Sequential Matrix Rank Minimization Algorithm for Model Order Identification

Katsumi KONISHI

doi:10.1587/transfun.E95.A.1788

Sequential Matrix Rank Minimization Algorithm for Model Order Identification

Katsumi KONISHI

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This letter deals with a system identification problem with unknown model order, which can be formulated as the matrix rank minimization problem by applying the subspace identification method. A sequential rank minimization algorithm is provided by modifying the null space based alternating optimization (NSAO) algorithm, and a model order identification algorithm is proposed. Numerical examples show that the proposed sequential algorithm can adaptively identify the model order of switched systems whose model order changes.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E95-A No.10 pp.1788-1791

Publication Date: 2012/10/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E95.A.1788

Type of Manuscript: LETTER

Category: Systems and Control

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Katsumi KONISHI, "Sequential Matrix Rank Minimization Algorithm for Model Order Identification" in IEICE TRANSACTIONS on Fundamentals, vol. E95-A, no. 10, pp. 1788-1791, October 2012, doi: 10.1587/transfun.E95.A.1788.
Abstract: This letter deals with a system identification problem with unknown model order, which can be formulated as the matrix rank minimization problem by applying the subspace identification method. A sequential rank minimization algorithm is provided by modifying the null space based alternating optimization (NSAO) algorithm, and a model order identification algorithm is proposed. Numerical examples show that the proposed sequential algorithm can adaptively identify the model order of switched systems whose model order changes.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E95.A.1788/_p

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@ARTICLE{e95-a_10_1788,
author={Katsumi KONISHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Sequential Matrix Rank Minimization Algorithm for Model Order Identification},
year={2012},
volume={E95-A},
number={10},
pages={1788-1791},
abstract={This letter deals with a system identification problem with unknown model order, which can be formulated as the matrix rank minimization problem by applying the subspace identification method. A sequential rank minimization algorithm is provided by modifying the null space based alternating optimization (NSAO) algorithm, and a model order identification algorithm is proposed. Numerical examples show that the proposed sequential algorithm can adaptively identify the model order of switched systems whose model order changes.},
keywords={},
doi={10.1587/transfun.E95.A.1788},
ISSN={1745-1337},
month={October},}

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TY - JOUR
TI - Sequential Matrix Rank Minimization Algorithm for Model Order Identification
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1788
EP - 1791
AU - Katsumi KONISHI
PY - 2012
DO - 10.1587/transfun.E95.A.1788
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E95-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2012
AB - This letter deals with a system identification problem with unknown model order, which can be formulated as the matrix rank minimization problem by applying the subspace identification method. A sequential rank minimization algorithm is provided by modifying the null space based alternating optimization (NSAO) algorithm, and a model order identification algorithm is proposed. Numerical examples show that the proposed sequential algorithm can adaptively identify the model order of switched systems whose model order changes.
ER -