1.中南大学 高性能复杂制造国家重点实验室, 湖南 长沙 410083
郭勇(1967— ),男,重庆人,副教授,高工,硕士生导师,从事工程机械控制、机电液一体化等方面的研究。
赖广(1997— ),男,重庆人,硕士研究生,主要研究方向为机械电子工程。
扫 描 看 全 文
郭勇,赖广.工业机器人关节空间轨迹规划及优化研究综述[J].机械传动,2020,44(02):154-165.
Guo Yong Lai Guang.Review of Joint Space Trajectory Planning and Optimization for Industrial Robot[J].Journal of Mechanical Transmission,2020,44(02):154-165.
郭勇,赖广.工业机器人关节空间轨迹规划及优化研究综述[J].机械传动,2020,44(02):154-165. DOI: 10.16578/j.issn.1004.2539.2020.02.024.
Guo Yong Lai Guang.Review of Joint Space Trajectory Planning and Optimization for Industrial Robot[J].Journal of Mechanical Transmission,2020,44(02):154-165. DOI: 10.16578/j.issn.1004.2539.2020.02.024.
随着机器人技术的发展,工业机器人广泛应用于自动化生产之中,极大地提高了生产效率以及自动化程度。轨迹规划是完成作业任务的关键环节,而轨迹优化则进一步提高了任务完成质量,也顺应了工业发展的需要。对工业机器人关节空间的轨迹规划及优化研究进展进行了综述。首先,简述了关节空间轨迹规划算法,指出多项式插值是主要方式,B样条曲线因其优良特性是今后发展的必然趋势。然后,对不同目标下的轨迹优化进行了全面综述,指出优化目标的确定以及算法的改进等还存在的问题。最后,对今后的发展方向进行了展望,多目标优化求解方式以及约束的动态调整等将是今后的研究重点。
With the development of robotics technology, industrial robots are widely used in automation production, which greatly improves the production efficiency and automation degree. Trajectory planning is the key link to complete the task, and trajectory optimization further improves the quality of mission completion and meets the needs of industrial development. The research progress of trajectory planning and optimization for joint space of industrial robots is reviewed. Firstly, the algorithm of joint space trajectory planning is briefly described. It is pointed out that polynomial interpolation is the main mode, and B-spline curve is an inevitable trend of future development due to its excellent characteristics. Then, the trajectory optimization under different objectives is comprehensively summarized, and the existing problems such as the determination of the optimization objectives and the improvement of the algorithm are pointed out. Finally, the future development direction is prospected. The multi-objective optimization solution and dynamic adjustment of constraints will be the focus of future research.
工业机器人 关节空间 轨迹规划 轨迹优化
Industrial robotJoint spaceTrajectory planningTrajectory optimization
计时鸣,黄希欢.工业机器人技术的发展与应用综述[J].机电工程,2015(1):1-13.
JI Shiming,HUANG Xihuan.Review of development and application of industrial robot technology[J].Journal of Mechanical & Electrical Engineering,2015(1):1-13.
吴斌.工业机器人最优轨迹规划研究[D].兰州:兰州理工大学,2012:3-4.
WU Bin.The research on optimal planning of industrial trajectories[D].Lanzhou:Lanzhou University of Technology,2012:3-4.
王美妍,李杰.六自由度工业机器人轨迹规划算法研究[J].精密制造与自动化,2017(4):47-49.
WANG Meiyan,LI Jie.Research on trajectory planning algorithm for six degrees of freedom industrial robot[J].Precise Manafacturing & Automation,2017(4):47-49.
庞飞.工业机器人二次最优轨迹规划算法研究[D].沈阳:东北大学,2014:3-4.
PANG Fei.Research on quadratic optimal trajectory planning algorithm for industrial robot[D].Shenyang: Northeastern University,2014:3-4.
李黎,尚俊云,冯艳丽,等.关节型工业机器人轨迹规划研究综述[J].计算机工程与应用,2018,54(5):36-50.
