Directional stability radius: a stability analysis tool for uncertain polynomial systems

Author

Kawabata, Keishi ; Mori, Takehiro ; Kuroe, Yasuaki

Author_Institution

Dept. of Electron. & Inf. Sci., Kyoto Inst. of Technol., Japan

Volume

48

Issue

6

fYear

2003

fDate

6/1/2003 12:00:00 AM

Firstpage

1012

Lastpage

1015

Abstract

Coefficients of characteristic polynomials for stable parametrically uncertain systems are allowed to perturb to some extent for stability. Stability radius is a useful tool to assess the allowance of the stability for the systems. To enhance its usefulness, we modify stability radius so that it takes into account of given restricted perturbations, which we call directional stability radius. For an application, we show shifted-Hurwitz stability conditions and a stability analysis method for interval polynomial systems using the directional stability radii.

Keywords

control system analysis; polynomials; stability criteria; uncertain systems; characteristic polynomial coefficients; directional stability radii; directional stability radius; interval polynomial systems; shifted-Hurwitz stability conditions; stability analysis tool; stable parametrically uncertain systems; uncertain polynomial systems; Computational efficiency; Costs; Information science; Polynomials; Proposals; Stability analysis; Testing; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2003.812785

Filename

1205195