Geodesic
Optimal impulsive control of delay systems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 4, pp. 767-779

Voir la notice de l'article provenant de la source Numdam

MR Zbl

In this paper, we solve an optimal control problem using the calculus of variation. The system under consideration is a switched autonomous delay system that undergoes jumps at the switching times. The control variables are the instants when the switches occur, and a set of scalars which determine the jump amplitudes. Optimality conditions involving analytic expressions for the partial derivatives of a given cost function with respect to the control variables are derived using the calculus of variation. A locally optimal impulsive control strategy can then be found using a numerical gradient descent algorithm.

DOI : 10.1051/cocv:2008009
Classification : 49K15, 49K25
Keywords: optimal control, impulse control, switched systems, delay systems, calculus of variation 
Delmotte, Florent; Verriest, Erik I.; Egerstedt, Magnus. Optimal impulsive control of delay systems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 14 (2008) no. 4, pp. 767-779. doi: 10.1051/cocv:2008009
@article{COCV_2008__14_4_767_0,
     author = {Delmotte, Florent and Verriest, Erik I. and Egerstedt, Magnus},
     title = {Optimal impulsive control of delay systems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {767--779},
     year = {2008},
     publisher = {EDP-Sciences},
     volume = {14},
     number = {4},
     doi = {10.1051/cocv:2008009},
     mrnumber = {2451795},
     zbl = {1148.49017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008009/}
}
TY  - JOUR
AU  - Delmotte, Florent
AU  - Verriest, Erik I.
AU  - Egerstedt, Magnus
TI  - Optimal impulsive control of delay systems
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2008
SP  - 767
EP  - 779
VL  - 14
IS  - 4
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008009/
DO  - 10.1051/cocv:2008009
LA  - en
ID  - COCV_2008__14_4_767_0
ER  - 
%0 Journal Article
%A Delmotte, Florent
%A Verriest, Erik I.
%A Egerstedt, Magnus
%T Optimal impulsive control of delay systems
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2008
%P 767-779
%V 14
%N 4
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2008009/
%R 10.1051/cocv:2008009
%G en
%F COCV_2008__14_4_767_0

Cité par Sources :