Set-Membership Method for Discrete Optimal Control
International audience The objective of this paper is twofold: to propose a new approach for computing Ct0,tf 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 t0, and, using that work and given a cost functi...
Published in: | Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics |
---|---|
Main Authors: | , , , |
Other Authors: | , |
Format: | Conference Object |
Language: | English |
Published: |
HAL CCSD
2013
|
Subjects: | |
Online Access: | https://hal.science/hal-01113457 https://hal.science/hal-01113457/document https://hal.science/hal-01113457/file/icinco2013.pdf https://doi.org/10.5220/0004458001930200 |
id |
ftunivangershal:oai:HAL:hal-01113457v1 |
---|---|
record_format |
openpolar |
spelling |
ftunivangershal:oai:HAL:hal-01113457v1 2024-05-19T07:42:48+00:00 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) Reykjavik, Iceland 2013 https://hal.science/hal-01113457 https://hal.science/hal-01113457/document https://hal.science/hal-01113457/file/icinco2013.pdf https://doi.org/10.5220/0004458001930200 en eng HAL CCSD info:eu-repo/semantics/altIdentifier/doi/10.5220/0004458001930200 hal-01113457 https://hal.science/hal-01113457 https://hal.science/hal-01113457/document https://hal.science/hal-01113457/file/icinco2013.pdf doi:10.5220/0004458001930200 OKINA: ua3083 info:eu-repo/semantics/OpenAccess 10th International Conference on Informatics in Control, Automation and Robotics, ICINCO https://hal.science/hal-01113457 10th International Conference on Informatics in Control, Automation and Robotics, ICINCO, 2013, Reykjavik, Iceland. 2013, ⟨10.5220/0004458001930200⟩ [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] info:eu-repo/semantics/conferenceObject Conference poster 2013 ftunivangershal https://doi.org/10.5220/0004458001930200 2024-04-19T00:50:01Z International audience The objective of this paper is twofold: to propose a new approach for computing Ct0,tf 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 t0, and, using that work and given a cost function, to estimate an enclosure of the optimal control vector from an initial state of Ct0 ,t f to the target. Whereas classical methods do not provide any guaranteed on the set of state vectors that belong to the Ct0 ,t f , interval analysis and guarantee numerical integration allow us to avoid any indetermination. We present an algorithm able to provide guaranteed characterizations of the inner C− t0,tf and an the outer C+ of C , such that C− ⊆ C ⊆ C+ . In addition to that, the presented algorithm is t0,tf t0,tf t0,tf t0,tf t0,tf extended in order enclose the optimal control vector of the system, form an initial state to the target, by a set of trajectories. Conference Object Iceland Portail des publications scientifiques de l’Université d’Angers (HAL) Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics 193 200 |
institution |
Open Polar |
collection |
Portail des publications scientifiques de l’Université d’Angers (HAL) |
op_collection_id |
ftunivangershal |
language |
English |
topic |
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] |
spellingShingle |
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] Guyonneau, Rémy Lagrange, Sébastien Hardouin, Laurent Lhommeau, Mehdi Set-Membership Method for Discrete Optimal Control |
topic_facet |
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] |
description |
International audience The objective of this paper is twofold: to propose a new approach for computing Ct0,tf 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 t0, and, using that work and given a cost function, to estimate an enclosure of the optimal control vector from an initial state of Ct0 ,t f to the target. Whereas classical methods do not provide any guaranteed on the set of state vectors that belong to the Ct0 ,t f , interval analysis and guarantee numerical integration allow us to avoid any indetermination. We present an algorithm able to provide guaranteed characterizations of the inner C− t0,tf and an the outer C+ of C , such that C− ⊆ C ⊆ C+ . In addition to that, the presented algorithm is t0,tf t0,tf t0,tf t0,tf t0,tf extended in order enclose the optimal control vector of the system, form an initial state to the target, by a set of 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.science/hal-01113457 https://hal.science/hal-01113457/document https://hal.science/hal-01113457/file/icinco2013.pdf https://doi.org/10.5220/0004458001930200 |
op_coverage |
Reykjavik, Iceland |
genre |
Iceland |
genre_facet |
Iceland |
op_source |
10th International Conference on Informatics in Control, Automation and Robotics, ICINCO https://hal.science/hal-01113457 10th International Conference on Informatics in Control, Automation and Robotics, ICINCO, 2013, Reykjavik, Iceland. 2013, ⟨10.5220/0004458001930200⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.5220/0004458001930200 hal-01113457 https://hal.science/hal-01113457 https://hal.science/hal-01113457/document https://hal.science/hal-01113457/file/icinco2013.pdf doi:10.5220/0004458001930200 OKINA: ua3083 |
op_rights |
info:eu-repo/semantics/OpenAccess |
op_doi |
https://doi.org/10.5220/0004458001930200 |
container_title |
Proceedings of the 10th International Conference on Informatics in Control, Automation and Robotics |
container_start_page |
193 |
op_container_end_page |
200 |
_version_ |
1799482497572012032 |