Optimization Control of Cooperative Trajectory towards Dual Arms Based on Time-Varying Constrained Output State

Aiming at the impact and disturbance of dual-arm robots in the process of coordinated transportation, a dual-arm cooperative trajectory optimization control based on time-varying constrained output state is proposed. According to the constraint relationship of the end-effector trajectory of the dual...

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Main Authors: Hui Zhang, Wenbin Zha, Xiangrong Xu, Yongfei Zhu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/5338134
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author Hui Zhang
Wenbin Zha
Xiangrong Xu
Yongfei Zhu
author_facet Hui Zhang
Wenbin Zha
Xiangrong Xu
Yongfei Zhu
author_sort Hui Zhang
collection DOAJ
description Aiming at the impact and disturbance of dual-arm robots in the process of coordinated transportation, a dual-arm cooperative trajectory optimization control based on time-varying constrained output state is proposed. According to the constraint relationship of the end-effector trajectory of the dual-arm coordinated transportation, the joint space trajectory mathematical model of the dual-arm coordinated transportation was established by using the master-slave construction method. Based on the time impact optimization index of joint trajectory, a multiobjective nonlinear equation is established. Using random probability distribution to extract the interpolation features of nonuniform quintic B-spline trajectory, the feature optimization target is selected, and the Newton numerical algorithm is used for iterative optimization. At the same time, it is combined with an elite retention genetic algorithm to further optimize the target. Based on the disturbance and tracking problem, a PD control method based on time-varying constrained output state is proposed, and the control law is designed. Its convergence is verified by establishing the Lyapunov function equation and asymmetric term. The trajectory optimization results show that the proposed trajectory optimization method can increase the individual diversity and enhance the individual local optimization, thus avoiding the premature impact of the elite retention genetic algorithm. Finally, the proposed control method is simulated on the platform of Gazebo; compared with the traditional PD control method, the results show that the proposed control algorithm has high robustness, and the rationality of the coordinated trajectory control method is verified by the double-arm handling experiment.
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institution Kabale University
issn 1076-2787
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language English
publishDate 2021-01-01
publisher Wiley
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series Complexity
spelling doaj-art-f9ee00d6c42c4a33b3baf28dec33ee3f2025-02-03T01:25:01ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/53381345338134Optimization Control of Cooperative Trajectory towards Dual Arms Based on Time-Varying Constrained Output StateHui Zhang0Wenbin Zha1Xiangrong Xu2Yongfei Zhu3Anhui University of Technology, Ma’anshan, Anhui 243002, ChinaAnhui University of Technology, Ma’anshan, Anhui 243002, ChinaAnhui University of Technology, Ma’anshan, Anhui 243002, ChinaAnhui University of Technology, Ma’anshan, Anhui 243002, ChinaAiming at the impact and disturbance of dual-arm robots in the process of coordinated transportation, a dual-arm cooperative trajectory optimization control based on time-varying constrained output state is proposed. According to the constraint relationship of the end-effector trajectory of the dual-arm coordinated transportation, the joint space trajectory mathematical model of the dual-arm coordinated transportation was established by using the master-slave construction method. Based on the time impact optimization index of joint trajectory, a multiobjective nonlinear equation is established. Using random probability distribution to extract the interpolation features of nonuniform quintic B-spline trajectory, the feature optimization target is selected, and the Newton numerical algorithm is used for iterative optimization. At the same time, it is combined with an elite retention genetic algorithm to further optimize the target. Based on the disturbance and tracking problem, a PD control method based on time-varying constrained output state is proposed, and the control law is designed. Its convergence is verified by establishing the Lyapunov function equation and asymmetric term. The trajectory optimization results show that the proposed trajectory optimization method can increase the individual diversity and enhance the individual local optimization, thus avoiding the premature impact of the elite retention genetic algorithm. Finally, the proposed control method is simulated on the platform of Gazebo; compared with the traditional PD control method, the results show that the proposed control algorithm has high robustness, and the rationality of the coordinated trajectory control method is verified by the double-arm handling experiment.http://dx.doi.org/10.1155/2021/5338134
spellingShingle Hui Zhang
Wenbin Zha
Xiangrong Xu
Yongfei Zhu
Optimization Control of Cooperative Trajectory towards Dual Arms Based on Time-Varying Constrained Output State
Complexity
title Optimization Control of Cooperative Trajectory towards Dual Arms Based on Time-Varying Constrained Output State
title_full Optimization Control of Cooperative Trajectory towards Dual Arms Based on Time-Varying Constrained Output State
title_fullStr Optimization Control of Cooperative Trajectory towards Dual Arms Based on Time-Varying Constrained Output State
title_full_unstemmed Optimization Control of Cooperative Trajectory towards Dual Arms Based on Time-Varying Constrained Output State
title_short Optimization Control of Cooperative Trajectory towards Dual Arms Based on Time-Varying Constrained Output State
title_sort optimization control of cooperative trajectory towards dual arms based on time varying constrained output state
url http://dx.doi.org/10.1155/2021/5338134
work_keys_str_mv AT huizhang optimizationcontrolofcooperativetrajectorytowardsdualarmsbasedontimevaryingconstrainedoutputstate
AT wenbinzha optimizationcontrolofcooperativetrajectorytowardsdualarmsbasedontimevaryingconstrainedoutputstate
AT xiangrongxu optimizationcontrolofcooperativetrajectorytowardsdualarmsbasedontimevaryingconstrainedoutputstate
AT yongfeizhu optimizationcontrolofcooperativetrajectorytowardsdualarmsbasedontimevaryingconstrainedoutputstate