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 :
