Reduced-order approximation of fractional-order controllers by keeping robust stability and robust performance
- Author
- Vlad Mihaly, Mircea Susça, Isabela Roxana Birs (UGent) and Petru Dobra
- Organization
- Project
- Abstract
- Recently, the fractional-order element has been integrated into the Robust Control Framework considering the Oustaloup method. As such, the resulting infinite impulse response approximation manages to satisfy the robust stability and the robust performance criteria according to a given uncertainty block. However, the recommended approximation order for each fractional-order element is the number of decades of the frequency range where the approximation is valid, which can lead to a high-order controller. The current paper describes an optimization-based technique to find a low-order approximation of a fractional-order controller such that the resulting controller maintains the robust stability and robust performance as well. A set of numerical experiments have also been performed in order to illustrate the proposed method.
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01HQX2HKWYCVNEVSXWP0A26FX5
- MLA
- Mihaly, Vlad, et al. “Reduced-Order Approximation of Fractional-Order Controllers by Keeping Robust Stability and Robust Performance.” 2023 AMERICAN CONTROL CONFERENCE, ACC, IEEE, 2023, pp. 2301–06, doi:10.23919/ACC55779.2023.10156398.
- APA
- Mihaly, V., Susça, M., Birs, I. R., & Dobra, P. (2023). Reduced-order approximation of fractional-order controllers by keeping robust stability and robust performance. 2023 AMERICAN CONTROL CONFERENCE, ACC, 2301–2306. https://doi.org/10.23919/ACC55779.2023.10156398
- Chicago author-date
- Mihaly, Vlad, Mircea Susça, Isabela Roxana Birs, and Petru Dobra. 2023. “Reduced-Order Approximation of Fractional-Order Controllers by Keeping Robust Stability and Robust Performance.” In 2023 AMERICAN CONTROL CONFERENCE, ACC, 2301–6. IEEE. https://doi.org/10.23919/ACC55779.2023.10156398.
- Chicago author-date (all authors)
- Mihaly, Vlad, Mircea Susça, Isabela Roxana Birs, and Petru Dobra. 2023. “Reduced-Order Approximation of Fractional-Order Controllers by Keeping Robust Stability and Robust Performance.” In 2023 AMERICAN CONTROL CONFERENCE, ACC, 2301–2306. IEEE. doi:10.23919/ACC55779.2023.10156398.
- Vancouver
- 1.Mihaly V, Susça M, Birs IR, Dobra P. Reduced-order approximation of fractional-order controllers by keeping robust stability and robust performance. In: 2023 AMERICAN CONTROL CONFERENCE, ACC. IEEE; 2023. p. 2301–6.
- IEEE
- [1]V. Mihaly, M. Susça, I. R. Birs, and P. Dobra, “Reduced-order approximation of fractional-order controllers by keeping robust stability and robust performance,” in 2023 AMERICAN CONTROL CONFERENCE, ACC, San Diego, CA, 2023, pp. 2301–2306.
@inproceedings{01HQX2HKWYCVNEVSXWP0A26FX5,
abstract = {{Recently, the fractional-order element has been integrated into the Robust Control Framework considering the Oustaloup method. As such, the resulting infinite impulse response approximation manages to satisfy the robust stability and the robust performance criteria according to a given uncertainty block. However, the recommended approximation order for each fractional-order element is the number of decades of the frequency range where the approximation is valid, which can lead to a high-order controller. The current paper describes an optimization-based technique to find a low-order approximation of a fractional-order controller such that the resulting controller maintains the robust stability and robust performance as well. A set of numerical experiments have also been performed in order to illustrate the proposed method.}},
author = {{Mihaly, Vlad and Susça, Mircea and Birs, Isabela Roxana and Dobra, Petru}},
booktitle = {{2023 AMERICAN CONTROL CONFERENCE, ACC}},
isbn = {{9798350328066}},
issn = {{0743-1619}},
language = {{eng}},
location = {{San Diego, CA}},
pages = {{2301--2306}},
publisher = {{IEEE}},
title = {{Reduced-order approximation of fractional-order controllers by keeping robust stability and robust performance}},
url = {{http://doi.org/10.23919/ACC55779.2023.10156398}},
year = {{2023}},
}
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