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Robust stability check for fractional PID-based control systems

Akbari Moornani, K ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1177/0142331212440477
  3. Publisher: 2013
  4. Abstract:
  5. This paper considers a closed-loop system consisting of a fractional/integer order system and a fractional PID controller. Assuming that the uncertain coefficients of the fractional PID controller lie in some known intervals independently (i.e. that controller is a member of an interval family), the paper presents some easy to use theorems to investigate the robust bounded-input bounded-output stability of the resultant closed-loop system. Moreover, a finite frequency bound required in drawing the related graphs has also been provided. Finally, some numerical examples are presented to illustrate the results
  6. Keywords:
  7. Fractional pid controllers ; BIBO stability ; Fractional PID controller ; Non-fragile controller ; Robustness ; Zero exclusion condition ; Fractional order system ; Fractional-order systems ; Nonfragile controllers ; Closed loop systems ; Robustness (control systems) ; Electric control equipment
  8. Source: Transactions of the Institute of Measurement and Control ; Volume 35, Issue 2 , 2013 , Pages 236-246 ; 01423312 (ISSN)
  9. URL: http://tim.sagepub.com/content/35/2/236