Nonholonomic robots navigation using linear navigation functions

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Scopus citations


In this paper we suggest a new navigation strategy for nonholonomic wheeled mobile robots. The method is based on linear navigation functions with exponential and deviation terms. These linear navigation functions are based on the kinematics equations and the geometry of the navigation problem, where the robot's orientation angle is a linear function of the visibility angle. Another control law is suggested for the robot's linear velocity. This approach allows driving the robot from an initial configuration to a desired final configuration. The robot's orientation angle depends on four different parameters that allow to change the robot path in real time. The navigation functions are combined with a collision avoidance algorithm to avoid obstacles. The approach is illustrated using various simulation examples.

Original languageEnglish (US)
Title of host publicationProceedings of the 2007 American Control Conference, ACC
Number of pages5
StatePublished - 2007
Event2007 American Control Conference, ACC - New York, NY, United States
Duration: Jul 9 2007Jul 13 2007

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Other2007 American Control Conference, ACC
Country/TerritoryUnited States
CityNew York, NY

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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