Geodesic
Nonlinear Contractive Model Predictive Control via Polytopic Robust Controllable Sets
Journal of convex analysis, Tome 15 (2008) no. 4, pp. 905-917.

Voir la notice de l'article provenant de la source Heldermann Verlag

A general framework for computing polytopic robust controllable sets of constrained nonlinear uncertain discrete-time systems as well as controlling such complex systems based on the computed polytopic robust controllable sets is introduced in this paper. The resulting one-step control approach turns out to be a robust model predictive control scheme with feasible unit control horizon and contractive constraint. The solvers of set inversion and constrained minimax optimization via interval analysis are applied to compute robust controllable sets and one-step control inputs in a reliable way. The computed robust controllable sets are unions of boxes and polytope geometry is applied to approximate a union of boxes innerly by one polytope.
Classification : 65G40, 93B05, 93B51
Mots-clés : Nonlinear discrete-time systems, model predictive control, robust controllable sets, interval analysis, polytope geometry 
@article{JCA_2008_15_4_JCA_2008_15_4_a13,
     author = {J. Wan and J. Veh{\'\i} and N. Luo},
     title = {Nonlinear {Contractive} {Model} {Predictive} {Control} via {Polytopic} {Robust} {Controllable} {Sets}},
     journal = {Journal of convex analysis},
     pages = {905--917},
     publisher = {mathdoc},
     volume = {15},
     number = {4},
     year = {2008},
     url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a13/}
}
TY  - JOUR
AU  - J. Wan
AU  - J. Vehí
AU  - N. Luo
TI  - Nonlinear Contractive Model Predictive Control via Polytopic Robust Controllable Sets
JO  - Journal of convex analysis
PY  - 2008
SP  - 905
EP  - 917
VL  - 15
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a13/
ID  - JCA_2008_15_4_JCA_2008_15_4_a13
ER  - 
%0 Journal Article
%A J. Wan
%A J. Vehí
%A N. Luo
%T Nonlinear Contractive Model Predictive Control via Polytopic Robust Controllable Sets
%J Journal of convex analysis
%D 2008
%P 905-917
%V 15
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a13/
%F JCA_2008_15_4_JCA_2008_15_4_a13
J. Wan; J. Vehí; N. Luo. Nonlinear Contractive Model Predictive Control via Polytopic Robust Controllable Sets. Journal of convex analysis, Tome 15 (2008) no. 4, pp. 905-917. http://geodesic.mathdoc.fr/item/JCA_2008_15_4_JCA_2008_15_4_a13/