4.4 Article

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

期刊

ENGINEERING COMPUTATIONS
卷 39, 期 5, 页码 1802-1840

出版社

EMERALD GROUP PUBLISHING LTD
DOI: 10.1108/EC-06-2021-0317

关键词

Barzilai and Borwein parameters; Conjugate gradient method; Global convergence; Monotone nonlinear equations; Motion control; Primary 65K05; Secondary 90C30; 90C53

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The research aims to propose a new choice of nonnegative parameter t in the Dai-Liao conjugate gradient method. By combining conjugate gradient algorithms with the Newton method approach, a derivative-free method is presented for solving constrained monotone and general systems of nonlinear equations. The new algorithm has not been submitted or published elsewhere, and has been successfully applied to motion control of two joint planar robotic manipulators.
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.

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