Set-Membership Method for Discrete Optimal Control
International audience The objective of this paper is twofold. First we propose a new approach for computing C t 0 ,t f the subset of initial states of a system from which there exists at least one trajectory reaching a target T in a finite time t f from a time t 0. This is done considering a discre...
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ftccsdartic:oai:HAL:hal-00874162v1 2023-05-15T16:51:14+02:00 Set-Membership Method for Discrete Optimal Control Guyonneau, Rémy Lagrange, Sébastien Hardouin, Laurent Lhommeau, Mehdi Laboratoire d'Ingéniérie des Systèmes Automatisés (LISA) Université d'Angers (UA) Reykjavík, Iceland 2013-07-29 https://hal.archives-ouvertes.fr/hal-00874162 https://hal.archives-ouvertes.fr/hal-00874162/document https://hal.archives-ouvertes.fr/hal-00874162/file/ICINCO2013.pdf en eng HAL CCSD hal-00874162 https://hal.archives-ouvertes.fr/hal-00874162 https://hal.archives-ouvertes.fr/hal-00874162/document https://hal.archives-ouvertes.fr/hal-00874162/file/ICINCO2013.pdf info:eu-repo/semantics/OpenAccess Proceedings of ICINCO 2013 10th International Conference on Informatics in Control, Automation and Robotics https://hal.archives-ouvertes.fr/hal-00874162 10th International Conference on Informatics in Control, Automation and Robotics, Jul 2013, Reykjavík, Iceland Non-Linear Systems Interval Analysis Guaranteed Numerical Integration Optimal control [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering info:eu-repo/semantics/conferenceObject Conference papers 2013 ftccsdartic 2021-10-24T00:04:57Z International audience The objective of this paper is twofold. First we propose a new approach for computing C t 0 ,t f the subset of initial states of a system from which there exists at least one trajectory reaching a target T in a finite time t f from a time t 0. This is done considering a discrete time t k and a control vector continuous over a time [t k−1 ,t k ]. Then, using the previously mentioned work and given a cost function, the objective is to estimate an enclosure of the discrete optimal control vector from an initial state of C t 0 ,t f to the target. Whereas classical methods do not provide any guaranty on the set of state vectors that belong to the C t 0 ,t f , interval analysis and guaranteed numerical integration allow us to avoid any indetermination. We present an algorithm able to provide guaranteed characterizations of the inner C − t 0 ,t f and an the outer C + t 0 ,t f of C t 0 ,t f , such that C − t 0 ,t f ⊆ C t 0 ,t f ⊆ C + t 0 ,t f. In addition to that, the presented algorithm is extended in order enclose the discrete optimal control vector of the system, form an initial state to the target, by a set of discrete trajectories. Conference Object Iceland Reykjavík Reykjavík Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) Reykjavík |
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Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
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ftccsdartic |
language |
English |
topic |
Non-Linear Systems Interval Analysis Guaranteed Numerical Integration Optimal control [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering |
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Non-Linear Systems Interval Analysis Guaranteed Numerical Integration Optimal control [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering Guyonneau, Rémy Lagrange, Sébastien Hardouin, Laurent Lhommeau, Mehdi Set-Membership Method for Discrete Optimal Control |
topic_facet |
Non-Linear Systems Interval Analysis Guaranteed Numerical Integration Optimal control [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering |
description |
International audience The objective of this paper is twofold. First we propose a new approach for computing C t 0 ,t f the subset of initial states of a system from which there exists at least one trajectory reaching a target T in a finite time t f from a time t 0. This is done considering a discrete time t k and a control vector continuous over a time [t k−1 ,t k ]. Then, using the previously mentioned work and given a cost function, the objective is to estimate an enclosure of the discrete optimal control vector from an initial state of C t 0 ,t f to the target. Whereas classical methods do not provide any guaranty on the set of state vectors that belong to the C t 0 ,t f , interval analysis and guaranteed numerical integration allow us to avoid any indetermination. We present an algorithm able to provide guaranteed characterizations of the inner C − t 0 ,t f and an the outer C + t 0 ,t f of C t 0 ,t f , such that C − t 0 ,t f ⊆ C t 0 ,t f ⊆ C + t 0 ,t f. In addition to that, the presented algorithm is extended in order enclose the discrete optimal control vector of the system, form an initial state to the target, by a set of discrete trajectories. |
author2 |
Laboratoire d'Ingéniérie des Systèmes Automatisés (LISA) Université d'Angers (UA) |
format |
Conference Object |
author |
Guyonneau, Rémy Lagrange, Sébastien Hardouin, Laurent Lhommeau, Mehdi |
author_facet |
Guyonneau, Rémy Lagrange, Sébastien Hardouin, Laurent Lhommeau, Mehdi |
author_sort |
Guyonneau, Rémy |
title |
Set-Membership Method for Discrete Optimal Control |
title_short |
Set-Membership Method for Discrete Optimal Control |
title_full |
Set-Membership Method for Discrete Optimal Control |
title_fullStr |
Set-Membership Method for Discrete Optimal Control |
title_full_unstemmed |
Set-Membership Method for Discrete Optimal Control |
title_sort |
set-membership method for discrete optimal control |
publisher |
HAL CCSD |
publishDate |
2013 |
url |
https://hal.archives-ouvertes.fr/hal-00874162 https://hal.archives-ouvertes.fr/hal-00874162/document https://hal.archives-ouvertes.fr/hal-00874162/file/ICINCO2013.pdf |
op_coverage |
Reykjavík, Iceland |
geographic |
Reykjavík |
geographic_facet |
Reykjavík |
genre |
Iceland Reykjavík Reykjavík |
genre_facet |
Iceland Reykjavík Reykjavík |
op_source |
Proceedings of ICINCO 2013 10th International Conference on Informatics in Control, Automation and Robotics https://hal.archives-ouvertes.fr/hal-00874162 10th International Conference on Informatics in Control, Automation and Robotics, Jul 2013, Reykjavík, Iceland |
op_relation |
hal-00874162 https://hal.archives-ouvertes.fr/hal-00874162 https://hal.archives-ouvertes.fr/hal-00874162/document https://hal.archives-ouvertes.fr/hal-00874162/file/ICINCO2013.pdf |
op_rights |
info:eu-repo/semantics/OpenAccess |
_version_ |
1766041343677693952 |