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Differential-Algebraic Equation Control Barrier Function for Flexible Link Manipulator

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Abstract

This paper presents a control barrier function
(CBF) for systems described by differential-algebraic equations
and applies the method to guarantee the safety of a two-link
flexible-link manipulator. The two main contributions of the
paper are: a) an extension of CBFs to systems governed by
differential-algebraic equations; b) a framework for simula-
tion of flexible-link robots in a floating frame of reference
formulation (FFRF) finite element method (FEM). Numerical
simulations demonstrate the minimally invasive safety control
of a flexible two-link manipulator with position constraints
through CBF quadratic programming without converting the
differential-algebraic equations to a control-affine system.
Original languageEnglish
Title of host publication2024 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS)
PublisherIEEE
Publication date18. Oct 2024
Pages12408-12413
ISBN (Electronic)979-8-3503-7770-5
DOIs
Publication statusPublished - 18. Oct 2024
Event2024 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2024 - Abu Dhabi, United Arab Emirates
Duration: 14. Oct 202418. Oct 2024

Conference

Conference2024 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2024
Country/TerritoryUnited Arab Emirates
CityAbu Dhabi
Period14/10/202418/10/2024
SeriesProceedings - IEEE International Conference on Intelligent Robots and Systems
ISSN2153-0858

Funding

This work has been carried out within the framework of the EUROfusion Consortium, funded by the European Union via the Euratom Research and Training Programme (Grant Agreement No 101052200 — EUROfusion). Views and opinions expressed are however those of the authors only and do not necessarily reflect those of the European Union or the European Commission. Neither the European Union nor the European Commission can be held responsible for them.

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