Co-Optimization of Vibration Suppression and Data Efficiency in Robotic Manipulator Dynamic Modeling

In response to the limitations of vibration suppression performance caused by the difficulty in accurately modeling nonlinear friction during robotic manipulator dynamics parameter identification, this paper proposes a hybrid identification method based on a Broad Learning System (BLS) optimized by...

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Main Authors: Xiaowei Han, Kunru Wu, Nanmu Hui
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/15/14/7679
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author Xiaowei Han
Kunru Wu
Nanmu Hui
author_facet Xiaowei Han
Kunru Wu
Nanmu Hui
author_sort Xiaowei Han
collection DOAJ
description In response to the limitations of vibration suppression performance caused by the difficulty in accurately modeling nonlinear friction during robotic manipulator dynamics parameter identification, this paper proposes a hybrid identification method based on a Broad Learning System (BLS) optimized by Particle Swarm Optimization (PSO). First, a joint excitation trajectory is designed using a fifth-order Fourier series with zero boundary conditions to ensure sufficient excitation of system dynamics. Then, a linear regression formulation of the manipulator’s structural dynamics is established, and the BLS network is employed to model the unstructured residuals—primarily arising from nonlinear friction—with high precision. Finally, the PSO algorithm is applied to optimize the hyperparameters of the BLS network, achieving global model optimality. Simulation results demonstrate that under typical motion conditions of the manipulator, the proposed method exhibits excellent capability in capturing nonlinear disturbances, maintaining joint prediction errors below 6 × 10<sup>−12</sup> N·m. This significantly improves the accuracy and robustness of the feedforward vibration suppression control. Moreover, by integrating PSO-based hyperparameter optimization and trajectory design with sufficient excitation, the proposed method enhances data efficiency during the identification process, offering a novel and practical identification strategy for precise modeling and control of complex mechanical systems.
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spelling doaj-art-3a1a8cc2a8664a809bd1cadfa1fc2a222025-07-25T13:12:03ZengMDPI AGApplied Sciences2076-34172025-07-011514767910.3390/app15147679Co-Optimization of Vibration Suppression and Data Efficiency in Robotic Manipulator Dynamic ModelingXiaowei Han0Kunru Wu1Nanmu Hui2School of Mechanical Engineering, Shenyang University, Shenyang 110044, ChinaSchool of Intelligent Science and Information Engineering, Shenyang University, Shenyang 110044, ChinaSchool of Intelligent Science and Information Engineering, Shenyang University, Shenyang 110044, ChinaIn response to the limitations of vibration suppression performance caused by the difficulty in accurately modeling nonlinear friction during robotic manipulator dynamics parameter identification, this paper proposes a hybrid identification method based on a Broad Learning System (BLS) optimized by Particle Swarm Optimization (PSO). First, a joint excitation trajectory is designed using a fifth-order Fourier series with zero boundary conditions to ensure sufficient excitation of system dynamics. Then, a linear regression formulation of the manipulator’s structural dynamics is established, and the BLS network is employed to model the unstructured residuals—primarily arising from nonlinear friction—with high precision. Finally, the PSO algorithm is applied to optimize the hyperparameters of the BLS network, achieving global model optimality. Simulation results demonstrate that under typical motion conditions of the manipulator, the proposed method exhibits excellent capability in capturing nonlinear disturbances, maintaining joint prediction errors below 6 × 10<sup>−12</sup> N·m. This significantly improves the accuracy and robustness of the feedforward vibration suppression control. Moreover, by integrating PSO-based hyperparameter optimization and trajectory design with sufficient excitation, the proposed method enhances data efficiency during the identification process, offering a novel and practical identification strategy for precise modeling and control of complex mechanical systems.https://www.mdpi.com/2076-3417/15/14/7679dynamic modelingflexible-joint robotsbroad learning systemparticle swarm optimizationvibration control
spellingShingle Xiaowei Han
Kunru Wu
Nanmu Hui
Co-Optimization of Vibration Suppression and Data Efficiency in Robotic Manipulator Dynamic Modeling
Applied Sciences
dynamic modeling
flexible-joint robots
broad learning system
particle swarm optimization
vibration control
title Co-Optimization of Vibration Suppression and Data Efficiency in Robotic Manipulator Dynamic Modeling
title_full Co-Optimization of Vibration Suppression and Data Efficiency in Robotic Manipulator Dynamic Modeling
title_fullStr Co-Optimization of Vibration Suppression and Data Efficiency in Robotic Manipulator Dynamic Modeling
title_full_unstemmed Co-Optimization of Vibration Suppression and Data Efficiency in Robotic Manipulator Dynamic Modeling
title_short Co-Optimization of Vibration Suppression and Data Efficiency in Robotic Manipulator Dynamic Modeling
title_sort co optimization of vibration suppression and data efficiency in robotic manipulator dynamic modeling
topic dynamic modeling
flexible-joint robots
broad learning system
particle swarm optimization
vibration control
url https://www.mdpi.com/2076-3417/15/14/7679
work_keys_str_mv AT xiaoweihan cooptimizationofvibrationsuppressionanddataefficiencyinroboticmanipulatordynamicmodeling
AT kunruwu cooptimizationofvibrationsuppressionanddataefficiencyinroboticmanipulatordynamicmodeling
AT nanmuhui cooptimizationofvibrationsuppressionanddataefficiencyinroboticmanipulatordynamicmodeling