计算机科学 ›› 2018, Vol. 45 ›› Issue (12): 201-205.doi: 10.11896/j.issn.1002-137X.2018.12.033

• 人工智能 • 上一篇    下一篇

基于终态神经网络的冗余机械臂重复运动规划

孔颖1,2, 孙明轩1   

  1. (浙江工业大学信息工程学院 杭州310023)1
    (浙江科技学院信息与电子工程学院 杭州310023)2
  • 收稿日期:2017-09-21 出版日期:2018-12-15 发布日期:2019-02-25
  • 作者简介:孔 颖(1980-),女,博士生,讲师,主要研究领域为神经网络、智能机械臂控制、模式识别,E-mail:kongying-888@163.com(通信作者);孙明轩(1961-),男,博士,教授,主要研究领域为迭代学习控制。
  • 基金资助:
    本文受国家自然科学基金(61573320)资助。

Repeatable Motion Planning of Redundant Manipulators Based on Terminal Neural Networks

KONG Ying1,2, SUN Ming-xuan1   

  1. (College of Information Engineering,Zhejiang University of Technology,Hangzhou 310023,China)1
    (School of Information and Electronic Engineering,Zhejiang University of Science and Technology,Hangzhou 310023,China)2
  • Received:2017-09-21 Online:2018-12-15 Published:2019-02-25

摘要: 为解决冗余机械臂在运动过程中出现的关节角漂移现象,提出了一种终态吸引优化指标,形成冗余机械臂重复运动规划的二次优化方法。采用具有有限值激活函数的终态神经网络来求解,在初值位置偏移目标位置的情形下,实现冗余机械臂有限时间收敛的重复运动规划任务。同时,分别以新型的终态神经网络(TNN)和其加速网络(ATNN)求解运动规划问题,该网络求解方法具有终态吸引特性,能够在有限的时间内得到有效解。相比具有渐近收敛动态特性的神经网络(ANN),终态神经网络方法不仅改变了收敛速度,而且提高了收敛的精度。基于冗余机械臂PUMA560的计算机仿真结果表明了所提方法的有效性和实时性。

关键词: 冗余机械臂, 有限时间收敛, 终态神经网络, 重复运动规划

Abstract: To solve the joint-angle drift problems in cyclic motion of redundant robot manipulators,a kind of quadratic optimization models for redundant manipulators’ trajectory planning based on terminal optimality criterion was proposed and analyzed.The terminal neural network models with limited value activation functions are applied to redundant manipulators to demonstrate the effectiveness of the proposed computing models in performing the repeatable motion planning tasks under the condition that the initial position deviates from the target position.New types of terminal neural network (TNN) and its accelerated form (ATNN) were proposed,which are of terminal attractor characteristics and can get effective solution for time-varying matrix in finite time.Compared with the asymptotic neural network (ANN),terminal neural network method not only accelerate the convergent rate,but also improve convergent precision.The si-mulation results on the model of PUMA560 show that the proposed method is effective and real-time.

Key words: Finite-time convergence, Redundant manipulators, Repeatable motion planning, Terminal neural networks

中图分类号: 

  • TP309.7
[1]PAN H,XIN M.Nonlinear robust and optimal control ofrobotmanipulators[J].Nonlinear Dynamics,2014,76(1):237-254.
[2]TAHRIRI F,MOUSAVI M.Optimizing the robot armmove-ment time using virtual reality robotic teaching system[J].International Journal of Simulation Modelling,2015,14(1):28-38.
[3]GARCIA F,BORDONS C.Optimal economical schedule of hydrogen-based microgrids with hybrid storage using model predictive control[J].IEEE Transactions on Industrial Electronics,2015,62(8):5195-5207.
[4]LEE K K,BUSS M.Obstacle avoidance for redundant robotsusing Jacobiantranspose method[C]∥Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems.2007:3509-3514.
[5]ZHANG Y N,XIAO Z L,GUO D S.Singularity-conqueringtracking control of a class of chaotic systems using Zhang-gra-dient dynamics[J].IEEE Transactions on Control Theory & Applications,2015,9(6):871-881.
[6]ROSSI R,SANTAMARIA-NAVARRO A.Trajectory generation for unmanned aerial manipulators through quadratic programming[J].IEEE Robotics & Automation Letters,2016,2(2):389-396.
[7]ZHANG H.A finite iterative algorithm for solving the complex generalized coupled Sylvester matrix equations by using thelinearoperators[J].Journal of the Franklin Institute,2017,354(4):1856-1874.
[8]JIN L,LI S.Distributed task allocation of multiple robots:a control perspective[J].IEEE Transactions on Systems,Man,and Cybernetics,2016,PP(99):1-10.
[9]MIN K,FREEMAN C,KANG H.The regulation by phenolic compounds of soil organic matter dynamics under a changing environment[J].Journal of Biomedicine and Biotechnology,2015,2015(6849):433-458.
[10]DUGULEANA M,BARBUCEANU F G.Obstacle avoidanceof redundant manipulators using neural networks based reinforcement learning[J].Robotics and Computer-Integrated Manufacturing,2012,28(2):132-146.
[11]WHITNEY D E.Resolved motion rate control of manipulators and human prostheses[J].IEEE Transactions on Man Machine Systems,1969,10(2):47-53.
[12]TCHON K,JANIAK M.Repeatable approximation of the Jacobian pseudo-inverse[J].Systems and Control Letters,2009,58(12):849-856.
[13]CHENG F,CHEN T,SUN Y.Resolving manipulator redundancy under inequality constraints[J].IEEE Transactions on Robotics Automation,1994,10(1):65-71.
[14]ZHANG Y,LI W.Physical-limits-constrained minimum velocity norm coordinating scheme for wheeled mobile redundant mani-pulators[J].Robotica,2015,33(2):1325-1350.
[15]LI S.Accelerating a recurrent neural netwok to finite-time convergence for solving time-varying sylvester equation by using a sign-bi-power activation function[J].Neural Processing Letters,2013,37(2):189-205.
[16]LIN X,LIAO B.A convergence-accelerated Zhang neural network and its solution application to Lyapunov equation[J].Neurocomputing,2016,193(2):213-218.ZHANG Y,YOU Q X,LUO Y,et al.Robot arm remote control based on trajectory planning in joint space.Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition),2012,24(1):104-108.(in Chinese)
张毅,游群霞,罗元,等.基于关节空间轨迹规划的机械臂远程控制.重庆邮电大学学报(自然科学版),2012,24(1):104-108.
[1] 孙明轩,翁丁恩,张钰.
有限值终态递归神经网络计算
Time-variant Neurocomputing with Finite-value Terminal Recurrent Neural Networks
计算机科学, 2020, 47(1): 212-218. https://doi.org/10.11896/jsjkx.181001898
[2] 孔颖, 孙明轩.
Sylvester时变矩阵方程求解的终态神经网络算法
Terminal Neural Network Algorithm for Solution of Time-varying Sylvester Matrix Equations
计算机科学, 2018, 45(10): 207-211. https://doi.org/10.11896/j.issn.1002-137X.2018.10.038
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!