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

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Mahata S., Herencsar N., ALAGÖZ B. B., YEROĞLU C.

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, vol.25, no.2, pp.803-821, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 2
  • Publication Date: 2022
  • Doi Number: 10.1007/s13540-022-00014-6
  • Journal Name: FRACTIONAL CALCULUS AND APPLIED ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.803-821
  • Keywords: Fractional-order system (primary), Commensurate system, F-domain, Model order reduction, Optimization, Reduced order model, Stability, MODEL-REDUCTION, FOPID CONTROLLERS, APPROXIMATION, OPTIMIZATION
  • Inonu University Affiliated: Yes

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.