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Robust task-space control of robot manipulators using differential equations for uncertainty estimation

Published online by Cambridge University Press:  08 September 2016

Alireza Izadbakhsh  and
Saeed Khorashadizadeh
Alireza Izadbakhsh*
Affiliation:
Department of Electrical Engineering, College of Engineering, Garmsar branch, Islamic Azad University, Garmsar, Iran
Saeed Khorashadizadeh
Affiliation:
Department of Electrical Engineering, Faculty of Engineering, University of Birjand, Birjand, Iran E-mail: s_khorashadi@yahoo.com
*
*Corresponding author. E-mail: izadbakhsh_alireza@hotmail.com
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Summary

Most control algorithms for rigid-link electrically driven robots are given in joint coordinates. However, since the task to be accomplished is expressed in Cartesian coordinates, inverse kinematics has to be computed in order to implement the control law. Alternatively, one can develop the necessary theory directly in workspace coordinates. This has the disadvantage of a more complex robot model. In this paper, a robust control scheme is given to achieve exact Cartesian tracking without the knowledge of the manipulator kinematics and dynamics, actuator dynamics and nor computing inverse kinematics. The control design procedure is based on a new form of universal approximation theory and using Stone–Weierstrass theorem, to mitigate structured and unstructured uncertainties associated with external disturbances and actuated manipulator dynamics. It has been assumed that the lumped uncertainty can be modeled by linear differential equations. As the method is Model-Free, a broad range of manipulators can be controlled. Numerical case studies are developed for an industrial robot manipulator.

Keywords

Model-free controlElectrically driven robot manipulatorDifferential equationsRobust control
Type
Articles
Information
Robotica , Volume 35 , Issue 9 , September 2017 , pp. 1923 - 1938
Copyright
Copyright © Cambridge University Press 2016 

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