Journal of Jilin University(Engineering and Technology Edition) ›› 2025, Vol. 55 ›› Issue (5): 1483-1496.doi: 10.13229/j.cnki.jdxbgxb.20240722

    Next Articles

An overview of key technologies for quadruped robot motion and stability control

Xu WANG()   

  1. School of Innovation and Entrepreneurship,University of Science and Technology Beijing,Beijing 100083,China
  • Received:2024-06-29 Online:2025-05-01 Published:2025-07-18

Abstract:

This paper analyses the main research on quadruped robots,based on the motion and stability control requirements of quadrupedal robots, the key technologies of quadrupedal robots, such as mechanism design, kinematics and dynamics analysis, gait and foot trajectory planning, joint actuators, motion stability control, etc., are sorted out and summarised, and the logical relationship between each technology module is constructed, so as to systematically illustrate the motion and stability control architecture of quadrupedal robots, which can be used as reference for the researchers of foot-type robots.

Key words: quadruped robot, dynamics modeling, optimal foot force optimization, model predictive control

CLC Number: 

  • TP242

Fig.1

Schematic of changes in oxygen consumption per unit distance for horses at different speeds"

Fig.2

Tandem leg topology for quadruped robots"

Fig.3

Relationship between robot statics, kinematics and dynamics parameters"

Table 1

Correspondence of gait-load factor, phase difference"

步态β相位差(?i :相位)
左前腿左后腿右前腿右后腿
爬行β>0.7503/41/21/4
步行β=0.7503/41/21/4
对角小跑β=0.501/21/20
溜步β=0.5001/21/2
跳跃β=0.501/201/2
疾驰β<0.50≈1/2≈0≈1/2

Fig.4

Schematic diagram of the trajectory of a trinomial curve"

Fig.5

Motion control framework for quadruped robots"

