Minimal realization and approximation of commensurate linear fractional-order systems via Loewner matrix method

Autor: Lihong Meng, Xu Yang, Umair Zulfiqar, Xin Du

Publikováno v: Mathematical Biosciences and Engineering, Vol 18, Iss 2, Pp 1063-1076 (2021)

In this paper we propose a data driven realization and model order reduction (MOR) for linear fractional-order system (FoS) by applying the Loewner-matrix method. Given the interpolation data which obtained by sampling the transfer function of a FoS,

Externí odkaz: https://doaj.org/article/82a609a8e7d843de889ab75eeacd38e3

From Data to Reduced-order Models via Generalized Balanced Truncation

Autor: Azka M. Burohman, Bart Besselink, Jacquelien M. A. Scherpen, M. Kanat Camlibel

Publikováno v: 2023 SIAM Conference on Computational Science and Engineering(CSE23)
IEEE Transactions on Automatic Control. IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC

This paper proposes a data-driven model reduction approach on the basis of noisy data with a known noise model. Firstly, the concept of data reduction is introduced. In particular, we show that the set of reduced-order models obtained by applying a P

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8a526800e7b717f386ce636eb00abf89
https://doi.org/10.1109/tac.2023.3238856

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Minimal realization and approximation of commensurate linear fractional-order systems via Loewner matrix method

Autor: Xu Yang, Umair Zulfiqar, Lihong Meng, Xin Du

Publikováno v: Mathematical Biosciences and Engineering, Vol 18, Iss 2, Pp 1063-1076 (2021)

In this paper we propose a data driven realization and model order reduction (MOR) for linear fractional-order system (FoS) by applying the Loewner-matrix method. Given the interpolation data which obtained by sampling the transfer function of a FoS,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bfb35ac0665a09e53d8aa703ad621690
http://www.aimspress.com/article/doi/10.3934/mbe.2021058?viewType=HTML

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