Loading...

A note on the stability of fractional order systems

Tavazoei, M. S ; Sharif University of Technology | 2009

803 Viewed
  1. Type of Document: Article
  2. DOI: 10.1016/j.matcom.2008.07.003
  3. Publisher: 2009
  4. Abstract:
  5. In this paper, a new approach is suggested to investigate stability in a family of fractional order linear time invariant systems with order between 1 and 2. The proposed method relies on finding a linear ordinary system that possesses the same stability property as the fractional order system. In this way, instead of performing the stability analysis on the fractional order systems, the analysis is converted into the domain of ordinary systems which is well established and well understood. As a useful consequence, we have extended two general tests for robust stability check of ordinary systems to fractional order systems. © 2008 IMACS
  6. Keywords:
  7. Fractional order LTI system ; Interval systems ; Control theory ; Invariance ; Linear systems ; Stability ; Do-mains ; Fractional orders ; Linear Time Invariant systems ; New approaches ; Robust stability ; Robust stability checks ; Stability analyses ; Stability properties ; System stability
  8. Source: Mathematics and Computers in Simulation ; Volume 79, Issue 5 , January , 2009 , Pages 1566-1576 ; 03784754 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0378475408002437