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Model predictive and random batch methods for a guiding problem
Virtualconference
Authors : Zuazua, Enrique (Author of the conference)
CIRM (Publisher )
93B52 - Feedback control
93D20 - Asymptotic stability
49N75 - Pursuit and evasion games in calculus of variations
Additional resources :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Enrique_ZUAZUA.pdf
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 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
Additional resources :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Enrique_ZUAZUA.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/04/2021 Conference Date : 22/03/2021 Subseries : Research talks arXiv category : Optimization and Control Mathematical Area(s) : Control Theory & Optimization Format : MP4 (.mp4) - HD Video Time : 00:38:30 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-03-22_Zuazua.mp4 
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Information on the Event
Event Title : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et AnalyseEvent Organizers : Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine Dates : 22/03/2021 - 26/03/2021 Event Year : 2021 Event URL : https://www.chairejeanmorlet.com/2355.html
Citation Data
DOI : 10.24350/CIRM.V.19735903Cite this video as: 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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