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Robust stability check for fractional PID-based control systems
, Article Transactions of the Institute of Measurement and Control ; Volume 35, Issue 2 , 2013 , Pages 236-246 ; 01423312 (ISSN) ; Haeri, M ; Sharif University of Technology
2013
Abstract
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