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Notes on integral performance indices in fractional-order control systems

Tavazoei, M. S ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jprocont.2009.09.005
  3. Publisher: 2010
  4. Abstract:
  5. Integral performance indices as quantitative measures of the performance of a system are commonly used to evaluate the performance of designed control systems. In this paper, it is pointed out that due to existence of non-exponential modes in the step response of a fractional-order control system having zero steady state error, integral performance indices of such a system may be infinite. According to this point, some simple conditions are derived to guarantee the finiteness of different integral performance indices in a class of fractional-order control systems. Finally, some numerical examples are presented to show the applicability of the analytical achievements of the paper
  6. Keywords:
  7. Fractional-order controller ; Fractional-order system ; IAE ; Integral performance index ; ISE ; ITAE ; Exponential modes ; Fractional-order controllers ; Fractional-order systems ; Numerical example ; Order control ; Performance indices ; Quantitative measures ; Zero steady state error ; Control theory ; Controllers
  8. Source: Journal of Process Control ; Volume 20, Issue 3 , 2010 , Pages 285-291 ; 09591524 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S095915240900167X