English

Safe Robot Navigation in Cluttered Environments using Invariant Ellipsoids and a Reference Governor

Systems and Control 2020-05-15 v1 Robotics Systems and Control

Abstract

This paper considers the problem of safe autonomous navigation in unknown environments, relying on local obstacle sensing. We consider a control-affine nonlinear robot system subject to bounded input noise and rely on feedback linearization to determine ellipsoid output bounds on the closed-loop robot trajectory under stabilizing control. A virtual governor system is developed to adaptively track a desired navigation path, while relying on the robot trajectory bounds to slow down if safety is endangered and speed up otherwise. The main contribution is the derivation of theoretical guarantees for safe nonlinear system path-following control and its application to autonomous robot navigation in unknown environments.

Keywords

Cite

@article{arxiv.2005.06694,
  title  = {Safe Robot Navigation in Cluttered Environments using Invariant Ellipsoids and a Reference Governor},
  author = {Zhichao Li and Thai Duong and Nikolay Atanasov},
  journal= {arXiv preprint arXiv:2005.06694},
  year   = {2020}
}
R2 v1 2026-06-23T15:32:03.286Z