Motion planning in dynamic uncertain environment using probability navigation function

Shlomi Hacohen, Shraga Shoval, Nir Shvalb

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

1 Scopus citations

Abstract

This paper introduces a novel motion planning algorithm for stochastic dynamic scenarios. We extend Rimon and Koditechek's concept of a navigation function to such scenarios. Such a function can be used when considering spherical and start-shaped geometries for the robot, obstacles and work space. Our main idea is to take into account both the probabilities and the geometries of the objects acting in the work space by formulating a probability density function ptot that encloses both. We consider of ptot as a metric between the robot and the obstacles, minimizing it in the course of the motion. Additionally, we define a safe probability value for collision δ. By analytically investigating ptot defined in Rn we find a convenient approximation for a safe distance pδ in the sense of that metric. Lastly, we present some experiments applying our algorithm in various scenarios.

Original languageEnglish
Title of host publication2014 IEEE 28th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479959877
DOIs
StatePublished - 2014
Event2014 28th IEEE Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014 - Eilat, Israel
Duration: 3 Dec 20145 Dec 2014

Publication series

Name2014 IEEE 28th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014

Conference

Conference2014 28th IEEE Convention of Electrical and Electronics Engineers in Israel, IEEEI 2014
Country/TerritoryIsrael
CityEilat
Period3/12/145/12/14

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