A Minimum-Jerk Approach to Handle Singularities in Virtual Fixtures

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Titel: A Minimum-Jerk Approach to Handle Singularities in Virtual Fixtures
Autoren: Giovanni Braglia, Sylvain Calinon, Luigi Biagiotti
Quelle: IEEE Robotics and Automation Letters. 9:10256-10263
Publication Status: Preprint
Verlagsinformationen: Institute of Electrical and Electronics Engineers (IEEE), 2024.
Publikationsjahr: 2024
Schlagwörter: FOS: Computer and information sciences, Computer Science - Robotics, Human-Robot Collaboration, Motion and Path Planning, Optimization and Optimal Control, Physical Human-Robot Interaction, Robotics (cs.RO)
Beschreibung: Implementing virtual fixtures in guiding tasks constrains the movement of the robot's end effector to specific curves within its workspace. However, incorporating guiding frameworks may encounter discontinuities when optimizing the reference target position to the nearest point relative to the current robot position. This article aims to give a geometric interpretation of such discontinuities, with specific reference to the commonly adopted Gauss-Newton algorithm. The effect of such discontinuities, defined as Euclidean Distance Singularities, is experimentally proved. We then propose a solution that is based on a Linear Quadratic Tracking problem with minimum jerk command, then compare and validate the performances of the proposed framework in two different human-robot interaction scenarios.
8 pages, 6 figures
Publikationsart: Article
Dateibeschreibung: application/pdf
ISSN: 2377-3774
DOI: 10.1109/lra.2024.3469814
DOI: 10.48550/arxiv.2405.03473
Zugangs-URL: http://arxiv.org/abs/2405.03473
Rights: CC BY
Dokumentencode: edsair.doi.dedup.....93b2dac41f9333af4c8bbe740ad841a9
Datenbank: OpenAIRE
Beschreibung
Abstract:Implementing virtual fixtures in guiding tasks constrains the movement of the robot's end effector to specific curves within its workspace. However, incorporating guiding frameworks may encounter discontinuities when optimizing the reference target position to the nearest point relative to the current robot position. This article aims to give a geometric interpretation of such discontinuities, with specific reference to the commonly adopted Gauss-Newton algorithm. The effect of such discontinuities, defined as Euclidean Distance Singularities, is experimentally proved. We then propose a solution that is based on a Linear Quadratic Tracking problem with minimum jerk command, then compare and validate the performances of the proposed framework in two different human-robot interaction scenarios.<br />8 pages, 6 figures
ISSN:23773774
DOI:10.1109/lra.2024.3469814