English
Model predictive and random batch methods for a guiding problem
Virtualconference
Auteurs : Zuazua, Enrique (Auteur de la conférence)
CIRM (Editeur )
93B52 - Feedback control
93D20 - Asymptotic stability
49N75 - Pursuit and evasion games in calculus of variations
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Enrique_ZUAZUA.pdf
CIRM (Editeur )
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Résumé :
We model, simulate and control the guiding problem for a herd of evaders under the action of repulsive drivers. The problem is formulated in an optimal control framework, where the drivers (controls) aim to guide the evaders (states) to a desired region of the Euclidean space.
Classical control methods allow to build coordinated strategies so that the drivers successfully drive the evaders to the desired final destination.
But the computational cost quickly becomes unfeasible when the number of interacting agents is large.
We present a method that combines the Random Batch Method (RBM) and Model Predictive Control (MPC) to significantly reduce the computational cost without compromising the efficiency of the control strategy.
This talk is based on joint work with Dongnam Ko, from the Catholic University of Korea.
Codes MSC : Classical control methods allow to build coordinated strategies so that the drivers successfully drive the evaders to the desired final destination.
But the computational cost quickly becomes unfeasible when the number of interacting agents is large.
We present a method that combines the Random Batch Method (RBM) and Model Predictive Control (MPC) to significantly reduce the computational cost without compromising the efficiency of the control strategy.
This talk is based on joint work with Dongnam Ko, from the Catholic University of Korea.
93B52 - Feedback control
93D20 - Asymptotic stability
49N75 - Pursuit and evasion games in calculus of variations
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Enrique_ZUAZUA.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 09/04/2021 Date de Captation : 22/03/2021 Sous Collection : Research talks Catégorie arXiv : Optimization and Control Domaine(s) : Théorie du Contrôle & Optimisation Format : MP4 (.mp4) - HD Durée : 00:38:30 Audience : Chercheurs Download : https://videos.cirm-math.fr/2021-03-22_Zuazua.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et AnalyseOrganisateurs de la Rencontre : Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine Dates : 22/03/2021 - 26/03/2021 Année de la rencontre : 2021 URL de la Rencontre : https://www.chairejeanmorlet.com/2355.html
Données de citation
DOI : 10.24350/CIRM.V.19735903Citer cette vidéo: Zuazua, Enrique (2021). Model predictive and random batch methods for a guiding problem. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19735903 URI : http://dx.doi.org/10.24350/CIRM.V.19735903 |
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