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Motion control of the two joint planar robotic manipulators through accelerated Dai–Liao method for solving system of nonlinear equations

Abubakar Sani Halilu (Department of Mathematics, Lovely Professional University, Phagwara, India) (Department of Mathematics, Sule Lamido University, Kafin Hausa, Nigeria) (Numerical Optimization Research Group, Bayero University, Kano, Nigeria)
Arunava Majumder (Department of Mathematics, Lovely Professional University, Phagwara, India)
Mohammed Yusuf Waziri (Department of Mathematical Science, Bayero University, Kano, Nigeria) (Numerical Optimization Research Group, Bayero University, Kano, Nigeria)
Kabiru Ahmed (Department of Mathematical Science, Bayero University, Kano, Nigeria) (Numerical Optimization Research Group, Bayero University, Kano, Nigeria)
Aliyu Muhammed Awwal (Department of Mathematics, Gombe State University, Gombe, Nigeria) (Numerical Optimization Research Group, Bayero University, Kano, Nigeria) (KMUTT-Fixed Point Theory and Applications Research Group, King Mongkut's University of Technology Thonburi, Bangkok, Thailand)

Engineering Computations

ISSN: 0264-4401

Article publication date: 14 December 2021

Issue publication date: 3 May 2022

71

Abstract

Purpose

The purpose of this research is to propose a new choice of nonnegative parameter t in Dai–Liao conjugate gradient method.

Design/methodology/approach

Conjugate gradient algorithms are used to solve both constrained monotone and general systems of nonlinear equations. This is made possible by combining the conjugate gradient method with the Newton method approach via acceleration parameter in order to present a derivative-free method.

Findings

A conjugate gradient method is presented by proposing a new Dai–Liao nonnegative parameter. Furthermore the proposed method is successfully applied to handle the application in motion control of the two joint planar robotic manipulators.

Originality/value

The proposed algorithm is a new approach that will not either submitted or publish somewhere.

Keywords

Acknowledgements

The authors would like to thank the entire numerical optimization research group at Bayero University in Kano for their comments and encouragement during the course of this paper.

Citation

Halilu, A.S., Majumder, A., Waziri, M.Y., Ahmed, K. and Awwal, A.M. (2022), "Motion control of the two joint planar robotic manipulators through accelerated Dai–Liao method for solving system of nonlinear equations", Engineering Computations, Vol. 39 No. 5, pp. 1802-1840. https://doi.org/10.1108/EC-06-2021-0317

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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