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, cilt.25, sa.2, ss.803-821, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 2
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s13540-022-00014-6
  • Dergi Adı: FRACTIONAL CALCULUS AND APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.803-821
  • Anahtar Kelimeler: Fractional-order system (primary), Commensurate system, F-domain, Model order reduction, Optimization, Reduced order model, Stability, MODEL-REDUCTION, FOPID CONTROLLERS, APPROXIMATION, OPTIMIZATION
  • İnönü Üniversitesi Adresli: Evet

Özet

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.