基于最小二乘法的六自由度机械臂动态参数辨识

Ngoc Thien Nguyen, Thi My Ngoc Nguyen, Hai Ninh Tong, H-V-A Truong, D. Tran
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引用次数: 0

摘要

精确的动力学对设计先进的控制算法至关重要,以确保系统的可行性、稳定性和高效性。然而,机械臂是一个复杂的多输入-多输出系统,大量的系统噪声严重影响了参数辨识的结果,使得参数辨识过程具有挑战性。为了解决这一难题,提出了一种最小二乘(LS)方法来估计动态参数。首先,根据Denavit-Hartenberg (DH)符号建立了系统的运动学,并利用拉格朗日-欧拉方程计算了系统的动力学模型。然后将动态模型中重组后的参数赋给一般线性矩阵,对模型进行最小二乘法求解。最后,为了验证所提方法的有效性和可靠性,通过Simscape Multibody/MATLAB Simulink对动态估计模型和Solidworks机器人模型进行了PD控制器的数据采集仿真。然后,利用均方根误差(RMSE)公式对LS方法的精度进行分析。
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Dynamic Parameter Identification based on the Least Squares method for a 6-DOF Manipulator
Accurate dynamics play crucial roles in designing advanced control algorithms to ensure the feasibility, stability, and efficiency of the system. However, the manipulator is a complex multi-input-multi-output system, and so many system noises seriously affect parameter identification results, thereby the process of determining them is challenging. In order to manage this challenge, a Least Squares (LS) method is proposed to estimate the dynamic parameters. First of all, the kinematics of the system is built according to Denavit-Hartenberg (DH) notation, and the dynamic model is calculated by using Lagrange-Euler equations. After that, the regrouped parameters in the dynamic model are given to the general linear matrix to apply the least squares method for the model. Finally, to demonstrate the effectiveness and reliability of the proposed method, data acquisition is carried out by using a PD controller in simulations via Simscape Multibody/MATLAB Simulink for the dynamic estimate model and the Solidworks robot model. After that, the Root Mean Squared Error (RMSE) formula is used to analyze the accuracy of the LS method.
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