DocumentCode
808738
Title
Optimality of linear control systems
Author
Kreindler, Eliezer ; Jameson, Antony
Author_Institution
Grumman Aerospace Corporation, Bethpage, NY, USA
Volume
17
Issue
3
fYear
1972
fDate
6/1/1972 12:00:00 AM
Firstpage
349
Lastpage
351
Abstract
It is shown that every linear system with nondynamic feedback is optimal with respect to a quadratic performance index that includes a cross-product term between the state and control. If the index is further generalized to include derivatives of the control, every (sufficiently smooth) linear finite-dimensional dynamic feedback and feedforward control system is optimal. Methods of constructing all such indices are indicated, and some practical implications are discussed.
Keywords
Inverse optimal control problem; Linear systems, time-varying continuous-time; Control systems; Eigenvalues and eigenfunctions; Equations; Matrices; Optimal control; Optimization methods;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1972.1099985
Filename
1099985
Link To Document