Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-11T01:56:58.920Z Has data issue: false hasContentIssue false
  • English
  • Français

Automated Mobile Robots under the Influence of Random Disturbances*

Published online by Cambridge University Press:  09 March 2009

M. -O. Hongler
M. -O. Hongler
Affiliation:
Dept. of Theoretical Physics, University of Geneva, CH-1211 Geneva 4 (Switzerland)
Get access Rights & Permissions [Opens in a new window]

Summary

The dynamics of sensors operated devices such as Automated Mobile Robots and more generally automated target seeking devices is studied in presence of noise. We introduce a simple and analytically tractable class of dynamics which permits to classify qualitatively and somehow quantitatively also the approach to the targets when fluctuations corrupt the ideal trajectories. Our model constitute a first evaluation of the feasibility of an efficient approach when the parameters of the model (statistics of the noise, lengths of the path and progressing steps and heading velocity) are known.

Keywords

Automated target-seekingStochastic equationsDiffusion processesAccess timeConfusion circlePrecision circle
Type
Article
Information
Robotica , Volume 9 , Issue 2 , April 1991 , pp. 139 - 143
Copyright
Copyright © Cambridge University Press 1991

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Autonomous Mobile Robots (The Robotic Institute of the Carnegie Mellon University Technical report, 1985).Google Scholar
2.Crowley, J.L., “Navigation for an intelligent mobile robot” IEEE J. Robotics and Automation 1, 31–41 and references therein (1985).CrossRefGoogle Scholar
3.Kendall, D.G., “Pole seeking Brownian motion and bird navigation”. J. Royal Stat. Soc. B36, 365–417 (1974).Google Scholar
4.Gardiner, C.W., Handbook of Stochastic Method for Physics. Chemistry and the Natural Sciences. Springer (1981).Google Scholar
5.Karlin, S. and Taylor, H.M., A Second Course in Stochastic Processes (Acad. Press New York, 1981)., See in particular Chap. 15.Google Scholar