A Method for Stabilization of Ground Robot Path Controlled by Airborne Autopilot with Time Delay

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The paper addresses the problem of visual navigation of ground robots using a camera positioned at a certain elevation above the confined area. Also, the methods of the stability theory of delay differential equations are used in the study of an actual engineering problem of a ground robot autonomous path. We give a description of autopilot for the stabilization of the ground robot autonomous motion according to desirable path. Indeed, large time delay exists in obtaining by autopilot current information about robot position and orientation, because of big data processing by vision-based (visual) navigation system. Despite this fact, we can prove that autopilot can guarantee a stable desirable path. We demonstrate how to create an appropriate controlling signal for the described information time delay and calculate control parameters for case of polygonal chain path. This path consists of linear motion along with line segments and rotations in vertices.

Original languageEnglish
Title of host publicationFunctional Differential Equations and Applications - FDEA-2019
EditorsAlexander Domoshnitsky, Alexander Rasin, Seshadev Padhi
Pages49-70
Number of pages22
DOIs
StatePublished - 2021
Event7th International Conference on Functional Differential Equations and Applications, FDEA 2019 - Ariel, Israel
Duration: 22 Aug 201927 Aug 2019

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume379
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference7th International Conference on Functional Differential Equations and Applications, FDEA 2019
Country/TerritoryIsrael
CityAriel
Period22/08/1927/08/19

Keywords

  • Airborne control
  • Autopilot
  • Differential equations
  • Ground robots
  • Stability
  • Tethered platform
  • Time delay
  • Vision-based navigation
  • Visual navigation

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