LI Li,SHANG Junyun,FENG Yanli,et al.Research of trajectory planning for articulated industrial robot:a review[J].Computer Engineering and Applications,2018,54(5):36-50.
李双双.工业机器人建模、运动仿真与轨迹优化[D].呼和浩特:内蒙古大学,2012:27-30.
LI Shuangshuang.Modeling,kinematics simulation and time-optimal trajectory planning of industrial robot[D].Hohhot: Inner Mongolia University,2012:27-30.
PERUMALSAMY G,VISWESWARAN P,JOSE J,et al.Quintic interpolation joint trajectory for the path planning of a serial two-axis robotic arm for PFBR steam generator inspection[M].Singapore:Springer Singapore,2018:637-648.
马睿,胡晓兵,殷国富,等.六关节工业机器人最短时间轨迹优化[J].机械设计与制造,2014(4):30-32.
MA Rui,HU Xiaobing,YIN Guofu,et al.The shortest time optimal planning of 6-DOF industrial robot's trajectory[J].Machinery Design & Manufacture,2014(4):30-32.
赵莉.6R工业机器人连续路径平滑轨迹规划及时间最优化研究[D].兰州:兰州理工大学,2018:21-39.
ZHAO Li.Research on continuous path smoothing trajectory planningand time optimization of 6R industrial robot[D].Lanzhou:Lanzhou University of Technology,2018:21-39.
罗欣.机器人平滑运动轨迹规划及控制方法的研究[D].广州:华南理工大学,2017:47-56.
LUO Xin.Smooth motion trajectory planning and control method research for robot[D].Guangzhou:South China University of technology,2017:47-56.
BORYGA M,GRABOŚ A.Planning of manipulator motion trajectory with higher-degree polynomials use[J].Mechanism and Machine Theory,2009,44(7):1400-1419.
郭明明,刘满禄,张华,等.改进差分进化算法优化的机器人时间最优轨迹规划算法[J].自动化仪表,2018,39(1):35-39.
GUO Mingming,LIU Manlu,ZHANG Hua,et al.An improved DE-based time optimal trajectory planning algorithm for robot[J].Process Automation Instrumentation,2018,39(1):35-39.
唐建业,张建军,王晓慧,等.一种改进的机器人轨迹规划方法[J].机械设计,2017,34(3):31-35.
TANG Jianye,ZHANG Jianjun,WANG Xiaohui,et al.An improved study of robot trajectory planning method[J].Journal of Machine Design,2017,34(3):31-35.
李林峰,马蕾.三次均匀B样条在工业机器人轨迹规划中的应用研究[J].科学技术与工程,2013,13(13):3621-3625.
LI Linfeng,MA Lei.A research on the cubic uniform B-spline curve and its application on trajectory planning algorithm of industry robot [J].Science Technology and Engineering,2013,13(13):3621-3625.
MEIKE D,RIBICKIS L.Industrial robot path optimization approach with asynchronous fly-by in joint space[C]//Proceedings of the 2011 IEEE International Symposium on Industrial Electronics,27-30 June,2011,Gdansk,Poland.New York:IEEE,2011:911-915.
WANG C H,HORNG J G.Constrained minimum-time path planning for robot manipulators via virtual knots of the cubic B-spline functions[J].IEEE Transactions on Automatic Control,1990,35(5):573-577.
GASPARETTO A,ZANOTTO V.Optimal trajectory planning for industrial robots[J].Advances in Engineering Software,2010,41(4):548-556.
孔庆博,袁亮,蒋伟.一种改进的工业机器人轨迹规划方法研究[J].机械传动,2019,43(2):30-36.
KONG Qingbo,YUAN Liang,JIANG Wei.Research of an improved trajectory planning method for industrial robot[J].Journal of Mechanical Transmission,2019,43(2):30-36.
勾治践,王成,付威.机器人轨迹规划的有效方法[J].煤矿机械,2013,34(8):66-69.
