DocumentCode :
842256
Title :
Descriptor variable systems and optimal state regulation
Author :
Cobb, Daniel
Author_Institution :
University of Toronto, Toronto, Ontario, Canada
Volume :
28
Issue :
5
fYear :
1983
fDate :
5/1/1983 12:00:00 AM
Firstpage :
601
Lastpage :
611
Abstract :
Linear systems of the form 
with 
singular are treated. It is desired to find a control which drives the system asymptotically to the origin, minimizing a quadratic cost functional. No restrictions are placed on initial conditions. The cost associated with the impulsive behavior of the system is examined as well as existence and uniqueness of the optimal control. Through a sequence of coordinate transformations it is proven that the optimal control can be found by solving a reduced order Riccati equation.
with singular are treated. It is desired to find a control which drives the system asymptotically to the origin, minimizing a quadratic cost functional. No restrictions are placed on initial conditions. The cost associated with the impulsive behavior of the system is examined as well as existence and uniqueness of the optimal control. Through a sequence of coordinate transformations it is proven that the optimal control can be found by solving a reduced order Riccati equation.Keywords :
Optimal control, linear systems; Singular systems; Automatic control; Control systems; Cost function; Gain; Helium; Optimal control; Regulators; Riccati equations; State feedback; Transient response;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1983.1103283
Filename :
1103283
Link To Document :
