Differential-Algebraic Equation Control Barrier Function for Flexible Link Manipulator

Younghwa Park*, Christoffer Sloth

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

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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
SeriesProceedings - IEEE International Conference on Intelligent Robots and Systems
ISSN2153-0858

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