Interval analysis application for stability margin computation of linear uncertain systems

Author

Kwon, Sung-il ; Cain, James T.

Author_Institution

Dept. of Electr. Eng., Pittsburgh Univ., PA, USA

fYear

1996

fDate

31 Mar-2 Apr 1996

Firstpage

492

Lastpage

496

Abstract

This paper presents a numerical method to compute the stability margin of a linear parametric uncertain system. For an admissible uncertainty set in the weighted l_∞ norm space, a branch and bound algorithm is proposed to obtain the stability margin. Bisection is performed to generate the nondecreasing sequence of the stability radii and the corresponding stability box. For each indeterminate box, feasibility is tested by solving an unconstrained optimization problem based on interval analysis. The algorithm is simple and efficient

Keywords

linear systems; robust control; uncertain systems; admissible uncertainty set; bisection; branch and bound algorithm; interval analysis; linear parametric uncertain system; nondecreasing sequence; numerical method; stability margin computation; stability radii; weighted l_∞ norm space; Linear matrix inequalities; Linear systems; Polynomials; Stability analysis; Stability criteria; State-space methods; Testing; Uncertain systems; Uncertainty; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

System Theory, 1996., Proceedings of the Twenty-Eighth Southeastern Symposium on

Conference_Location

Baton Rouge, LA

ISSN

0094-2898

Print_ISBN

0-8186-7352-4

Type

conf

DOI

10.1109/SSST.1996.493554

Filename

493554