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

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 i...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on automatic control 1980-06, Vol.25 (3), p.399-412
Main Authors: Desoer, C., Ruey-Wen Liu, Murray, J., Saeks, R.
Format: Article
Language:English
Subjects:
Computer science
Contracts
Control system synthesis
Control systems
Feedback
Frequency domain analysis
Linear systems
Polynomials
System analysis and design
Transfer functions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1980.1102374