GOU Zhijian,WANG Cheng,FU Wei.Trajectory planning and simulation of 6R robot based on B-splines[J].Coal Mine Machinery,2013,34(8):66-69.
李小霞,汪木兰,刘坤,等.基于五次B样条的机械手关节空间平滑轨迹规划[J].组合机床与自动化加工技术,2012(8):39-42.
LI Xiaoxia,WANG Mulan,LIU Kun,et al.Smooth trajectory planning based on five degrees B-spline for manipulators in joint space[J].Modular Machine Tool & Automatic Manufacturing Technique,2012(8):39-42.
韩江,谷涛涛,夏链,等.基于混合插值的工业机器人关节轨迹规划算法[J].中国机械工程,2018,29(12):1460-1466.
HAN Jiang,GU Taotao,XIA Lian,et al.Joint trajectory planning algorithm for industrial robots based on mixed interpolation[J].China Mechanical Engineering,2018,29(12):1460-1466.
董甲甲,王太勇,董靖川,等.改进B样条曲线应用于6R机器人轨迹优化[J].中国机械工程,2018,29(2):193-200.
DONG Jiajia,WANG Taiyong,DONG Jingchuan,et al.Applications of improved B-spline curves to 6R robot trajectory optimization[J].China Mechanical Engineering,2018,29(2):193-200.
SARAVANAN R,RAMABALAN S,BALAMURUGAN C.Multiobjective trajectory planner for industrial robots with payload constraints[J].Robotica,2008,26(6):753-765.
乐英,库巍,卢艺,等.基于优化的六自由度工业机器人NURBS轨迹规划[J].组合机床与自动化加工技术,2017(11):41-43.
YUE Ying,KU Wei,LU Yi,et al.Based on the optimized of six-DOF industrial robot NURBS trajectory planning[J].Modular Machine Tool & Automatic Manufacturing Technique,2017(11):41-43.
LIN C,CHANG P,LUH J.Formulation and optimization of cubic polynomial joint trajectories for industrial robots[J].IEEE Transactions on Automatic Control,1983,28(12):1066-1074.
PIAZZI A,VISIOLI A.A cutting-plane algorithm for minimum-time trajectory planning of industrial robots[C]//Proceedings of the 36th IEEE Conference on Decision and Control,12-12 December,1997,San Diego,CA.New York:IEEE,1997:1216-1218.
MACFARLANE S,CROFT E A.Jerk-bounded manipulator trajectory planning:design for real-time applications[J].IEEE Transactions on Robotics and Automation,2003,19(1):42-52.
BAZAZ S A,TONDU B.Online computing of a robotic manipulator joint trajectory with velocity and acceleration constraints[C]//Proceedings of the 1997 IEEE International Symposium on Assembly and Task Planning (ISATP'97).7-9 August,1997,Marina del Rey,CA.New York:IEEE,1997:1-6.
MULLER P A,BOUCHERIT R,LIU S.Smooth and time-optimal trajectory planning for robot manipulators[C]//Proceedings of the 2012 American Control Conference (ACC),27-29 June,2012,Montreal,QC.New York:IEEE,2012:5466-5471.
JEON H T,ESLAMI M.On minimum time joint-trajectory planning for industrial manipulator with cubic polynomials and input torque constraint[C]//Proceedings of the 1986 25th IEEE Conference on Decision and Control,10-12 December,1986,Athens,Greece.New York:IEEE,1986:435-440.
PFEIFFER F,JOHANNI R,ET AL.A concept for manipulator trajectory planning[J].IEEE Journal of Robotics and Automation,1987,3(2):115-123.
RUBIO F,VALERO F,SUNYER J,et al.Optimal time trajectories for industrial robots with torque,power,jerk and energy consumed constraints[J].Industrial Robot: An International Journal,2012,39(1):92-100.
KIM B K,SHIN K G.An efficient minimum-time robot path planning under realistic conditions[C]//Proceedings of 1984 American Control Conference,6-8 June,1984,San Diego,Ca.New York:IEEE,1984:296-303.
