DocumentCode :
866145
Title :
Optimum control of linear systems with a "Modified" energy constraint
Author :
Nahi, N.E.
Author_Institution :
University of Southern California, Los Angeles, CA, USA
Volume :
9
Issue :
2
fYear :
1964
fDate :
4/1/1964 12:00:00 AM
Firstpage :
137
Lastpage :
143
Abstract :
Linear control processes are considered under the following optimization criteria: 1) minimization of the terminal error and 2) minimization of the required time ( 
) to reach a desirable state. The constraint on the control vector 
is considered to be 
where 
is a positive definite matrix, and 
represents any given interval contained in the interval 
, and cj can be considered as the available energy during that interval. A condition of optimality has been obtained which can be used analytically. Furthermore, a numerical procedure is developed for determination of the optimum control vector.
) to reach a desirable state. The constraint on the control vector is considered to be where is a positive definite matrix, and represents any given interval contained in the interval , and cKeywords :
Linear systems, time-varying continuous-time; Optimal control; Constraint optimization; Control systems; Controllability; Differential equations; Error correction; Government; Linear systems; Process control; State-space methods; Vectors;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1964.1105662
Filename :
1105662
Link To Document :
