DocumentCode :
1190117
Title :
Rational matrix GCDs and the design of squaring-down compensators-a state-space theory
Author :
Le, V.X. ; Safonov, Michael G.
Volume :
37
Issue :
3
fYear :
1992
fDate :
3/1/1992 12:00:00 AM
Firstpage :
384
Lastpage :
392
Abstract :
A state-space construction for rational matrix greatest common divisors (GCDs) of rational transfer matrices is given. It is shown how the GCD results can be used to solve the problem of designing stable minimum-phase squaring-down compensators for multi-variable plants. One application is a direct state-space construction for such compensators and a state-space solution to `fat-plant´ H-infinity control problems. The results make use of the concepts of strongly observable systems and maximally observable systems and build upon the concepts introduced in the state-space GCD extraction results for polynomial matrices of L.M. Silverman and P. Van Dooren (1979)
Keywords :
compensation; matrix algebra; multivariable control systems; state-space methods; H control; fat-plant H-infinity control; maximally observable systems; multi-variable plants; rational matrix greatest common divisors; squaring-down compensators; stable minimum phase compensators; state-space theory; strongly observable systems; Aerospace testing; Bandwidth; Chaotic communication; Detectors; Electrons; Extraterrestrial measurements; Quantization; Radar detection; Sensor fusion; Sensor systems;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/9.119644
Filename :
119644
Link To Document :
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