KIM J,KIM S,KIM S,et al.A practical approach for minimum-time trajectory planning for industrial robots[J].Industrial Robot:An International Journal,2010,37(1):51-61.
王幼民.机器人连续轨迹控制中的Bezier曲线轨迹优化与控制[J].机械传动,2003,27(3):42-44.
WANG Youmin.Bezier curve trajectory optimization and control in robot continuous trajectory control[J].Journal of Mechanical Transmission,2003,27(3):42-44.
陈晗,李林升.基于复合形法的时间最优机械臂轨迹规划[J].机械传动,2019,43(3):72-75.
CHEN Han,LI Linsheng.Trajectory planning of time optimal manipulator based on complex method[J].Journal of Mechanical Transmission,2019(3):72-75.
郭清达,万传恒,史步海.基于遗传算法的工业机器人时间最优轨迹规划及仿真研究[J].计算机测量与控制,2014,22(4):1240-1242.
GUO Qingda,WAN Chuanheng,SHI Buhai.Planning and simulation of industrial robot time optimal trajectory based on genetic algorithm[J].Computer Measurement & Control,2014,22(4):1240-1242.
赫建立,朱龙英,成磊,等.基于遗传算法的6-DOF机器人最优时间轨迹规划[J].机械传动,2015,39(9):41-45.
HE Jianli,ZHU Longying,CHENG Lei,et al.Time-optimal trajectory planning of 6-DOF robot based on genetic algorithm[J].Journal of Mechanical Transmission,2015,39(9):41-45.
张秀林.基于遗传算法的机械臂时间最优轨迹规划[D].兰州:兰州理工大学,2014:65-74.
ZHANG Xiulin.Time-optimal trajectory planning based on genetic algorithm for manipulator[D].Lanzhou:Lanzhou University of Technology,2014:65-74.
万传恒.六自由度工业机器人轨迹规划算法研究[D].广州:华南理工大学,2012:33-62.
WAN Chuanheng.Path planning algorithm study of industrial robot with six degrees of freedom[D].Guangzhou:South China University of Technology,2012:33-62.
程正智.基于自适应遗传算法的六轴工业机器人时间最优轨迹规划[D].马鞍山:安徽工业大学,2017:29-50.
CHENG Zhengzhi.Time-optimal trajectory planning of six joint industrial robot based on an adaptive genetic algorithm[D].Ma'anshan:Anhui University of technology,2017:29-50.
牛永康.六自由度串联机器人轨迹规划时间最优研究[D].长春:长春工业大学,2013:41-53.
NIU Yongkang.Time-optimal trajectory planning of 6-DOF serial robot[D].Changchun:Changchun University of technology,2013:41-53
付荣.基于智能优化方法的机械臂轨迹规划研究[D].北京:北京工业大学,2011:31-44,49-50.
FU Rong.Research on trajectory planning of manipulator based on intelligent algorithm[D].Beijing: Beijing University of Technology,2011:31-44,49-50.
王玉宝,王诗宇,李备备,等.一种改进粒子群的工业机器人时间最优轨迹规划算法[J].小型微型计算机系统,2018,39(8):1878-1881.
WANG Yubao,WANG Shiyu,LI Beibei,et al.Time optimal trajectory planning algorithm for industrial robots with improved particleswarm optimization[J].Mini-micro Systems,2018,39(8):1878-1881.
付正国.基于人工蜂群算法的机械手轨迹规划研究[D].西安:西安电子科技大学,2013:45-51.
FU Zhengguo.Research on time-optimal trajectory planning of manipulators based on the artificial bee colony algorithm[D].Xi'an:Xidian University,2013:45-51.
张淦.基于改进型人工鱼群算法的机器人轨迹优化研究[D].重庆:重庆交通大学,2016:48-61.