[1] Hirose S, Kato K. Study on quadruped walking robot in Tokyo Institute of Technology-past, present and future[C]∥IEEE International Conference on Robotics & Automation,San Fracisco,USA, 2000:414-419.
[2] Tee T W, Low K H, Ng H Y, et al. Mechatronics design and gait implementation of a quadruped legged robot[C]∥IEEE International Conference on Control, Hangzhou, China, 2003: 826-832.
[3] Huang Y, Meijer O G, Lin J, et al. The effects of stride length and stride frequency on trunk coordination in human walking[J]. Gait & Posture, 2010, 31(4): 444-449.
[4] Mcghee R B, Frank A A. On the stability properties of quadruped creeping gaits[J]. Mathematical Bioences, 1968, 3(1): 331-351.
[5] Messuri D, Klein C A. Automatic body regulation for maintaining stability of a legged vehicle during rough-terrian locomotion[J]. IEEE Journal of Robotics & Automation, 1985, 1(3): 132-141.
[6] Hirose S, Tsukagoshi H, Yoneda K. Normalized energy stability margin and its contour of walking vehicles on rough terrain[C]∥The IEEE International Conference on Robotics & Automation,Seoul, South Korea, 2001: 181-186.
[7] Pack D J, Kang H. An omnidirectional gait control using a graph search method for a quadruped walking robot[C]∥The IEEE International Conference on Robotics & Automation, Nogoya, Japan,1995: 988-993.
[8] 王新杰, 李培根, 陈学东, 等. 四足步行机器人关节位姿和稳定性研究[J]. 中国机械工程, 2005, 16(17): 1561-1566.
Wang Xin-jie, Li Pei-gen, Chen Xue-dong, et al. Research on joint posture and stability of quadruped walking robot[J]. China Mechanical Engineering, 2005, 16(17): 1561-1566.
[9] 伍科布拉托维奇. 步行机器人和动力型假肢[M]. 北京: 科学出版社, 1983.
[10] Lin B S, Song S M. Dynamic modeling, stability and energy efficiency of a quadrupedal walking machine[C]∥The IEEE International Conference on Robotics & Automation, Atlanta, USA, 2001: 367-373
[11] Won M, Kang T H, Chung W K. Gait planning for quadruped robot based on dynamic stability: landing accordance ratio[J]. Intelligent Service Robotics, 2009, 2(2): 105-112.
[12] Hoyt D F, Taylor C R. Gait and the energetics of locomotion in horses[J]. Nature, 1981, 292: 239-240.
[13] Alexander R M. The maximum forces exerted by animals[J]. Journal of Experimental Biology, 1985, 115: 231-238.
[14] Pratt G A, Williamson M M. Series elastic actuators[C]∥IEEE International Conference on Intelligent Robots & Systems, Pittsburgh, USA, 1995: 399-406.
[15] Au S K, Weber J, Herr H. Powered ankle-foot prosthesis improves walking metabolic economy[J]. IEEE Transactions on Robotics, 2009, 25(1): 51-66.
[16] Wolf S, Hirzinger G. A new variable stiffness design: matching requirements of the next robot generation[C]∥IEEE International Conference on Robotics and Automation, Zhangjiajie, China, 2008: 1741-1746.
[17] Paul R P. Robot Manipulators: Mathematics, Programming and Control[M]. Cambridge: The MIT Press, 1981.
[18] Mcghee R B, Iswandhi G I. Adaptive locomotion of a multilegged robot over rough terrain[J]. IEEE Transactions on Systems Man and Cybernetics, 1979, 9(4): 176-182.
[19] Fukuoka Y, Kimura H, Hada Y, et al. Adaptive dynamic walking of a quadruped robot on irregular terrain by using neural system model[C]∥IEEE/RSJ International Conference on Intelligent Robots & Systems, Takamatsu, Japan, 2000: 979-984.
[20] Buehler M, Playter R, Raibert M. Robots step outside[C]∥International Symposium on Adaptive Motion of Animals and Machines (AMAM),Ilmenau, Germany, 2005: 1-4.
[21] Raibert M, Blankespoor K, Nelson G, et al. BigDog, the rough-terrain quadruped robot[C]∥World Congress,Seoul, South Korea, 2008: 10822-10825.
[22] Albiez J, Kerscher T, Grimminger F, et al. PANTER-prototype for a fast-running quadruped robot with pneumatic muscles[C]∥Proccedings of the 6th International Conference on Climbing and Walking Robots (CLAWAR), Moscow, Russia, 2003: 107411282.
[23] Masuda K, Shimizu M, Narioka K, et al. 1P1-O15 realization of the dynamic locomotion with a quadruped robot based on the musculoskeletal system driven by pneumatic artificial muscles(biorobotics)[J]. The Proceedings of JSME annual Conference on Robotics and Mechatronics, 2011, 4: 1-4.
[24] Pratt J E. Virtual Model Control of a Biped Walking Robot[M]. Cambridge: Massachusetts Institute of Technology, 1995.
[1] Tao ZHANG,Huang-da LIN,Zhong-jun YU. Real-time rolling optimization control method for gearshift of hybrid electric vehicles [J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(4): 1215-1224.
[2] Xun GONG,Hang REN,Hua-lin ZHANG,Jie-yu WANG,Yun-feng HU,Yao SUN. Ecoheating control method for connected electric automotive heat pump system in winter conditions [J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(3): 820-828.
[3] Shou-tao LI,Lu YANG,Ru-yi QU,Peng-peng SUN,Ding-li YU. Slip rate control method based on model predictive control [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(9): 2687-2696.
