Feedback system design: The fractional representation approach to analysis and synthesis

Author

Desoer, C.A. ; Liu, Ruey Wen ; Murray, John ; Saeks, Richard

Author_Institution

University of California, Berkeley, CA, USA

Volume

25

Issue

3

fYear

1980

fDate

6/1/1980 12:00:00 AM

Firstpage

399

Lastpage

412

Abstract

The problem of designing a feedback system with prescribed properties is attacked via a fractional representation approach to feedback system analysis and synthesis. To this end we let $H$ denote a ring of operators with the prescribed properties and model a given plant as the ratio of two operators in $H$ . This, in turn, leads to a simplified test to determine whether or not a feedback system in which that plant is embedded has the prescribed properties and a complete characterization of those compensators which will "place" the feedback system in $H$ . The theory is formulated axiomatically to permit its application in a wide variety of system design problems and is extremely elementary in nature requiring no more than addition, multiplication, subtraction, and inversion for its derivation even in the most general settings.

Keywords

Feedback systems; Linear systems, time-invariant continuous-time; Computer science; Contracts; Control system synthesis; Control systems; Feedback; Frequency domain analysis; Linear systems; Polynomials; System analysis and design; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1980.1102374

Filename

1102374