Explicit predictive control laws. On the geometry of feasible domains and the presence of nonlinearities.
Sorin Olaru, Didier Dumur, and Simona Dobre. 4th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2007 4th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2007, page 70-77. Angers France, (May 9, 2007)
Abstract
This paper is dealing with the receding horizon optimal control techniques having as main goal the reduction of the computational effort inherent to the use of on-line optimization routines. The off-line construction of the explicit solution for the associated multiparametric optimization problems is advocated with a special interest in the presence of nonlinearities in the constraints description. The proposed approach is a geometrical one, based on the topology of the feasible domain. The resulting piecewise linear state feedback control law has to accept a certain degree of suboptimality, as it is the case for local linearizations or decompositions over families of parametric functions. In the presented techniques, this is directly related to the distribution of the extreme points on the frontier of the feasible domain.
4th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2007 4th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2007
year
2007
month
05
day
09
pages
70-77
audience
internationale
affiliation
SUPELEC-Campus Gif - SUPELEC - Centre de recherche en automatique de Nancy - CRAN - CNRS : UMR7039 - Université Henri Poincaré - Nancy I - Institut National Polytechnique de Lorraine - INPL
%0 Conference Paper
%1 OLARU:2007:HAL-00168601:1
%A Sorin Olaru,
%A Didier Dumur,
%A Simona Dobre,
%B 4th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2007 4th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2007
%C Angers France
%D 2007
%E INSTICC,
%K control control; explicit laws parameterized polyhedra; {P}redictive
%P 70-77
%T Explicit predictive control laws. On the geometry of feasible domains and the presence of nonlinearities.
%U http://hal.archives-ouvertes.fr/hal-00168601/en/
%X This paper is dealing with the receding horizon optimal control techniques having as main goal the reduction of the computational effort inherent to the use of on-line optimization routines. The off-line construction of the explicit solution for the associated multiparametric optimization problems is advocated with a special interest in the presence of nonlinearities in the constraints description. The proposed approach is a geometrical one, based on the topology of the feasible domain. The resulting piecewise linear state feedback control law has to accept a certain degree of suboptimality, as it is the case for local linearizations or decompositions over families of parametric functions. In the presented techniques, this is directly related to the distribution of the extreme points on the frontier of the feasible domain.
@inproceedings{OLARU:2007:HAL-00168601:1,
abstract = {{T}his paper is dealing with the receding horizon optimal control techniques having as main goal the reduction of the computational effort inherent to the use of on-line optimization routines. {T}he off-line construction of the explicit solution for the associated multiparametric optimization problems is advocated with a special interest in the presence of nonlinearities in the constraints description. {T}he proposed approach is a geometrical one, based on the topology of the feasible domain. {T}he resulting piecewise linear state feedback control law has to accept a certain degree of suboptimality, as it is the case for local linearizations or decompositions over families of parametric functions. {I}n the presented techniques, this is directly related to the distribution of the extreme points on the frontier of the feasible domain.},
added-at = {2008-08-19T16:47:47.000+0200},
address = {{A}ngers {F}rance },
affiliation = {{SUPELEC}-{C}ampus {G}if - {SUPELEC} - {C}entre de recherche en automatique de {N}ancy - {CRAN} - {CNRS} : {UMR}7039 - {U}niversit{\'e} {H}enri {P}oincar{\'e} - {N}ancy {I} - {I}nstitut {N}ational {P}olytechnique de {L}orraine - {INPL}},
audience = {internationale},
author = {{S}orin {O}laru and {D}idier {D}umur and {S}imona {D}obre},
biburl = {https://www.bibsonomy.org/bibtex/21a9020212318339e6ec121313b3bfb12/olaru},
booktitle = {4th {I}nternational {C}onference on {I}nformatics in {C}ontrol, {A}utomation and {R}obotics, {ICINCO} 2007 4th {I}nternational {C}onference on {I}nformatics in {C}ontrol, {A}utomation and {R}obotics, {ICINCO} 2007 },
day = 09,
editor = {{INSTICC}},
interhash = {b38410680ea90eaa713c7bd4124d4d91},
intrahash = {1a9020212318339e6ec121313b3bfb12},
keywords = {control control; explicit laws parameterized polyhedra; {P}redictive},
language = {{A}nglais},
month = {05},
pages = {70-77 },
timestamp = {2008-08-19T16:47:56.000+0200},
title = {{E}xplicit predictive control laws. {O}n the geometry of feasible domains and the presence of nonlinearities.},
url = {http://hal.archives-ouvertes.fr/hal-00168601/en/},
year = 2007
}