English

Architecture Singularity Distance Computations for Linear Pentapods

Robotics 2023-12-16 v1 Algebraic Geometry

Abstract

The kinematic/robotic community is not only interested in measuring the closeness of a given robot configuration to its next singular one but also in a geometric meaningful index evaluating how far the robot design is away from being architecturally singular. Such an architecture singularity distance, which can be used by engineers as a criterion within the design process, is presented for a certain class of parallel manipulators of Stewart-Gough type; namely so-called linear pentapods. Geometrically the architecture singular designs are well-understood and can be subclassified into several cases, which allows to solve the optimization problem of computing the closest architecture singular design to a given linear pentapod with algorithms from numerical algebraic geometry.

Keywords

Cite

@article{arxiv.2312.09160,
  title  = {Architecture Singularity Distance Computations for Linear Pentapods},
  author = {Aditya Kapilavai and Georg Nawratil},
  journal= {arXiv preprint arXiv:2312.09160},
  year   = {2023}
}

Comments

14 pages 7 figures

R2 v1 2026-06-28T13:51:20.765Z