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Robustness margin in linear time invariant fractional order systems

Akbari Moornani, K ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.3182/20100915-3-IT-2017.00001
  3. Abstract:
  4. In this paper, the computation of robustness margin for linear time invariant fractional order systems is studied. For the definition of robustness margin, we employ the one introduced for polynomials (i.e. integer order) and extend it to fractional order functions. Using the well known concept of the value set and knowing its shape for the intended functions, this paper presents an easy way to obtain the robustness margin for fractional order systems. To illustrate the results, a numerical example is provided
  5. Keywords:
  6. Fractional order systems ; Real parametric uncertainties ; Stability robustness margin ; BIBO-stability ; Fractional-order systems ; LTI systems ; Real parametric uncertainty ; Stability robustness ; Value set ; Algebra ; Linear systems ; System stability ; Robustness (control systems)
  7. Source: IFAC Proceedings Volumes (IFAC-PapersOnline), 15 September 2010 through 17 September 2010 ; 2010 , Pages 198-203 ; 14746670 (ISSN) ; 9783902661838 (ISBN)
  8. URL: http://www.sciencedirect.com/science/article/pii/S1474667015383944