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On the Taylor series asymptotic tracking control of robots

Published online by Cambridge University Press:  12 October 2018

Seyed Mohammad Ahmadi Open the ORCID record for Seyed Mohammad Ahmadi [Opens in a new window]  and
Mohammad Mehdi Fateh
Seyed Mohammad Ahmadi*
Affiliation:
Department of Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran. E-mail: mmfateh@shahroodut.ac.ir
Mohammad Mehdi Fateh
Affiliation:
Department of Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran. E-mail: mmfateh@shahroodut.ac.ir
*
*Corresponding author. E-mail: s.m.ahmadi1365@gmail.com
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Summary

Achieving the asymptotic tracking control of electrically driven robot manipulators is a challenging problem due to approximation/modelling error arising from parametric and non-parametric uncertainty. Thanks to the specific property of Taylor series systems as they are universal approximators, this research outlines two robust control schemes using an adaptive Taylor series system for robot manipulators, including actuators' dynamics. First, an indirect adaptive controller is designed such as to approximate an uncertain continuous function by using a Taylor series system in the proposed control law. Second, a direct adaptive scheme is established to employ the Taylor series system as a controller. In both controllers, not only a robustifying term is constructed using the estimation of the upper bound of approximation/modelling error, but the closed-loop stability, as well as the asymptotic convergence of joint-space tracking error and its time derivative, is ensured. Due to the design of the Taylor series system in the tracking error space, our technique clearly has an advantage over fuzzy and neural network-based control methods in terms of the small number of tuning parameters and inputs. The proposed methods are simple, model free in decentralized forms, no need for uncertainty bounding functions and perfectly capable of dealing with parametric and non-parametric uncertainty and measurement noise. Finally, simulation results are introduced to confirm the efficiency of the proposed control methods.

Keywords

Taylor series systemDirect adaptive controlIndirect adaptive controlElectrically driven robot manipulatorsAsymptotic tracking controlUniversal approximatorRobustifying term
Type
Articles
Information
Robotica , Volume 37 , Issue 3 , March 2019 , pp. 405 - 427
Copyright
Copyright © Cambridge University Press 2018 

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