基于类拉格朗日方程的UVMS动力学简化建模方法

TJ630.33%U664.82; 作为一种具有强非线性、强耦合、时变、冗余且高维度的复杂系统,水下机器人-机械臂系统(UVMS)的建模、运动控制和稳定性研究都具有较大的难度.在动力学建模中,对于自由度较高的复杂UVMS,采用传统拉格朗日方程建模,需要对广义坐标向量和其导数分别进行求导和求偏导操作,会面临符号求导计算量大、建模效率低等问题.因此,文中基于类拉格朗日方法提出一种适用于 6+n自由度UVMS的动力学简化建模方法,以减少符号化公式推导的运算量,提高建模效率与结果的准确性.最后结合BlueROV水下机器人与Reach Alpha水下机械臂的实物参数对所建立的模型进行了数值仿真,实验结果...

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Published in水下无人系统学报 Vol. 32; no. 5; pp. 891 - 900
Main Authors 杨青宇, 任凭, 王浩
Format Journal Article
LanguageChinese
Published 中国海洋大学 工程学院自动化及测控系,山东 青岛,266100 01.10.2024
Subjects
Online AccessGet full text
ISSN2096-3920
DOI10.11993/j.issn.2096-3920.2024-0002

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Abstract TJ630.33%U664.82; 作为一种具有强非线性、强耦合、时变、冗余且高维度的复杂系统,水下机器人-机械臂系统(UVMS)的建模、运动控制和稳定性研究都具有较大的难度.在动力学建模中,对于自由度较高的复杂UVMS,采用传统拉格朗日方程建模,需要对广义坐标向量和其导数分别进行求导和求偏导操作,会面临符号求导计算量大、建模效率低等问题.因此,文中基于类拉格朗日方法提出一种适用于 6+n自由度UVMS的动力学简化建模方法,以减少符号化公式推导的运算量,提高建模效率与结果的准确性.最后结合BlueROV水下机器人与Reach Alpha水下机械臂的实物参数对所建立的模型进行了数值仿真,实验结果验证了UVMS的复杂耦合性.基于文中方法建立的动力学模型具有明确、清晰的方程形式,能够为控制算法研究与耦合力优化提供有力支撑,为动力学参数设计与轨迹规划研究提供参考.
AbstractList TJ630.33%U664.82; 作为一种具有强非线性、强耦合、时变、冗余且高维度的复杂系统,水下机器人-机械臂系统(UVMS)的建模、运动控制和稳定性研究都具有较大的难度.在动力学建模中,对于自由度较高的复杂UVMS,采用传统拉格朗日方程建模,需要对广义坐标向量和其导数分别进行求导和求偏导操作,会面临符号求导计算量大、建模效率低等问题.因此,文中基于类拉格朗日方法提出一种适用于 6+n自由度UVMS的动力学简化建模方法,以减少符号化公式推导的运算量,提高建模效率与结果的准确性.最后结合BlueROV水下机器人与Reach Alpha水下机械臂的实物参数对所建立的模型进行了数值仿真,实验结果验证了UVMS的复杂耦合性.基于文中方法建立的动力学模型具有明确、清晰的方程形式,能够为控制算法研究与耦合力优化提供有力支撑,为动力学参数设计与轨迹规划研究提供参考.
Abstract_FL As a kind of complex system with strong nonlinearity,strong coupling,time variance,redundancy,and high dimension,the modeling,motion control,and stability analysis of an underwater vehicle-manipulator system(UVMS)are very challenging.In dynamics modeling,the traditional Lagrange equation is often used to model the complex UVMS with high degrees of freedom,which requires the operation of derivation and partial derivation of the generalized coordinates and their derivatives and will face the problems of a large amount of calculation and low modeling efficiency.Therefore,this paper proposed a simplified dynamics modeling method for UVMS with 6+n degree-of-freedom based on the quasi-Lagrange equation,which could reduce the amount of calculation in the symbolic formula derivation and improve the modeling efficiency and the accuracy of the results.Finally,the numerical simulation of a UVMS model was carried out with the physical parameters of the underwater vehicle BlueROV and the underwater manipulator Reach Alpha,and the simulation results verified the complex coupling of the UVMS.The dynamics model based on the proposed method had a clear equation form,which not only provided strong support for the study of control algorithms and the optimization of coupling forces but also a basis for the design of dynamics parameters and the study of trajectory planning.
Author 王浩
杨青宇
任凭
AuthorAffiliation 中国海洋大学 工程学院自动化及测控系,山东 青岛,266100
AuthorAffiliation_xml – name: 中国海洋大学 工程学院自动化及测控系,山东 青岛,266100
Author_FL WANG Hao
YANG Qingyu
REN Ping
Author_FL_xml – sequence: 1
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  fullname: WANG Hao
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DocumentTitle_FL A Simplified Modeling Method of UVMS Dynamics Based on Quasi-Lagrange Equation
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Keywords 类拉格朗日方程
simplified modeling
简化建模
Quasi-Lagrange
underwater vehicle-manipulator system
水下机器人-机械臂系统
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Title 基于类拉格朗日方程的UVMS动力学简化建模方法
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