Realizations of uncertain systems and formal power series

Author

Beck, Carolyn ; Doyle, John

Author_Institution

Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA

Volume

2

fYear

1995

fDate

21-23 Jun 1995

Firstpage

1481

Abstract

Rational functions of several noncommuting indeterminates arise naturally in robust control when studying systems with structured uncertainty. Linear fractional transformations (LFTs) provide a convenient way of obtaining realizations of such systems and a complete realization theory of LFTs is emerging. This paper establishes connections between a minimal LFT realization and minimal realizations of a formal power series, which have been studied extensively in a variety of disciplines. The result is a fairly complete generalization of standard minimal realization theory for linear systems to the formal power series and LFT setting

Keywords

linear systems; robust control; series (mathematics); transforms; uncertain systems; formal power series; linear fractional transformations; linear systems; minimal realization theory; rational functions; robust control; uncertain systems; Computer science; Linear systems; Mathematics; Nonlinear systems; Power system modeling; Reduced order systems; Robust control; Testing; Uncertain systems; Uncertainty;

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.1995.520997

Filename

520997