Auguste Bourgois, A. Chaabouni, A. Rauh, L. Jaulin
{"title":"Proving the Stability of the Rolling Navigation","authors":"Auguste Bourgois, A. Chaabouni, A. Rauh, L. Jaulin","doi":"10.14232/actacyb.295941","DOIUrl":null,"url":null,"abstract":"In this paper, we propose to study the stability of a navigation method that allows a robot to move in an unstructured environment without compass by measuring a scalar function φ which only depends on the position. The principle is to ask the robot to roll along an isovalue of φ . Using an interval method, we prove the stability of our closed loop system in the special case where φ is linear.","PeriodicalId":187125,"journal":{"name":"Acta Cybern.","volume":"14 4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Cybern.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14232/actacyb.295941","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we propose to study the stability of a navigation method that allows a robot to move in an unstructured environment without compass by measuring a scalar function φ which only depends on the position. The principle is to ask the robot to roll along an isovalue of φ . Using an interval method, we prove the stability of our closed loop system in the special case where φ is linear.