An Application of Quasi Newton Algorithm and Improvement of Sliding Surface for Robot Control

This article describes the use of an enhanced sliding surface and a Quasi-Newton algorithm for mobile robot control. To enhance performance and reduce chattering around a sliding surface, a proportional-integral sliding surface (PI-SS) is used. The objective of the proportional-integral sliding mode...

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Main Authors: Chi-Ngon Nguyen, Thanh Tung Pham
Format: Article
Language:English
Published: Tamkang University Press 2025-03-01
Series:Journal of Applied Science and Engineering
Subjects:
Online Access:http://jase.tku.edu.tw/articles/jase-202510-28-10-0018
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author Chi-Ngon Nguyen
Thanh Tung Pham
author_facet Chi-Ngon Nguyen
Thanh Tung Pham
author_sort Chi-Ngon Nguyen
collection DOAJ
description This article describes the use of an enhanced sliding surface and a Quasi-Newton algorithm for mobile robot control. To enhance performance and reduce chattering around a sliding surface, a proportional-integral sliding surface (PI-SS) is used. The objective of the proportional-integral sliding mode control declared in this study is to provide a switching control law that will allow the system’s output to get closer to the references and significantly lessen chattering. Regarded as the most well-liked and effective method for resolving unconstrained optimization issues is the Quasi Newton algorithm. The radial basis function neural network (RBF-NN), which approximates the nonlinear elements in the sliding mode controller, is trained using this approach. According to this proposed controller, the confirmed trajectory of the mobile robot will converge to the request trajectory in finite time. By using Lyapunov’s theory, the system’s stability is demonstrated. The efficacy of the suggested controller is demonstrated by the MATLAB/Simulink simulation results, which show that the chattering phenomenon was reduced and that the steady-state error converged to zero, the rising time reached 0.2284 s, the settling time was 0.4454 s, the overshoot was 1.9984e-13 % in x-coordinate; 0.2285 s, 0.4456 s, 1.5543e-13 % in y-coordinate, respectively.
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publisher Tamkang University Press
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spelling doaj-art-cd607084081f4a3c816c77356dcb74d32025-08-20T02:50:55ZengTamkang University PressJournal of Applied Science and Engineering2708-99672708-99752025-03-0128102059206510.6180/jase.202510_28(10).0018An Application of Quasi Newton Algorithm and Improvement of Sliding Surface for Robot ControlChi-Ngon Nguyen0 Thanh Tung Pham1Vice Chairman of the Board of Trustees, Can Tho University, VietnamFaculty of Electrical and Electronics Engineering Technology, Vinh Long University of Technology Education, VietnamThis article describes the use of an enhanced sliding surface and a Quasi-Newton algorithm for mobile robot control. To enhance performance and reduce chattering around a sliding surface, a proportional-integral sliding surface (PI-SS) is used. The objective of the proportional-integral sliding mode control declared in this study is to provide a switching control law that will allow the system’s output to get closer to the references and significantly lessen chattering. Regarded as the most well-liked and effective method for resolving unconstrained optimization issues is the Quasi Newton algorithm. The radial basis function neural network (RBF-NN), which approximates the nonlinear elements in the sliding mode controller, is trained using this approach. According to this proposed controller, the confirmed trajectory of the mobile robot will converge to the request trajectory in finite time. By using Lyapunov’s theory, the system’s stability is demonstrated. The efficacy of the suggested controller is demonstrated by the MATLAB/Simulink simulation results, which show that the chattering phenomenon was reduced and that the steady-state error converged to zero, the rising time reached 0.2284 s, the settling time was 0.4454 s, the overshoot was 1.9984e-13 % in x-coordinate; 0.2285 s, 0.4456 s, 1.5543e-13 % in y-coordinate, respectively.http://jase.tku.edu.tw/articles/jase-202510-28-10-0018quasi newtonsliding surfaceproportional-integralrobotmatlab/simulink
spellingShingle Chi-Ngon Nguyen
Thanh Tung Pham
An Application of Quasi Newton Algorithm and Improvement of Sliding Surface for Robot Control
Journal of Applied Science and Engineering
quasi newton
sliding surface
proportional-integral
robot
matlab/simulink
title An Application of Quasi Newton Algorithm and Improvement of Sliding Surface for Robot Control
title_full An Application of Quasi Newton Algorithm and Improvement of Sliding Surface for Robot Control
title_fullStr An Application of Quasi Newton Algorithm and Improvement of Sliding Surface for Robot Control
title_full_unstemmed An Application of Quasi Newton Algorithm and Improvement of Sliding Surface for Robot Control
title_short An Application of Quasi Newton Algorithm and Improvement of Sliding Surface for Robot Control
title_sort application of quasi newton algorithm and improvement of sliding surface for robot control
topic quasi newton
sliding surface
proportional-integral
robot
matlab/simulink
url http://jase.tku.edu.tw/articles/jase-202510-28-10-0018
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