Optimal F-domain stabilization technique for reduction of commensurate fractional-order SISO systems
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.
Keywords
Fractional-order system, Commensurate system, F-domain, Model order reduction, Optimization, Reduced order model, StabilityPersistent identifier
http://hdl.handle.net/11012/204049Document type
Peer reviewedDocument version
PostprintFulltext will be available on 26. 03. 2023
Source
Fractional Calculus and Applied Analysis. 2022, vol. 25, issue 2, p. 803-821.https://link.springer.com/article/10.1007/s13540-022-00014-6
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