Methods for computing the time response of fractional-order systems

Atherton D. P., TAN N., Yuce A.

IET CONTROL THEORY AND APPLICATIONS, cilt.9, sa.6, ss.817-830, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 6
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1049/iet-cta.2014.0354
  • Dergi Adı: IET CONTROL THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.817-830
  • İnönü Üniversitesi Adresli: Evet

Özet

There is considerable interest in the study of fractional-order systems but obtaining accurate time domain responses is a difficult problem. This is because all methods reported on to date use approximations for the fractional derivative both for analytical-based computations and more relevantly in simulation studies. This means unlike in integer systems exact simulations are not available and thus for considering non-linear problems and comparisons with measured data no exact solution reference exists. In this study, the authors provide a major breakthrough for this situation by developing methods which allow the exact computation of the time responses of fractional-order systems.