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Robust d-stability criterion for fractional order systems with uncertainties in both the coefficients and orders

Mohsenipour, R ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.23919/ACC.2018.8430892
  3. Abstract:
  4. This paper investigates the robust D-stability criterion of fractional order systems with parametric uncertainties. Uncertainties are considered in the both coefficients and orders of the fractional order systems. To this end, some bounds on the roots of fractional order polynomials are obtained, helping to examine the robust D-stability criterion. Then, by using the zero exclusion principle a necessary and sufficient criterion to check the robust D-stability is presented. The obtained results can be applied to fractional order systems of both commensurate and incommensurate orders. One numerical example is given to verify the results. © 2018 AACC
  5. Keywords:
  7. Source: 2018 Annual American Control Conference, ACC 2018, 27 June 2018 through 29 June 2018 ; Volume 2018-June , 2018 , Pages 4238-4242 ; 07431619 (ISSN) ; 9781538654286 (ISBN)
  8. URL: https://ieeexplore.ieee.org/document/8430892