Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et Analyse

Collection Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et Analyse

Organizer(s) Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine

Date(s) 22/03/2021 - 26/03/2021

linked URL https://www.chairejeanmorlet.com/2355.html

00:00:00 / 00:00:00

14 19

Model predictive and random batch methods for a guiding problem

By Enrique Zuazua

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.

Information about the video

Date of recording 22/03/2021
Date of publication 09/04/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19735903
Cite this video Zuazua, Enrique (22/03/2021). Model predictive and random batch methods for a guiding problem. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19735903
URL https://dx.doi.org/10.24350/CIRM.V.19735903

Domain(s)

Optimization and Control

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Enrique_ZUAZUA.pdf

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