Journal of Guangxi Normal University(Natural Science Edition) ›› 2022, Vol. 40 ›› Issue (6): 131-144.doi: 10.16088/j.issn.1001-6600.2021101201

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Modeling and Dynamics Analysis of an Ascending Stairs Biped Robot Under Impulse Thrust

CHEN Jiarui, LING Lin, JIANG Guirong*   

  1. School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin Guangxi 541004, China
  • Received:2021-10-12 Revised:2022-01-11 Online:2022-11-25 Published:2023-01-17

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Abstract: The complex walking dynamics of an ascending stairs biped robot with telescopic legs and pulse thrust is studied. The telescopic leg structure is used to solve the problem of touching steps and pulse thrust along the supporting leg is used to provide the power source. The dynamic model of biped robot walking up stairs is established by using Lagrange equation and angular momentum conservation law. Impulse thrust with velocity dependent and amplitude constraint is considered and a Poincaré map is constructed. By using theoretical analysis and numerical simulation, the complex dynamics, such as periodic solution and its bifurcation of the system, are studied, and the effects of pulse parameters and structural parameters on the stable walking of biped robot are discussed. The results show that when the appropriate parameters are selected, the system has a stable periodic-1 solution, and the biped robot can climb stairs stably. Compared with constant pulse thrust, impulse thrust with velocity dependent and amplitude constraint can help the stair climbing biped robot to quickly enter a stable walking state.

Key words: biped robot, ascending stair, impulse thrust, fixed point, bifurcation

CLC Number: 

  • TP242.6
[1] MCGEER T. Passive dynamic walking[J]. International Journal of Robotics Research, 1990, 9(2): 62-82.
[2] SAFARTOOBI M, DARDEL M, DANIALI H M. Gait cycles of passive walking biped robot model with flexible legs[J]. Mechanism and Machine Theory, 2021, 159: 104292.
[3] ZNEGUI W, GRITLI H, BELGHITH S. A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot[J]. Applied Mathematical Modelling, 2021, 94: 534-557.
[4] 刘宋, 杨鑫.平面双足机器人建模与仿真研究[J].计算机仿真, 2020, 37(8): 281-285, 352.
[5] 吉巧丽, 钱志辉, 任雷, 等.基于遗传算法的双足机器人足踝蹬地参数优化[J].农业机械学报, 2020, 51(S1): 584-591.
[6] 钟浩然, 李新宇, 高亮, 等.适应非平整地面的双足机器人柔顺步态优化方法[J].华中科技大学学报(自然科学版), 2021, 49(7): 97-102.
[7] NODA S, SUGAI F, KOJIMA K, et al. Semi-passive walk and active walk by one bipedal robot: mechanism, control and parameter identification[J]. International Journal of Humanoid Robotics, 2020, 17(2): 2050012.
[8] 吴青青, 张奇志, 周亚丽.变刚度双足机器人半被动行走控制研究[J].系统仿真学报, 2020, 32(8): 1588-1597.
[9] DENG K, ZHAO M G, XU W L. Level-ground walking for a bipedal robot with a torso via hip series elastic actuators and its gait bifurcation control[J]. Robotics and Autonomous Systems, 2016, 79: 58-71.
[10] KERIMOLU D, MORGÜL Ö, SARANLI U. Stability of a compass gait walking model with series elastic ankle actuation[C]// 2015 International Conference on Advanced Robotics (ICAR). Piscataway: IEEE, 2015: 351-356.
[11] KUO A D. Energetics of actively powered locomotion using the simplest walking model[J]. Journal of Biomechanical Engineering, 2002, 124(1): 113-120.
[12] 周亚丽, 张奇志.基于脉冲推力的半被动双足机器人无模型神经网络控制[J].计算机应用研究, 2018, 35(1): 56-61.
[13] DONG E Z, WANG D D, TONG J G, et al. A stable gait planning method of biped robot based on ankle motion smooth fitting[J]. International Journal of Control Automation and Systems, 2018, 16(1): 284-294.
[14] VATANKHAH M, KOBRAVI H R, RITTER A. Intermittent control model for ascending stair biped robot using a stable limit cycle model[J]. Robotics and Autonomous Systems, 2019, 121: 103255.
[15] SHIH C L. Ascending and descending stairs for a biped robot[J]. IEEE Transactions on Systems, Man, and Cybernetics-Part A: Systems and Humans, 1999, 29(3): 255-268.
[16] GONG L L, ZHAO R W, LIANG J Y, et al. Periodic motion generation for the impactless biped walking up slopes via genetic algorithm[J]. Natural Computing, 2020, 19(4): 743-755.
[17] MANDAVA R K, VUNDAVILLI P R. Design and development of an adaptive-torque-based proportional-integral-derivative controller for a two-legged robot[J]. Soft Computing, 2021, 25(16): 10953-10968.
[18] HAO M, CHEN K, FU C L. Effects of hip torque during step-to-step transition on center-of-mass dynamics during human walking examined with numerical simulation[J]. Journal of Biomechanics, 2019, 90: 33-39.
[19] 李松涛, 李群宏, 张文.三自由度碰撞振动系统的余维二擦边分岔与混沌控制[J].广西师范大学学报(自然科学版), 2021, 39(4): 79-92.
[20] YANG X B, YU J Y, GAO H J. An impulse control approach to spacecraft autonomous rendezvous based on genetic algorithms[J]. Neurocomputing, 2012, 77(1): 189-196.
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