DocumentCode
3110181
Title
Nonlinear optimal control: approximations via moments and LMI-relaxations
Author
Lasserre, Jean B. ; Prieur, Christophe ; Henrion, Didier
Author_Institution
LASSCNRS, 7 Avenue du Colonel Roche, 31077 Toulouse Cédex 4, France. lasserre@lass.fr
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
1648
Lastpage
1653
Abstract
We consider the class of nonlinear optimal control problems with all data (differentail equation, state and control constraints, cost) being polynomials. We provide a simple hierarchy of LMI-relaxations whose optimal values form a nondecreasing sequence of lower bounds on the optimal value. Preliminary results show that good approximations are obtained with few moments.
Keywords
Boundary value problems; Cost function; Differential equations; Linear programming; Nonlinear equations; Optimal control; Polynomials; Testing; Upper bound; Veins;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN
0-7803-9567-0
Type
conf
DOI
10.1109/CDC.2005.1582395
Filename
1582395
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