Title :
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
fDate :
31 Mar-2 Apr 1996
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;
Conference_Titel :
System Theory, 1996., Proceedings of the Twenty-Eighth Southeastern Symposium on
Conference_Location :
Baton Rouge, LA
Print_ISBN :
0-8186-7352-4
DOI :
10.1109/SSST.1996.493554
