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  4. Follow the Clairvoyant: an Imitation Learning Approach to Optimal Control
 
conference paper

Follow the Clairvoyant: an Imitation Learning Approach to Optimal Control

Martin, Andrea  
•
Furieri, Luca  
•
Dorfler, Florian
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January 1, 2023
Ifac Papersonline
22nd World Congress of the International Federation of Automatic Control (IFAC)

We consider control of dynamical systems through the lens of competitive analysis. Most prior work in this area focuses on minimizing regret, that is, the loss relative to an ideal clairvoyant policy that has noncausal access to past, present, and future disturbances. Motivated by the observation that the optimal cost only provides coarse information about the ideal closed-loop behavior, we instead propose directly minimizing the tracking error relative to the optimal trajectories in hindsight, i. e., imitating the clairvoyant policy. By embracing a system level perspective, we present an efficient optimization-based approach for computing follow-the-clairvoyant (FTC) safe controllers. We prove that these attain minimal regret if no constraints are imposed on the noncausal benchmark. In addition, we present numerical experiments to show that our policy retains the hallmark of competitive algorithms of interpolating between classical H-2 and H-infinity control laws - while consistently outperforming regret minimization methods in constrained scenarios thanks to the superior ability to chase the clairvoyant. Copyright (c) 2023 The Authors.

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Type
conference paper
DOI
10.1016/j.ifacol.2023.10.1344
Web of Science ID

WOS:001196708400413

Author(s)
Martin, Andrea  
Furieri, Luca  
Dorfler, Florian
Lygeros, John
Ferrari-Trecate, Giancarlo
Date Issued

2023-01-01

Publisher

Elsevier

Publisher place

Amsterdam

Published in
Ifac Papersonline
Volume

56

Issue

2

Start page

2589

End page

2594

Subjects

Technology

•

Optimal Control

•

Robust Control

•

System Level Synthesis

•

Imitation Learning

•

Dynamic Regret

•

Regret Minimization

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
SCI-STI-GFT  
Event nameEvent placeEvent date
22nd World Congress of the International Federation of Automatic Control (IFAC)

Yokohama, JAPAN

JUL 09-14, 2023

FunderGrant Number

Swiss National Science Foundation under the NCCR Automation

51NF40-180545

Available on Infoscience
April 17, 2024
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/207356
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