Dynamics Analysis of a Single Leg of Quadruped Robots Based on Udwadia-Kalaba Theory

Traditionally, the Lagrangian method is used to deal with the dynamics of multi-body systems. However, in the solution process, Lagrangian multipliers are introduced, which increases the difficulty of solving the explicit dynamics equations. To address the complex problem of modeling the dynamics of...

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Main Authors: Liang Bin, Yuan Liang, Ran Teng, Xiao Wendong, He Li
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2022-12-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.12.001
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author Liang Bin
Yuan Liang
Ran Teng
Xiao Wendong
He Li
author_facet Liang Bin
Yuan Liang
Ran Teng
Xiao Wendong
He Li
author_sort Liang Bin
collection DOAJ
description Traditionally, the Lagrangian method is used to deal with the dynamics of multi-body systems. However, in the solution process, Lagrangian multipliers are introduced, which increases the difficulty of solving the explicit dynamics equations. To address the complex problem of modeling the dynamics of a quadruped robot, a single-legged model of quadruped robots based on Udwadia-Kalaba (UK) theory is investigated and a new method for solving its explicit dynamics equations is established. To simplify the process of obtaining the equations, the UK equation is used to deal with the motion constraints. Considering the uncertainty of the realistic environment, a nonlinear controller is designed to track the motion trajectory using the principle of sliding mode control. The results of numerical simulations prove the correctness and effectiveness of the dynamics equations and the controller.
format Article
id doaj-art-dfc58280ea3347f6bb4a5867ab9ea389
institution Kabale University
issn 1004-2539
language zho
publishDate 2022-12-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-dfc58280ea3347f6bb4a5867ab9ea3892025-01-10T14:56:42ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392022-12-01461633108082Dynamics Analysis of a Single Leg of Quadruped Robots Based on Udwadia-Kalaba TheoryLiang BinYuan LiangRan TengXiao WendongHe LiTraditionally, the Lagrangian method is used to deal with the dynamics of multi-body systems. However, in the solution process, Lagrangian multipliers are introduced, which increases the difficulty of solving the explicit dynamics equations. To address the complex problem of modeling the dynamics of a quadruped robot, a single-legged model of quadruped robots based on Udwadia-Kalaba (UK) theory is investigated and a new method for solving its explicit dynamics equations is established. To simplify the process of obtaining the equations, the UK equation is used to deal with the motion constraints. Considering the uncertainty of the realistic environment, a nonlinear controller is designed to track the motion trajectory using the principle of sliding mode control. The results of numerical simulations prove the correctness and effectiveness of the dynamics equations and the controller.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.12.001Udwadia-Kalaba theoryDynamics modelQuadruped robotSliding mode control
spellingShingle Liang Bin
Yuan Liang
Ran Teng
Xiao Wendong
He Li
Dynamics Analysis of a Single Leg of Quadruped Robots Based on Udwadia-Kalaba Theory
Jixie chuandong
Udwadia-Kalaba theory
Dynamics model
Quadruped robot
Sliding mode control
title Dynamics Analysis of a Single Leg of Quadruped Robots Based on Udwadia-Kalaba Theory
title_full Dynamics Analysis of a Single Leg of Quadruped Robots Based on Udwadia-Kalaba Theory
title_fullStr Dynamics Analysis of a Single Leg of Quadruped Robots Based on Udwadia-Kalaba Theory
title_full_unstemmed Dynamics Analysis of a Single Leg of Quadruped Robots Based on Udwadia-Kalaba Theory
title_short Dynamics Analysis of a Single Leg of Quadruped Robots Based on Udwadia-Kalaba Theory
title_sort dynamics analysis of a single leg of quadruped robots based on udwadia kalaba theory
topic Udwadia-Kalaba theory
Dynamics model
Quadruped robot
Sliding mode control
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2022.12.001
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AT yuanliang dynamicsanalysisofasinglelegofquadrupedrobotsbasedonudwadiakalabatheory
AT ranteng dynamicsanalysisofasinglelegofquadrupedrobotsbasedonudwadiakalabatheory
AT xiaowendong dynamicsanalysisofasinglelegofquadrupedrobotsbasedonudwadiakalabatheory
AT heli dynamicsanalysisofasinglelegofquadrupedrobotsbasedonudwadiakalabatheory