Reliable state space upper bounds for the peak structured singular value

Author

Sparks, A.G. ; Bernstein, Dennis S.

Author_Institution

Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA

Volume

3

fYear

1995

fDate

21-23 Jun 1995

Firstpage

2419

Abstract

A state space method for computing upper bounds for the peak of the structured singular value over frequency for both real and complex uncertainties is presented. These bounds are based on the positivity and Popov criteria for one-sided, sector-bounded and for norm-bounded, block-structured linear uncertainty. These criteria are restated and used to derive upper bounds for the peak structured singular value by equating the feasibility of a linear matrix inequality which involves a plant state space realization to the strict positive realness of a transfer function. Numerical examples we given to illustrate these upper bounds

Keywords

Popov criterion; frequency-domain analysis; linear systems; optimisation; singular value decomposition; stability; state-space methods; transfer functions; uncertain systems; Popov criteria; frequency domain bounds; linear matrix inequality; linear uncertainty; peak structured singular value; positivity; state space; strict positive realness; transfer function; upper bounds; Frequency domain analysis; Frequency response; Linear matrix inequalities; Parametric statistics; Robustness; State-space methods; Testing; Transfer functions; Uncertainty; Upper bound;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, Proceedings of the 1995

Conference_Location

Seattle, WA

Print_ISBN

0-7803-2445-5

Type

conf

DOI

10.1109/ACC.1995.531407

Filename

531407