DocumentCode
2584278
Title
An algebraic framework for quadratic invariance
Author
Lessard, Laurent ; Lall, Sanjay
Author_Institution
Dept. of Aeronaut. & Astronaut., Stanford Univ., Stanford, CA, USA
fYear
2010
fDate
15-17 Dec. 2010
Firstpage
2698
Lastpage
2703
Abstract
In this paper, we present a general algebraic framework for analysing decentralized control systems. We consider systems defined by linear fractional functions over a commutative ring. This provides a general algebraic formulation and proof of the main results of quadratic invariance, as well as naturally covering rational multivariable systems, systems with delays, and multidimensional systems. The approach extends to the extended class of internally quadratically invariant systems.
Keywords
algebra; control system analysis; decentralised control; delay systems; linear systems; multidimensional systems; multivariable control systems; algebraic framework; commutative ring; decentralized control system analysis; delay; internally quadratically invariant system; linear fractional function; multidimensional system; quadratic invariance; rational multivariable system; Additives; Aerospace electronics; Delay; Modules (abstract algebra); Polynomials; Transfer functions; USA Councils;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location
Atlanta, GA
ISSN
0743-1546
Print_ISBN
978-1-4244-7745-6
Type
conf
DOI
10.1109/CDC.2010.5718172
Filename
5718172
Link To Document