methods (mathematics)
nonlinear systems
parameter estimation

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10.3182/20120711-3-BE-2027.00289

Cite this

@inproceedings{771b00fb1ba24fc0966bec6668483bef,

title = "Iterative method in the identification of block-oriented systems based on biconvex optimization",

abstract = "In this paper, we investigate the identification of the class of block-oriented nonlinear systems presented by Li et al. [2011] by using an iterative method. Firstly, a common model is proposed to represent such block-oriented systems. Then identifying the common model is formulated as a biconvex optimization problem. Based on this, a normalized alterative convex search (NACS) algorithm is proposed under a given arbitrary nonzero initial condition. It is shown that we only need to find the unique partial optimum point of a biconvex cost function in the formulated optimization problem in order to obtain its global minimum point. Thus, the convergence property of the proposed algorithm is established under arbitrary nonzero initial conditions. The approach presented in this paper provides a unified framework for the identification of block-oriented systems.",

keywords = "algorithms, iterative methods (mathematics), nonlinear systems, parameter estimation",

author = "Guoqi Li and Changyun Wen and Zheng, {Wei Xing} and Guangshe Zhao",

year = "2012",

doi = "10.3182/20120711-3-BE-2027.00289",

language = "English",

pages = "31--36",

booktitle = "Proceedings of the 16th IFAC Symposium on System Identification, The International Federation of Automatic Control, Brussels, Belgium. July 11-13, 2012",

publisher = "IFAC",

note = "IFAC Symposium on System Identification ; Conference date: 11-07-2012",

}

Li, G, Wen, C, Zheng, WX & Zhao, G 2012, Iterative method in the identification of block-oriented systems based on biconvex optimization. in Proceedings of the 16th IFAC Symposium on System Identification, The International Federation of Automatic Control, Brussels, Belgium. July 11-13, 2012. IFAC, pp. 31-36, IFAC Symposium on System Identification, 11/07/12. https://doi.org/10.3182/20120711-3-BE-2027.00289

Iterative method in the identification of block-oriented systems based on biconvex optimization. / Li, Guoqi; Wen, Changyun; Zheng, Wei Xing et al.
Proceedings of the 16th IFAC Symposium on System Identification, The International Federation of Automatic Control, Brussels, Belgium. July 11-13, 2012. IFAC, 2012. p. 31-36.

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

TY - GEN

T1 - Iterative method in the identification of block-oriented systems based on biconvex optimization

AU - Li, Guoqi

AU - Wen, Changyun

AU - Zheng, Wei Xing

AU - Zhao, Guangshe

PY - 2012

Y1 - 2012

N2 - In this paper, we investigate the identification of the class of block-oriented nonlinear systems presented by Li et al. [2011] by using an iterative method. Firstly, a common model is proposed to represent such block-oriented systems. Then identifying the common model is formulated as a biconvex optimization problem. Based on this, a normalized alterative convex search (NACS) algorithm is proposed under a given arbitrary nonzero initial condition. It is shown that we only need to find the unique partial optimum point of a biconvex cost function in the formulated optimization problem in order to obtain its global minimum point. Thus, the convergence property of the proposed algorithm is established under arbitrary nonzero initial conditions. The approach presented in this paper provides a unified framework for the identification of block-oriented systems.

AB - In this paper, we investigate the identification of the class of block-oriented nonlinear systems presented by Li et al. [2011] by using an iterative method. Firstly, a common model is proposed to represent such block-oriented systems. Then identifying the common model is formulated as a biconvex optimization problem. Based on this, a normalized alterative convex search (NACS) algorithm is proposed under a given arbitrary nonzero initial condition. It is shown that we only need to find the unique partial optimum point of a biconvex cost function in the formulated optimization problem in order to obtain its global minimum point. Thus, the convergence property of the proposed algorithm is established under arbitrary nonzero initial conditions. The approach presented in this paper provides a unified framework for the identification of block-oriented systems.

KW - algorithms

KW - iterative methods (mathematics)

KW - nonlinear systems

KW - parameter estimation

UR - http://handle.uws.edu.au:8081/1959.7/522453

U2 - 10.3182/20120711-3-BE-2027.00289

DO - 10.3182/20120711-3-BE-2027.00289

M3 - Conference Paper

SP - 31

EP - 36

BT - Proceedings of the 16th IFAC Symposium on System Identification, The International Federation of Automatic Control, Brussels, Belgium. July 11-13, 2012

PB - IFAC

T2 - IFAC Symposium on System Identification

Y2 - 11 July 2012

ER -

Iterative method in the identification of block-oriented systems based on biconvex optimization

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