[4] Shuai-shuai SUN,Chun-xiao FENG,Liang ZHANG. Path planning for multimodal quadruped robots based on discrete sampling [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(4): 1120-1128.
[5] Jing-hua ZHAO,Yu-tong ZHANG,Pai CAO,Zhong-shu WANG,Xiao-ping LI,Ya-nan SUN,Fang-xi XIE. Optimal energy management on extended⁃range electric vehicle equipped with compressed natural gas engine [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(3): 600-609.
[6] Xian-yi XIE,Yu-han WANG,Li-sheng JIN,Xin ZHAO,Bai-cang GUO,Ya-ping LIAO,Bin ZHOU,Ke-qiang LI. Intelligent vehicle trajectory tracking control based on adjusting step size of control horizon [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(3): 620-630.
[7] Wen-hang LI,Tao NI,Ding-xuan ZHAO,Ying-jie DENG,Xiao-bo SHI. Control method on hydraulic suspension systems of rescue vehicles based on model predictive feedback technology [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(3): 610-619.
[8] He-yao JIANG,Yong-hai WANG,You-dong WU,Ping WANG. Coordinated lateral stability and rollover prevention control for four⁃wheel independent motor drive electric vehicles [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(2): 540-549.
[9] Guo LIU,Jian XIONG,Xiu-jian YANG,Yang-fan HE. Intelligent vehicle trajectory tracking control based on curvature augmentation [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(12): 3717-3728.
[10] Gang LIU,Qun FAN,Xu YANG,Hong-bin REN. Dynamic control for trajectory tracking of variable speed lane change in autonomous vehicles [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(12): 3729-3739.
[11] Xiu-lan SONG,Wei-hao CHAI,De-feng HE,Song-xiang YING. Security-oriented cooperative adaptive predictive cruise control for connected and automated vehicular platoons under DoS attacks [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(11): 3406-3416.
[12] Yuan-de JIANG,Ming OUYANG,Xiang-mo ZHAO,Kong-jian QIN,Bing-bing ZHENG. Optimal integrated control of longitudinal and lateral driving assistance systems [J]. Journal of Jilin University(Engineering and Technology Edition), 2024, 54(10): 2741-2753.
[13] De-feng HE,Dan ZHOU,Jie LUO. Efficient cooperative predictive control of predecessor⁃following vehicle platoons with guaranteed string stability [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(3): 726-734.
[14] Fu-yuan SHEN,Wei LI,Dong-nian JIANG. Life prediction and self⁃maintenance method of quadrotor unmanned aerial vehicle [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(3): 841-852.
[15] Bo XIE,Rong GAO,Fu-qiang XU,Yan-tao TIAN. Stability control of human⁃vehicle shared steering system under low adhesion road conditions [J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(3): 713-725.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] ZHANG Lin, ZHANG Xin-jie, GUO Kong-hui, WANG Chao, LIU Yang, LIU Tao. Rolling window optimization for intelligent vehicle trajectory planning in unknown environment[J]. 吉林大学学报(工学版), 2018, 48(3): 652 -660 .
[2] Ye YUAN. Natural frequency analysis of beam bridge structure under temperature and vehicle action[J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(6): 1702 -1710 .
[3] Qing-yong WANG,Wei-qiang QU. Optimization algorithm of urban rail transit operation scheduling based on linear programming[J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(12): 3446 -3451 .
[4] Chun-lei HE,Dong-yang LI,Cheng-zu REN. Research progress on influencing factors and material removal models for free abrasive machining[J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(4): 1123 -1141 .
[5] Qiang LIU,Da-yong GAO,Xian-li LIU,Ru-hong JIA,Qiang ZHOU,Zheng-yan BAI. Research progress of vibration control of vibration damping boring bar[J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(8): 2165 -2184 .
[6] Zhi-feng LIU,Ji-min CHEN,Ying LI,Yong-sheng ZHAO,Xing YAN,Fu-quan SUN. Modeling of CNC machine tool line rail assembly accuracy and its control method[J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(5): 1536 -1543 .
[7] Chang-you MA, Hai-bo GAO, Liang DING, Hai-tao YU, Hong-jun XING, Zong-quan DENG. Mechanism design and docking strategy forend⁃effectors exchange of robot[J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 2027 -2037 .
[8] De-jun WANG,Kai-ran ZHANG,Peng XU,Tian-biao GU,Wen-ya YU. Speed planning and control under complex road conditions based on vehicle executive capability[J]. Journal of Jilin University(Engineering and Technology Edition), 2023, 53(3): 643 -652 .
[9] Li-qiang JIN, Duan-yang TIAN, Hao TIAN, Meng-meng LIU. Brake force assistant technology for vehicle electronicstability control system[J]. Journal of Jilin University(Engineering and Technology Edition), 2019, 49(6): 1764 -1776 .
[10] Xiang-jun YU,Yuan-hui HUAI,Zong-wei YAO,Zhong-chao SUN,An YU. Key technologies in autonomous vehicle for engineering[J]. Journal of Jilin University(Engineering and Technology Edition), 2021, 51(4): 1153 -1168 .