Computation of the Value Set of Fractional Order Uncertain Polynomials: A 2q Convex Parpolygonal Approach

SENOL B., YEROĞLU C.

IEEE International Conference on Control Applications (CCA) Part of 6th IEEE Multi-Conference on Systems and Control (IEEE MSC), Dubrovnik, Croatia, 3 - 05 October 2012, pp.686-691, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • Doi Number: 10.1109/cca.2012.6402466
  • City: Dubrovnik
  • Country: Croatia
  • Page Numbers: pp.686-691
  • Inonu University Affiliated: Yes

Abstract

Fractional order models are frequently used to describe real processes especially in the last decades. Uncertainties in this processes mostly yield to some bad results and brings computational complexity. So this comes up as a new problem waiting to be analyzed. In this paper, a 2q convex parpolygonal approach is applied to the computation of value set of fractional order uncertain polynomials to reduce the computational complexity. The analysis steps are given and the results are shown via graphical examples. It is shown that this approach is an effective way of analyzing fractional order uncertain polynomials and can be used to investigate the stability.