Interpolatory Model Order Reduction Method for Second Order Systems

Zhi Yong Qiu; Yao Lin Jiang; Jia Wei Yuan

doi:10.1002/asjc.1550

Interpolatory Model Order Reduction Method for Second Order Systems

Zhi Yong Qiu
, Yao Lin Jiang
, Jia Wei Yuan

School of Mathematics and Statistics

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

In this paper, we propose a structure-preserving model reduction method for second-order systems based on H₂ optimal interpolation. In the iterative process of the proposed method, an algorithm is presented for selecting interpolation points in order to control the dimension of the reduced system. Result about error analysis of the interpolation points selection algorithm is obtained and the property of the new model reduction method is also given. Finally, three numerical examples are performed to illustrate the effectiveness of the new method.

Original language	English
Pages (from-to)	312-322
Number of pages	11
Journal	Asian Journal of Control
Volume	20
Issue number	1
DOIs	https://doi.org/10.1002/asjc.1550
State	Published - Jan 2018

Keywords

SVD factorization
Second order systems
rational interpolation
structure-preserving

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10.1002/asjc.1550

Cite this

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title = "Interpolatory Model Order Reduction Method for Second Order Systems",

abstract = "In this paper, we propose a structure-preserving model reduction method for second-order systems based on H2 optimal interpolation. In the iterative process of the proposed method, an algorithm is presented for selecting interpolation points in order to control the dimension of the reduced system. Result about error analysis of the interpolation points selection algorithm is obtained and the property of the new model reduction method is also given. Finally, three numerical examples are performed to illustrate the effectiveness of the new method.",

keywords = "SVD factorization, Second order systems, rational interpolation, structure-preserving",

author = "Qiu, \{Zhi Yong\} and Jiang, \{Yao Lin\} and Yuan, \{Jia Wei\}",

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year = "2018",

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doi = "10.1002/asjc.1550",

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AU - Jiang, Yao Lin

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N2 - In this paper, we propose a structure-preserving model reduction method for second-order systems based on H2 optimal interpolation. In the iterative process of the proposed method, an algorithm is presented for selecting interpolation points in order to control the dimension of the reduced system. Result about error analysis of the interpolation points selection algorithm is obtained and the property of the new model reduction method is also given. Finally, three numerical examples are performed to illustrate the effectiveness of the new method.

AB - In this paper, we propose a structure-preserving model reduction method for second-order systems based on H2 optimal interpolation. In the iterative process of the proposed method, an algorithm is presented for selecting interpolation points in order to control the dimension of the reduced system. Result about error analysis of the interpolation points selection algorithm is obtained and the property of the new model reduction method is also given. Finally, three numerical examples are performed to illustrate the effectiveness of the new method.

KW - SVD factorization

KW - Second order systems

KW - rational interpolation

KW - structure-preserving

UR - https://www.scopus.com/pages/publications/85020669284

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DO - 10.1002/asjc.1550

M3 - 文章

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JO - Asian Journal of Control

JF - Asian Journal of Control

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Interpolatory Model Order Reduction Method for Second Order Systems

Abstract

Keywords

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