Controllability, Observability and Model Reduction of Separable Denominator M-D Systems
Summary :
This paper studies the model reduction of separable denominator multi-dimensional (SD M-D, M is used as an integer) linear, shift-invariant systems (systems for short). First, it shows that the controllability, observability and stability of an SD M-D system are completely determined by M 1-D multi-input multi-output systems, which are referred to as the characteristic systems in this paper. Then the balanced realizations of SD M-D systems are defined, and a synthesis method of such realizations is given. Finally, a model reduction method based on the balanced realizations is proposed. Validity of this method is illustrated by a numerical example of a 3-D system.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E71-E No.5 pp.505-513
- Publication Date
- 1988/05/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Systems and Control
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ZHAO Qiangfu, Masayuki KAWAMATA, Tatsuo HIGUCHI, "Controllability, Observability and Model Reduction of Separable Denominator M-D Systems" in IEICE TRANSACTIONS on transactions,
vol. E71-E, no. 5, pp. 505-513, May 1988, doi: .
Abstract: This paper studies the model reduction of separable denominator multi-dimensional (SD M-D, M is used as an integer) linear, shift-invariant systems (systems for short). First, it shows that the controllability, observability and stability of an SD M-D system are completely determined by M 1-D multi-input multi-output systems, which are referred to as the characteristic systems in this paper. Then the balanced realizations of SD M-D systems are defined, and a synthesis method of such realizations is given. Finally, a model reduction method based on the balanced realizations is proposed. Validity of this method is illustrated by a numerical example of a 3-D system.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e71-e_5_505/_p
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@ARTICLE{e71-e_5_505,
author={ZHAO Qiangfu, Masayuki KAWAMATA, Tatsuo HIGUCHI, },
journal={IEICE TRANSACTIONS on transactions},
title={Controllability, Observability and Model Reduction of Separable Denominator M-D Systems},
year={1988},
volume={E71-E},
number={5},
pages={505-513},
abstract={This paper studies the model reduction of separable denominator multi-dimensional (SD M-D, M is used as an integer) linear, shift-invariant systems (systems for short). First, it shows that the controllability, observability and stability of an SD M-D system are completely determined by M 1-D multi-input multi-output systems, which are referred to as the characteristic systems in this paper. Then the balanced realizations of SD M-D systems are defined, and a synthesis method of such realizations is given. Finally, a model reduction method based on the balanced realizations is proposed. Validity of this method is illustrated by a numerical example of a 3-D system.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - Controllability, Observability and Model Reduction of Separable Denominator M-D Systems
T2 - IEICE TRANSACTIONS on transactions
SP - 505
EP - 513
AU - ZHAO Qiangfu
AU - Masayuki KAWAMATA
AU - Tatsuo HIGUCHI
PY - 1988
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E71-E
IS - 5
JA - IEICE TRANSACTIONS on transactions
Y1 - May 1988
AB - This paper studies the model reduction of separable denominator multi-dimensional (SD M-D, M is used as an integer) linear, shift-invariant systems (systems for short). First, it shows that the controllability, observability and stability of an SD M-D system are completely determined by M 1-D multi-input multi-output systems, which are referred to as the characteristic systems in this paper. Then the balanced realizations of SD M-D systems are defined, and a synthesis method of such realizations is given. Finally, a model reduction method based on the balanced realizations is proposed. Validity of this method is illustrated by a numerical example of a 3-D system.
ER -
English
