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Robustness in fractional proportional-integral-derivative-based closed-loop systems

Akbari Moornani, K ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1049/iet-cta.2009.0313
  3. Abstract:
  4. Robustness of a fractional proportional-integral-derivative (PID)-based control system is investigated. At first the largest pathwise connected region subset of a box in three-dimensional space of the parameters of the model is determined such that the closed-loop system is bounded-input bounded-output stable for any point inside it. Then a value that represents the size (in a specified sense) of the calculated region in the first stage and can be considered as a margin for the robustness of the closed-loop system is computed. Furthermore, lower and upper frequency bounds required in depiction of boundaries of the region and computing the mentioned margin are provided. Some special cases in two-dimensional space of the model parameters are investigated as well. To illustrate the results, a numerical example is presented
  5. Keywords:
  6. Connected region ; Input-bounded ; Model parameters ; Numerical example ; Proportional integral derivatives ; Three dimensional space ; Two dimensional spaces ; Closed loop systems ; Robustness (control systems) ; Three dimensional ; Two term control systems ; Proportional control systems
  7. Source: IET Control Theory and Applications ; Volume 4, Issue 10 , Volume 4, Issue 10 , 2010 , Pages 1933-1944 ; 17518644 (ISSN)
  8. URL: http://ieeexplore.ieee.org/document/5611716