Complex and real performance radii and their computation

Author

Hu, Ting-shu ; Qiu, Li

Author_Institution

Dept. of Electr. & Electron. Eng., Hong Kong Univ. of Sci. & Technol., Hong Kong

Volume

2

fYear

1996

fDate

11-13 Dec 1996

Firstpage

1851

Abstract

This paper considers the problem of robust performance of a linear time-invariant system in ℋ_∞ norm. The concepts of complex and real performance radii are introduced to describe the smallest size of dynamic or parametric perturbations to a feedback system that either destabilize the system or destroy a performance bound in certain closed loop transfer matrix of the system. An algorithm to compute the complex performance radius is given. For the real performance radius, a lower bound, which often turns out to be exact, is obtained

Keywords

Hermitian matrices; closed loop systems; feedback; linear systems; robust control; transfer function matrices; uncertain systems; ℋ_∞ norm; closed loop transfer matrix; complex performance radii; dynamic perturbations; feedback system; linear time-invariant system; parametric perturbations; performance bound; real performance radii; robust performance; Control systems; Councils; Feedback loop; Frequency; Iterative algorithms; Performance evaluation; Robust control; Robust stability; Robustness; Uncertain systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.572839

Filename

572839