ZHANG Gan.Research on trajectory optimization of robot based on improved artificial fish swarm algorithm[D].Chongqing: Chongqing Jiaotong University,2016:48-61.
MARTIN B J,BOBROW J E.Minimum-effort motions for open-chain manipulators with task-dependent end-effector constraints[J].International Journal of Robotics Research,1999,18(2):213-224.
MOHAMMED A,SCHMIDT B,WANG L,et al.Minimizing energy consumption for robot arm movement[J].Procedia CIRP,2014,25:400-405.
AYTEN K K,SAHINKAYA M N,IRAVANI P.Optimum trajectory planning for redundant and hyper-redundant manipulators through inverse dynamics[C]//Proceedings of the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference,28-31 August,2011,Washington,DC.New York:ASME,2011:493-500.
HANSEN C,OLTJEN J,MEIKE D,et al.Enhanced approach for energy-efficient trajectory generation of industrial robots[C]//Proceedings of the 2012 IEEE International Conference on Automation Science and Engineering (CASE),20-24 August,2012,Seoul,South Korea.New York:IEEE,2012:1-7.
FIELD G,STEPANENKO Y.Iterative dynamic programming: an approach to minimum energy trajectory planning for robotic manipulators[C]//Proceedings of IEEE International Conference on Robotics and Automation,22-28 April,1996,Minneapolis,MN.New York:IEEE,1996:2755-2760.
BAILÓN W P,CARDIEL E B,CAMPOS I J,et al.Mechanical energy optimization in trajectory planning for six DOF robot manipulators based on eighth-degree polynomial functions and a genetic algorithm[C]//Proceedings of the 2010 7th International Conference on Electrical Engineering Computing Science and Automatic Control,8-10 September,2010,Tuxtla Gutierrez.New York:IEEE,2010:446-451.
GARG D P,KUMAR M.Optimization techniques applied to multiple manipulators for path planning and torque minimization[J].Engineering Applications of Artificial Intelligence,2002,15(3):241-252.
操鹏飞,许德章,杨伟超.基于改进遗传算法的工业机器人能耗最优轨迹规划[J].井冈山大学学报(自然科学版),2016,37(2):48-54.
CAO Pengfei,XU Dezhang,YANG Weichao.Energy consumption optimal planning of industrial robot trajectories based on improved genetic algorithm[J].Journal of Jinggangshan University (Natural Science Edition),2016,37(2):48-54.
封顺笑.基于能耗管理的六自由度机械臂轨迹规划研究[D].太原:中北大学,2018:28-46.
FENG Shunxiao.Research on trajectory planning of 6-DOF manipulator based onenergy consumption management[D].Taiyuan:North University of China,2018:28-46.
王成.基于能量最优六自由度串联机器人轨迹规划研究[D].长春:长春工业大学,2014:45-58.
WANG Cheng.Energy-optimal trajectory planning of 6-DOF serial robot[D].Changchun: Changchun University of Technology,2014:45-58.
彭建文.串联六轴工业机器人的关节轨迹规划[D].哈尔滨:哈尔滨工业大学,2017:20-32,33-52.
PENG Jianwen.Joint trajectory planning for serial six-axis industrial robots[D].Harbin: Harbin Institute of Technology,2017:20-32,33-52.
PIAZZI A,VISIOLI A.An interval algorithm for minimum-jerk trajectory planning of robot manipulators[C]//Proceedings of the 36th IEEE Conference on Decision and Control,12 December,1997,San Diego,CA.New York:IEEE,1997:1924-1927.
KYRIAKOPOULOS K J,SARIDIS G N.Minimum jerk path generation[C]//Proceedings of the 1988 IEEE International Conference on Robotics and Automation,24-29 April,1988,Philadelphia,PA.New York:IEEE,1988:364-369.
SIMON D,ISIK C.A trigonometric trajectory generator for robotic arms[J].International Journal of Control,1993,57(3):505-517.
PLATT J C,BARR A H.Constrained differential optimization for neural networks[J].American institute of physics,1988,25(2):612-621.
