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Motion analysis of a spherical mobile robot

Published online by Cambridge University Press:  01 May 2009

Vrunda A. Joshi  and
Ravi N. Banavar
Vrunda A. Joshi
Affiliation:
Systems and Control Engineering, Indian Institute of Technology Bombay, Mumbai 400076, India.
Ravi N. Banavar*
Affiliation:
Systems and Control Engineering, Indian Institute of Technology Bombay, Mumbai 400076, India.
*
*Corresponding author. E-mail: banavar@sc.iitb.ac.in
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Summary

A path planning algorithm for a spherical mobile robot rolling on a plane is presented in this paper. The robot is actuated by two internal rotors that are fixed to the shafts of two motors. These are in turn mounted on the spherical shell in mutually orthogonal directions. The system is nonholonomic due to the nonintegrable nature of the rolling constraints. Further, the system cannot be converted into a chained form, and neither is it nilpotent nor differentially flat. So existing techniques of nonholonomic path planning cannot be applied directly to the system. The approach presented here uses simple geometrical notions and provides numerically efficient and intuitive solutions. We also present the dynamic model and derive motor torques for execution of the algorithm. Along the proposed paths, we achieve dynamic decoupling of the variables making the algorithm more suitable for practical applications.

Keywords

Spherical mobile robotNonholonomic systemsPath planning of a mobile robot
Type
Article
Information
Robotica , Volume 27 , Issue 3 , May 2009 , pp. 343 - 353
Copyright
Copyright © Cambridge University Press 2008

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