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Overshoot in the step response of fractional-order control systems

Tavazoei, M. S ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jprocont.2011.10.005
  3. Abstract:
  4. In this paper, a sufficient condition for existence of an overshoot in the step response of fractional-order systems is presented. Based on this condition, it can be shown that the existence of an overshoot in the step responses of some classes of fractional-order systems (for example, the class of fractional-order systems having commensurate orders between 1 and 2) is unavoidable. To show the usefulness of the obtained condition, this condition is applied to prove some results on the time response analysis of fractional-order control systems
  5. Keywords:
  6. Integral performance index ; Fractional-order controllers ; Fractional-order systems ; Overshoot ; Performance indices ; Sufficient conditions ; Time response ; Control system analysis ; Control systems ; Step response
  7. Source: Journal of Process Control ; Volume 22, Issue 1 , January , 2012 , Pages 90-94 ; 09591524 (ISSN)
  8. URL: http://www.sciencedirect.com/science/article/pii/S0959152411001983