A new perspective on computing robust stability margins for complex parametric uncertainties

Author

Basker, V.R. ; Latchman, H.A. ; Mahon, H.M. ; Crisalle, O.D.

Author_Institution

Dept. of Chem. Eng., Florida Univ., Gainesville, FL, USA

Volume

4

fYear

1998

fDate

21-26 Jun 1998

Firstpage

2299

Abstract

A simple approach to the problem of finding robust stability margins for SISO systems with complex parametric uncertainties is proposed. The technique is based on the critical direction theory, and is an alternative to existing methods such as those based on structured singular value formulations. The uncertainties considered belong to highly structured domains satisfying a radial convexity condition. Explicit and exact stability conditions are derived using intuitive geometric arguments. The approach recovers previous results given in the literature for the special case of disk-bounded affine complex uncertainties. Examples are given for rectangular and elliptical uncertainty domains

Keywords

frequency response; polynomials; robust control; uncertain systems; SISO systems; complex parametric uncertainties; critical direction theory; disk-bounded affine complex uncertainties; elliptical uncertainty domains; highly structured domains; radial convexity condition; rectangular uncertainty domains; robust stability margins; Chemical engineering; Feedback; Frequency response; Polynomials; Robust stability; Transfer functions; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1998. Proceedings of the 1998

Conference_Location

Philadelphia, PA

ISSN

0743-1619

Print_ISBN

0-7803-4530-4

Type

conf

DOI

10.1109/ACC.1998.703039

Filename

703039