DocumentCode
1552393
Title
Linear nonquadratic optimal control
Author
Shamma, Jeff S. ; Xiong, Dapeng
Author_Institution
Dept. of Aerosp. Eng. & Eng. Mech., Texas Univ., Austin, TX, USA
Volume
42
Issue
6
fYear
1997
fDate
6/1/1997 12:00:00 AM
Firstpage
875
Lastpage
879
Abstract
We consider the optimization of nonquadratic measures of the transient response. We present a computational implementation of dynamic programming recursions to solve finite-horizon problems. In the limit, the finite-horizon performance converges to the infinite-horizon performance. We provide conditions based on finite-horizon computations which only assure that a receding horizon implementation of the finite-horizon optimal control is stabilizing and within a specified tolerance of the infinite-horizon performance
Keywords
discrete time systems; dynamic programming; linear systems; optimal control; stability; transient response; dynamic programming recursions; finite-horizon problems; infinite-horizon performance; linear nonquadratic optimal control; nonquadratic measures; receding horizon implementation; transient response; Control system analysis; Control systems; Dynamic programming; Feedback; Multidimensional systems; Nonlinear control systems; Nonlinear systems; Optimal control; Polynomials; Uncertainty;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.587349
Filename
587349
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