International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007

Wednesday Evening

Session WE1: Algebraic Methods


Chair: Nicos Karcanias - United Kingdom
Co-chair: Petr Husek - Czech Republic
Room: Assunção
2007-10-17
From 16:00 to 18:00
Stability Analysis of Uncertain Polynomials with Polynomic Parameter Dependency
Petr Husek
Contact: Petr Husek - Czech Republic
16:40-17:00
Abstract:
This paper deals with robust stability analysis of polynomials where uncertain coefficients are polynomic functions of the second order of interval parameters. The method consists in determination of a convex hull overbounding the value set of such a family and using Zero Exlusion Theorem. An arbitrary stability region can be chosen. Presented method states only sufficient condition of robust stability due to nonconvexity of the value set. Both computational and graphical way of using this method are possible. The computational efficiency of presented method and more general method based on Bernstein algorithm is compared. Copyright © 2007 IFAC.