DocumentCode
830538
Title
An optimal control problem with design parameter variables
Author
Tamura, K. ; Ichikawa, K. ; Kamiya, M.
Author_Institution
Sophia University, Tokyo, Japan
Volume
24
Issue
5
fYear
1979
fDate
10/1/1979 12:00:00 AM
Firstpage
775
Lastpage
779
Abstract
An optimal control problem with control variable constraints, such as 
, is discussed in this paper. The constraint vector 
is also considered as a design parameter vector to be optimized. The gradient functions of the cost function with respect to , which are both theoretically and practically important for solving this class of optimal control problems, are principally studied. Discussed are the obtaining of the directional derivative and the derivation of both the subgradient and the gradient based on the former directional derivative.
, is discussed in this paper. The constraint vector is also considered as a design parameter vector to be optimized. The gradient functions of the cost function with respect to , which are both theoretically and practically important for solving this class of optimal control problems, are principally studied. Discussed are the obtaining of the directional derivative and the derivation of both the subgradient and the gradient based on the former directional derivative.Keywords
Nonlinear systems, continuous-time; Optimal control; Control systems; Cost function; Design optimization; Electronic switching systems; Equations; Mechanical engineering; Optimal control; Power supplies; Sensitivity analysis; Vectors;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1979.1102151
Filename
1102151
Link To Document