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Model order reduction based on discrete-time Laguerre functions for discrete linear periodic time-varying systems.

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Title: Model order reduction based on discrete-time Laguerre functions for discrete linear periodic time-varying systems.
Authors: Sun, Li-Li1 (AUTHOR), Xu, Kang-Li2 (AUTHOR), Jiang, Yao-Lin1,2 (AUTHOR) yljiang@xjtu.edu.cn
Source: Transactions of the Institute of Measurement & Control. Dec2020, Vol. 42 Issue 16, p3281-3289. 9p.
Subjects: Time-varying systems, Discrete systems, Fourier series, Algorithms, Transfer functions, Order
Abstract: Many engineering problems can be modelled as linear periodic time-varying (LPTV) systems, which naturally leads to the need for model order reduction of LPTV systems. This paper investigates a new model order reduction method for discrete LPTV systems. First, the state-space realization in the Fourier-lifted form of discrete LPTV system is constructed by representing periodic matrices in exponentially modulated periodic (EMP) Fourier series. By using Laguerre functions to expand the transfer function of the resulting Fourier-lifted system, the corresponding model order reduction algorithm is developed. Furthermore, the proposed algorithm is used to reduce the discrete LPTV system in the standard-lifted form. Theoretical analysis indicates that the transfer functions of both reduced order systems can match a certain number of moments. Finally, two numerical examples are given to verify the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]
Copyright of Transactions of the Institute of Measurement & Control is the property of Sage Publications, Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Model order reduction based on discrete-time Laguerre functions for discrete linear periodic time-varying systems.
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  Data: <searchLink fieldCode="AR" term="%22Sun%2C+Li-Li%22">Sun, Li-Li</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Xu%2C+Kang-Li%22">Xu, Kang-Li</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Jiang%2C+Yao-Lin%22">Jiang, Yao-Lin</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> yljiang@xjtu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Transactions+of+the+Institute+of+Measurement+%26+Control%22">Transactions of the Institute of Measurement & Control</searchLink>. Dec2020, Vol. 42 Issue 16, p3281-3289. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Time-varying+systems%22">Time-varying systems</searchLink><br /><searchLink fieldCode="DE" term="%22Discrete+systems%22">Discrete systems</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+series%22">Fourier series</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Transfer+functions%22">Transfer functions</searchLink><br /><searchLink fieldCode="DE" term="%22Order%22">Order</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Many engineering problems can be modelled as linear periodic time-varying (LPTV) systems, which naturally leads to the need for model order reduction of LPTV systems. This paper investigates a new model order reduction method for discrete LPTV systems. First, the state-space realization in the Fourier-lifted form of discrete LPTV system is constructed by representing periodic matrices in exponentially modulated periodic (EMP) Fourier series. By using Laguerre functions to expand the transfer function of the resulting Fourier-lifted system, the corresponding model order reduction algorithm is developed. Furthermore, the proposed algorithm is used to reduce the discrete LPTV system in the standard-lifted form. Theoretical analysis indicates that the transfer functions of both reduced order systems can match a certain number of moments. Finally, two numerical examples are given to verify the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Transactions of the Institute of Measurement & Control is the property of Sage Publications, Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1177/0142331220949733
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        Text: English
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      Pagination:
        PageCount: 9
        StartPage: 3281
    Subjects:
      – SubjectFull: Time-varying systems
        Type: general
      – SubjectFull: Discrete systems
        Type: general
      – SubjectFull: Fourier series
        Type: general
      – SubjectFull: Algorithms
        Type: general
      – SubjectFull: Transfer functions
        Type: general
      – SubjectFull: Order
        Type: general
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      – TitleFull: Model order reduction based on discrete-time Laguerre functions for discrete linear periodic time-varying systems.
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            NameFull: Sun, Li-Li
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            – D: 01
              M: 12
              Text: Dec2020
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              Y: 2020
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