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
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