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Journal of Zhejiang University SCIENCE A 2009 Vol.10 No.8 P.1177~1186


Subspace identification for continuous-time errors-in-variables model from sampled data

Author(s):  Ping WU, Chun-jie YANG, Zhi-huan SONG

Affiliation(s):  State Key Lab of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   pwu@iipc.zju.edu.cn, cjyang@iipc.zju.edu.cn

Key Words:  System identification, Errors-in-variables, Continuous-time system, Subspace method

Ping WU, Chun-jie YANG, Zhi-huan SONG. Subspace identification for continuous-time errors-in-variables model from sampled data[J]. Journal of Zhejiang University Science A, 2009, 10(8): 1177~1186.

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journal="Journal of Zhejiang University Science A",
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%T Subspace identification for continuous-time errors-in-variables model from sampled data
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%J Journal of Zhejiang University SCIENCE A
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0820684

T1 - Subspace identification for continuous-time errors-in-variables model from sampled data
A1 - Ping WU
A1 - Chun-jie YANG
A1 - Zhi-huan SONG
J0 - Journal of Zhejiang University Science A
VL - 10
IS - 8
SP - 1177
EP - 1186
%@ 1673-565X
Y1 - 2009
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A0820684

We study the subspace identification for the continuous-time errors-in-variables model from sampled data. First, the filtering approach is applied to handle the time-derivative problem inherent in continuous-time identification. The generalized Poisson moment functional is focused. A total least squares equation based on this filtering approach is derived. Inspired by the idea of discrete-time subspace identification based on principal component analysis, we develop two algorithms to deliver consistent estimates for the continuous-time errors-in-variables model by introducing two different instrumental variables. Order determination and other instrumental variables are discussed. The usefulness of the proposed algorithms is illustrated through numerical simulation.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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