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  4. Hybrid Quadratic Programming - Pullback Bundle Dynamical Systems Control
 
conference paper

Hybrid Quadratic Programming - Pullback Bundle Dynamical Systems Control

Fichera, Bernardo  
•
Billard, Aude  orcid-logo
January 1, 2023
Robotics Research, Isrr 2022
18th International Symposium of Robotics Research (ISRR)

Dynamical System (DS)-based closed-loop control is a simple and effective way to generate reactive motion policies that well generalize to the robotic workspace, while retaining stability guarantees. Lately the formalism has been expanded in order to handle arbitrary geometry curved spaces, namely manifolds, beyond the standard flat Euclidean space. Despite the many different ways proposed to handle DS on manifolds, it is still unclear how to apply such structures on real robotic systems. In this preliminary study, we propose a way to combine modern optimal control techniques with a geometry-based formulation of DS. The advantage of such approach is two fold. First, it yields a torque-based control for compliant and adaptive motions; second, it generates dynamical systems consistent with the controlled system's dynamics. The salient point of the approach is that the complexity of designing a proper constrained-based optimal control problem, to ensure that dynamics move on a manifold while avoiding obstacles or self-collisions, is "outsourced" to the geometric DS. Constraints are implicitly embedded into the structure of the space in which the DS evolves. The optimal control, on the other hand, provides a torque-based control interface, and ensures dynamical consistency of the generated output. The whole can be achieved with minimal computational overhead since most of the computational complexity is delegated to the closed-form geometric DS.

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Type
conference paper
DOI
10.1007/978-3-031-25555-7_26
Web of Science ID

WOS:001008380600026

Author(s)
Fichera, Bernardo  
Billard, Aude  orcid-logo
Date Issued

2023-01-01

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG

Publisher place

Cham

Published in
Robotics Research, Isrr 2022
ISBN of the book

978-3-031-25557-1

978-3-031-25555-7

978-3-031-25554-0

Series title/Series vol.

Springer Proceedings in Advanced Robotics

Volume

27

Start page

387

End page

394

Subjects

Robotics

•

dynamical system

•

differential geometry

•

quadratic programming

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LASA  
Event nameEvent placeEvent date
18th International Symposium of Robotics Research (ISRR)

Geneva, SWITZERLAND

Sep 25-30, 2022

Available on Infoscience
July 31, 2023
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/199421
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