SIMON D.The application of neural networks to optimal robot trajectory planning[J].Robotics and Autonomous Systems,1993,11(1):23-34.
LIN H.A fast and unified method to find a minimum-jerk robot joint trajectory using particle swarm optimization[J].Journal of Intelligent and Robotic Systems,2013,75(3):379-392.
王文杰,秦现生,王鸿博,等.基于Jerk最优的机器人轨迹规划[J].机械传动,2017,41(7):93-96.
WANG Wenjie,QIN Xiansheng,WANG Hongbo,et al.Trajectory planning of robot based on the jerk optimal[J].Journal of Mechanical Transmission,2017,41(7): 93-96.
刘松国.六自由度串联机器人运动优化与轨迹跟踪控制研究[D].杭州:浙江大学,2009:55-73.
LIU Songguo.Research on motion planning and trajectory tracking control of six-DOF serial robots[D].Hangzhou: Zhejiang University,2009: 55-73.
CHETTIBI T,LEHTIHET H E,HADDAD M,et al.Minimum cost trajectory planning for industrial robots[J].European Journal of Mechanics A/Solids,2004,23(4):703-715.
SHILLER Z.Time-energy optimal control of articulated systems with geometric path constraints[C]//Proceedings of the 1994 IEEE International Conference on Robotics and Automation,8-13 May,1994,San Diego,CA.New York:IEEE,1994:139-143.
BALKAN T.A dynamic programming approach to optimal control of robotic manipulators[J].Mechanics Research Communications,1998,25(2):225-230.
SARAMAGO S F P,JUNIOR V S.Optimal trajectory planning of robot manipulators in the presence of moving obstacles[J].Mechanism and Machine Theory,2000,35(8):1079-1094.
KIM B K,SHIN K G.Suboptimal control of industrial manipulators with a weighted minimum time-fuel criterion[J].IEEE Transactions on Automatic Control,1985,30(1):1199-1204.
GASPARETTO A,ZANOTTO V.A new method for smooth trajectory planning of robot manipulators[J].Mechanism and Machine Theory,2007,42(4): 455-471.
GASPARETTO A,LANZUTTI A,VIDONI R,et al.Experimental validation of minimum time-jerk algorithms for industrial robots[J].Journal of Intelligent & Robotic Systems,2011,64(2):197-219.
LANZUTTI A.Smooth trajectory planning algorithms for industrial robots: an experimental evaluation[J].Annals of the Faculty of Engineering Hunedoara,2011,9(1):127-132.
HUANG J,HU P,WU K,et al.Optimal time-jerk trajectory planning for industrial robots[J].Mechanism and Machine Theory,2018,121:530-544.
SARAVANAN R,RAMABALAN S,BALAMURUGAN C.Evolutionary optimal trajectory planning for industrial robot with payload constraints[J].The International Journal of Advanced Manufacturing Technology,2008,38(11):1213-1226.
XU Z H,LI S,CHEN Q,et al.MOPSO based multi-objective trajectory planning for robot manipulators[C]//Proceedings of the 2015 2nd International Conference on Information Science and Control Engineering,24-26 April,2015,Shanghai,China.New York:IEEE,2015:31-35.
李丽,房立金,王国勋.基于多目标粒子群优化算法的6R工业机器人轨迹优化[J].机械传动,2018,42(8):17-22.
LI Li,FANG Lijin,WANG Guoxun.Trajectory optimization for 6R industrial robot based on multi-object PSO[J].Journal of Mechanical Transmission,2018,42(8):17-22.
王磊.工业机器人多目标寻优轨迹规划研究[D].秦皇岛:燕山大学,2017:27-53.
WANG Lei.Multi-Objective optimal trajectory planning for industrial robots[D].Qinhuangdao:Yanshan University,2017:27-53.
0
浏览量
8
下载量
0
CSCD
关联资源
相关文章
相关作者
相关机构