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http://dx.doi.org/10.5391/JKIIS.2003.13.6.729

Chaotic behavior analysis in the mobile robot of embedding some chaotic equation with obstacle  

Bae, Youngchul (Division of electronic communication and electrical engineering of Yosu National University)
Kim, Juwan (Division of electronic communication and electrical engineering of Yosu National University)
Kim, Yigon (Division of electronic communication and electrical engineering of Yosu National University)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.13, no.6, 2003 , pp. 729-736 More about this Journal
Abstract
In this paper, we propose that the chaotic behavior analysis in the mobile robot of embedding some chaotic such as Chua`s equation, Arnold equation with obstacle. In order to analysis of chaotic behavior in the mobile robot, we apply not only qualitative analysis such as time-series, embedding phase plane, but also quantitative analysis such as Lyapunov exponent In the mobile robot with obstacle. We consider that there are two type of obstacle, one is fixed obstacle and the other is VDP obstacle which have an unstable limit cycle. In the VDP obstacles case, we only assume that all obstacles in the chaos trajectory surface in which robot workspace has an unstable limit cycle with Van der Pol equation.
Keywords
Chaos; Arnold equation; mobile robot; Lyapunov Exponent; Chua′s equation;
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