Saved in:
Bibliographic Details
Main Authors: Lanza, Lukas, Braun, Philipp
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.19607
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866916499496632320
author Lanza, Lukas
Braun, Philipp
author_facet Lanza, Lukas
Braun, Philipp
contents Safe obstacle avoidance and target set stabilization for nonlinear systems using reactive feedback control is under consideration. Based only on local information and by considering virtual dynamics, a safe path is generated online. The control law for the virtual dynamics is combined with a feedback controller for the dynamics of interest, where Lyapunov arguments and forward invariance are used to ensure that the state of the system remains in a vicinity of the path. To allow for discrete decisions in the avoidance controller design, the closed-loop dynamics are formulated using the hybrid systems framework. The results are illustrated by a numerical example for unicycle dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2411_19607
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Lyapunov based dynamic controller designs for reach-and-avoid problems
Lanza, Lukas
Braun, Philipp
Systems and Control
Dynamical Systems
Optimization and Control
Safe obstacle avoidance and target set stabilization for nonlinear systems using reactive feedback control is under consideration. Based only on local information and by considering virtual dynamics, a safe path is generated online. The control law for the virtual dynamics is combined with a feedback controller for the dynamics of interest, where Lyapunov arguments and forward invariance are used to ensure that the state of the system remains in a vicinity of the path. To allow for discrete decisions in the avoidance controller design, the closed-loop dynamics are formulated using the hybrid systems framework. The results are illustrated by a numerical example for unicycle dynamics.
title Lyapunov based dynamic controller designs for reach-and-avoid problems
topic Systems and Control
Dynamical Systems
Optimization and Control
url https://arxiv.org/abs/2411.19607