DocumentCode :
853840
Title :
Singular systems: A new approach in the time domain
Author :
Zhou, Zheng ; Shayman, Mark A. ; Tarn, Tzhy-Jong
Author_Institution :
Beijing Institute of Information and Control, Beijing, China
Volume :
32
Issue :
1
fYear :
1987
fDate :
1/1/1987 12:00:00 AM
Firstpage :
42
Lastpage :
50
Abstract :
A new approach in the time domain is developed for the study of singular linear systems of the form 
with 
singular. Central to the approach is the fundamental triple 
with α a real number satisfying det 
. Controllability and observability matrices are expressed in terms of the fundamental triple. New tests for impulse controllability and impulse observability are also established. Feedback control problems including pole placement, decoupling, and disturbance localization are studied by use of a modified proportional and derivative feedback of the state in the form of 
.
with singular. Central to the approach is the fundamental triple with α a real number satisfying det . Controllability and observability matrices are expressed in terms of the fundamental triple. New tests for impulse controllability and impulse observability are also established. Feedback control problems including pole placement, decoupling, and disturbance localization are studied by use of a modified proportional and derivative feedback of the state in the form of .Keywords :
Linear systems; Singular systems; State-feedback, linear systems; Transient analysis; Circuits; Control theory; Controllability; Feedback control; Frequency; Impulse testing; Large-scale systems; Linear systems; Observability; State feedback;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1987.1104430
Filename :
1104430
Link To Document :
