Optimal F-domain stabilization technique for reduction of commensurate fractional-order SISO systems
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Date
2022-03-25
Authors
Mahata, Shibendu
Herencsár, Norbert
Alagoz, Baris Baykant
Yeroglu, Celaleddin
ORCID
0000-0002-9504-2275Advisor
Referee
Mark
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Publisher
Springer
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Abstract
This paper presents a new approach for reduction of commensurate fractional-order single-input-single-output systems. The minimization in the frequency response error of the reduced order model (ROM) relative to the original system is carried out in the F-plane. A constrained optimization technique is introduced to satisfy the angle criteria for F-domain stability of the proposed ROM. Significant improvements in both the time- and frequency-responses over the recently published literature are illustrated using several numerical examples.
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Citation
Fractional Calculus and Applied Analysis. 2022, vol. 25, issue 2, p. 803-821.
https://link.springer.com/article/10.1007/s13540-022-00014-6
https://link.springer.com/article/10.1007/s13540-022-00014-6
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Peer-reviewed
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Accepted version
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Language of document
en
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Defence
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(C) Springer