Dynamics Analysis and Sliding Mode Control of 3-CP<sub>a</sub>RR Parallel Mechanism

To establish a rigid dynamics model of a 3 degree-of-freedom decoupled parallel mechanism(a 3-CP<sub>a</sub>RR decoupled parallel mechanism) and sliding mode controller,the structure component of the mechanism is described and the kinematics is revealed by analyzing the kinematics constr...

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Main Authors: Zhu Jingyuan, Wang Jian, Ding Zehua, Zhou Rui, Liu Junchen, Cao Yi
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2018-01-01
Series:Jixie chuandong
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Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.06.015
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author Zhu Jingyuan
Wang Jian
Ding Zehua
Zhou Rui
Liu Junchen
Cao Yi
author_facet Zhu Jingyuan
Wang Jian
Ding Zehua
Zhou Rui
Liu Junchen
Cao Yi
author_sort Zhu Jingyuan
collection DOAJ
description To establish a rigid dynamics model of a 3 degree-of-freedom decoupled parallel mechanism(a 3-CP<sub>a</sub>RR decoupled parallel mechanism) and sliding mode controller,the structure component of the mechanism is described and the kinematics is revealed by analyzing the kinematics constraints. The analysis of kinematics constraint shows that the translational displacement of the mechanism is completely decoupled in the three orthogonal directions,and the rotation joints of the limb distal link are the negative kinematics pairs.According to the result of analysis,the dynamics model of the 3-CP<sub>a</sub>RR decoupled parallel mechanism is established by using the Lagrange equation. Meanwhile,a controller is designed by means of the sliding mode surface,and the system stability is analyzed via Lyapunov function. Finally,the linear velocity and driving force are analyzed through a numerical example. The validity of theoretical analysis and numerical example are demonstrated by the virtual simulation results in ADAMS. At the same time,the validity and stability of the sliding mode controller are also demonstrated. The research provides a theoretic foundation for research on the prototype manufacturing and real-time control system.
format Article
id doaj-art-7419c30468c94b989b467d9bbbfd49da
institution Kabale University
issn 1004-2539
language zho
publishDate 2018-01-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-7419c30468c94b989b467d9bbbfd49da2025-01-10T14:41:55ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392018-01-0142687529937120Dynamics Analysis and Sliding Mode Control of 3-CP<sub>a</sub>RR Parallel MechanismZhu JingyuanWang JianDing ZehuaZhou RuiLiu JunchenCao YiTo establish a rigid dynamics model of a 3 degree-of-freedom decoupled parallel mechanism(a 3-CP<sub>a</sub>RR decoupled parallel mechanism) and sliding mode controller,the structure component of the mechanism is described and the kinematics is revealed by analyzing the kinematics constraints. The analysis of kinematics constraint shows that the translational displacement of the mechanism is completely decoupled in the three orthogonal directions,and the rotation joints of the limb distal link are the negative kinematics pairs.According to the result of analysis,the dynamics model of the 3-CP<sub>a</sub>RR decoupled parallel mechanism is established by using the Lagrange equation. Meanwhile,a controller is designed by means of the sliding mode surface,and the system stability is analyzed via Lyapunov function. Finally,the linear velocity and driving force are analyzed through a numerical example. The validity of theoretical analysis and numerical example are demonstrated by the virtual simulation results in ADAMS. At the same time,the validity and stability of the sliding mode controller are also demonstrated. The research provides a theoretic foundation for research on the prototype manufacturing and real-time control system.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.06.015Decoupled parallel mechanismKinematicsDynamicsSliding mode controlSimulation analysis
spellingShingle Zhu Jingyuan
Wang Jian
Ding Zehua
Zhou Rui
Liu Junchen
Cao Yi
Dynamics Analysis and Sliding Mode Control of 3-CP<sub>a</sub>RR Parallel Mechanism
Jixie chuandong
Decoupled parallel mechanism
Kinematics
Dynamics
Sliding mode control
Simulation analysis
title Dynamics Analysis and Sliding Mode Control of 3-CP<sub>a</sub>RR Parallel Mechanism
title_full Dynamics Analysis and Sliding Mode Control of 3-CP<sub>a</sub>RR Parallel Mechanism
title_fullStr Dynamics Analysis and Sliding Mode Control of 3-CP<sub>a</sub>RR Parallel Mechanism
title_full_unstemmed Dynamics Analysis and Sliding Mode Control of 3-CP<sub>a</sub>RR Parallel Mechanism
title_short Dynamics Analysis and Sliding Mode Control of 3-CP<sub>a</sub>RR Parallel Mechanism
title_sort dynamics analysis and sliding mode control of 3 cp sub a sub rr parallel mechanism
topic Decoupled parallel mechanism
Kinematics
Dynamics
Sliding mode control
Simulation analysis
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2018.06.015
work_keys_str_mv AT zhujingyuan dynamicsanalysisandslidingmodecontrolof3cpsubasubrrparallelmechanism
AT wangjian dynamicsanalysisandslidingmodecontrolof3cpsubasubrrparallelmechanism
AT dingzehua dynamicsanalysisandslidingmodecontrolof3cpsubasubrrparallelmechanism
AT zhourui dynamicsanalysisandslidingmodecontrolof3cpsubasubrrparallelmechanism
AT liujunchen dynamicsanalysisandslidingmodecontrolof3cpsubasubrrparallelmechanism
AT caoyi dynamicsanalysisandslidingmodecontrolof3cpsubasubrrparallelmechanism