DocumentCode
3311955
Title
An abstract linear programming approach to continuous-time LQ control for constrained systems
Author
Ohta, Yoshito
Author_Institution
Dept. of Appl. Math. & Phys., Kyoto Univ., Kyoto, Japan
fYear
2009
fDate
15-18 Dec. 2009
Firstpage
7949
Lastpage
7954
Abstract
This paper applies the abstract linear programming approach to the LQ control problem for continuous-time constrained systems. A gap-free dual problem is derived with the property that it can be approximated by finite dimensional convex programming. The structure of the dual variables is scrutinized. An example is included to show the limitation of control performance in the presence of right-half-plane zeros.
Keywords
continuous time systems; convex programming; linear programming; linear quadratic control; multidimensional systems; abstract linear programming; continuous-time LQ control; continuous-time constrained system; finite dimensional convex programming; gap-free dual problem; Context modeling; Control systems; Cost function; Linear programming; Mathematics; Optimal control; Predictive control; Predictive models; Time domain analysis; Windup;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location
Shanghai
ISSN
0191-2216
Print_ISBN
978-1-4244-3871-6
Electronic_ISBN
0191-2216
Type
conf
DOI
10.1109/CDC.2009.5400553
Filename
5400553
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