Optimal F-domain stabilization technique for reduction of commensurate fractional-order SISO systems

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, Stability

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

Document type

Peer-reviewed

Document version

Accepted version

Date of access to the full text

2023-03-26

Language of document

en

Document licence

(C) Springer