Frequency Response Computation of Fractional Order Interval Transfer Functions

Yeroglu C., OZYETKIN M. M., TAN N.

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, cilt.8, sa.5, ss.1009-1017, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 5
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s12555-010-0510-3
  • Dergi Adı: INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1009-1017
  • Anahtar Kelimeler: Bode envelope, fractional order interval transfer functions, nyquist envelope, parametric uncertainty, ROBUST STABILITY, CONTROLLERS, SYSTEMS, STABILIZATION, ALGORITHM, PI
  • İnönü Üniversitesi Adresli: Evet

Özet

The paper present extensions of some results developed in the parametric robust control to fractional order interval control systems (FOICS). Computation of the Bode and Nyquist envelopes of FOICS are studied. Using the geometric structure of the value set of fractional order interval polynomials (FOIP), a technique is proposed for computing the Bode and Nyquist envelopes of transfer functions whose numerator and denominator polynomials are fractional order polynomials with interval uncertainty structure. The results obtained are useful For the analysis and design of FOICS. Numerical examples are included to illustrate the benefit of the method presented.