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Modeling and control of a spherical rolling robot: a decoupled dynamics approach

Published online by Cambridge University Press:  08 August 2011

Erkan Kayacan,
Zeki Y. Bayraktaroglu and
Wouter Saeys
Erkan Kayacan*
Affiliation:
BIOSYST—MeBioS, Faculty of Bioscience Engineering, KU Leuven, Kasteelpark Arenberg 30, B-3001 Leuven, Belgium. E-mail: wouter.saeys@biw.kuleuven.be
Zeki Y. Bayraktaroglu
Affiliation:
Department of Mechanical Engineering, Istanbul Technical University, 34437 Istanbul, Turkey. E-mail: zeki.bayraktaroglu@itu.edu.tr
Wouter Saeys
Affiliation:
BIOSYST—MeBioS, Faculty of Bioscience Engineering, KU Leuven, Kasteelpark Arenberg 30, B-3001 Leuven, Belgium. E-mail: wouter.saeys@biw.kuleuven.be
*
*Corresponding author. E-mail: erkan.kayacan.@biw.kuleuven.be
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Summary

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This paper presents the results of a study on the dynamical modeling, analysis, and control of a spherical rolling robot. The rolling mechanism consists of a 2-DOF pendulum located inside a spherical shell with freedom to rotate about the transverse and longitudinal axis. The kinematics of the model has been investigated through the classical methods with rotation matrices. Dynamic modeling of the system is based on the Euler–Lagrange formalism. Nonholonomic and highly nonlinear equations of motion have then been decomposed into two simpler subsystems through the decoupled dynamics approach. A feedback linearization loop with fuzzy controllers has been designed for the control of the decoupled dynamics. Rolling of the controlled mechanism over linear and curvilinear trajectories has been simulated by using the proposed decoupled dynamical model and feedback controllers. Analysis of radius of curvature over curvilinear trajectories has also been investigated.

Keywords

Spherical rolling robotDecoupled dynamicsFeedback linearization

Information

Type
Articles
Information
Robotica , Volume 30 , Issue 4 , July 2012, pp. 671 - 680
Copyright
Copyright © Cambridge University Press 2011

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