Journal of Shandong University(Engineering Science) ›› 2021, Vol. 51 ›› Issue (3): 37-44.doi: 10.6040/j.issn.1672-3961.0.2020.320

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Algorithm of adaptive slope adjustment of quadruped robot based on model predictive control and its application

LIANG Qixing1, LI Bin1*, LI Zhi2, ZHANG Hui2, RONG Xuewen3, FAN Yong4   

  1. 1. School of Mathematics and Statistics, Qilu University of Technology(Shandong Academy of Sciences), Jinan 250353, Shandong, China;
    2. School of Electrical Engineering and Automation, Qilu University of Technology(Shandong Academy of Sciences), Jinan 250353, Shandong, China;
    3. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China;
    4. School of Rail Transportation, Shandong Jiaotong University, Jinan 250357, Shandong, China
  • Online:2021-06-20 Published:2021-06-24

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Abstract: In order to realize the adaptive and stable walking of the quadruped robot on slope terrain, the adaptive adjustment strategies of both feet position and trunk posture of quadruped robot on slope were proposed based on the model predictive control. The posture determination parameters of the robot in locomotion were measured by the inertial measurement unit(IMU). By means of the derived foot end trajectory algorithm, the coordinate mapping of its toe position was obtained in order to adjust the center of gravity of the robot on the slope. Then the adaptive adjustment of the trunk posture of the robot in the process of climbing could be achieved through the trunk posture adjustment algorithm by means of designed “virtual slope”. With the help of the physical platform of quadruped robot and the actual slope terrain environment built in the laboratory, the feasibility and validity of the proposed algorithm are verified. Experimental result showed that the proposed slope adaptive control method had improved the stability margin of the robot on the slope and optimized the foot end motion space, thus leading to the realization of adaptive adjustment in climbing slope for the quadruped robot.

Key words: quadruped robot, model predictive control, slope, body posture, adaptive adjustment

CLC Number: 

  • TP242
[1] HE Jingye, SHAO Junpeng, SUN Guitao, et al. Survey of quadruped robots coping strategies in complex situations[J]. Electronics, 2019, 8(12): 1-16.
[2] WANG A S, CHEN W W, LIN P. Control of a 2-D bounding passive quadruped model with poincar? map approximation and model predictive control[C] //International Conference on Advanced Robotics & Intelligent Systems. Taipei, China: IEEE, 2017: 1-6.
[3] HORVAT T, MELO K, IJSPEERT A J. Model predictive control based framework for CoM control of a quadruped robot[C] //2017 IEEE/RSJ International Conference on Intelligent Robots and Systems. Vancouver, Canada: IEEE, 2017: 3372-3378.
[4] FARSHIDIAN F, JELAVI E, SATAPATHY A, et al. Real-time motion planning of legged robots: a model predictive control approach[C] //International Conference on Humanoid Robotics. Birmingham, England: IEEE, 2017: 577-584.
[5] CARLO J D, WENSING P M, KATZ B, et al. Dynamic locomotion in the MIT Cheetah 3 through convex model predictive control[C] //International Conference on Intelligent Robots and Systems(IROS). Madrid, Spain: IEEE, 2018: 1-9.
[6] NEUNERT M, STAUBLE M, GIFTTHALER M, et al. Whole-body nonlinear model predictive control through contacts for quadrupeds[J]. IEEE Robotics & Automation Letters, 2018, 3(3): 1458-1465.
[7] GUO Jiaxin, ZHENG Yukun, QU Daoxiao, et al. An algorithm of foot end trajectory tracking control for quadruped robot based on model predictive control[C] //International Conference on Robotics and Biomimetics(ROBIO). Dali, China: IEEE, 2019: 828-833.
[8] SHI Yapeng, WANG Pengfei, Li Mantian, et al. Model predictive control for motion planning of quadrupedal locomotion[C] //2019 IEEE 4th International Conference on Advanced Robotics and Mechatronics. Toyonaka, Japan: IEEE, 2019: 87-92.
[9] MA S, TOMIYAMA T, WADA H. Omni-directional walking of a quadruped robot[C] //International Conference on Intelligent Robots & Systems. Lausanne, Switzerland: IEEE, 2004: 2605-2612.
[10] YIN Peng, WANG Pengfei, LI Mantian, et al. A novel control strategy for quadruped robot walking over irregular terrain[C] //Robotics, Automation & Mechatronics. Qingdao, China: IEEE, 2011: 184-189.
[11] 孟健,李贻斌,李彬. 四足机器人对角小跑步态全方位移动控制方法及其实现[J].机器人, 2015, 37(1): 74-84. MENG Jian, LI Yibin, LI Bin. Omnidirectional movement control method and realization of quadruped robot in diagonal trot gait[J]. Robot, 2015, 37(1): 74-84.
[12] MENG Xiangrui, ZHOU Chao, CAO Zhiqiang, et al. A slope location and orientation estimation method based on 3D LiDAR suitable for quadruped robots[C] //IEEE International Conference on Robotics & Biomimetics. Qingdao, China: IEEE, 2016: 197-201.
[13] 韩宝玲,贾燕,李华师,等.四足机器人坡面运动时的姿态调整技术[J].北京理工大学学报,2016, 36(3): 242-246. HAN Baoling, JIA Yan, LI Huashi, et al. Posture adjustment technology of quadruped robot in slope movement[J]. Journal of Beijing University of Technology, 2016, 36(3): 242-246.
[14] AGRAWAL A, JADHAV A, PAREEKUTTY N, et al. Terrain adaptive posture correction in quadruped for locomotion on unstructured terrain[J]. Proceedings of the Advances in Robotics, 2017:1-6.
[15] LEE J H, PARK J H. Optimization of postural transition scheme for quadruped robots trotting on various surfaces[J]. IEEE Access, 2019: 168126-168140.
[16] JONES W, BLUM T, YOSHIDA K. Adaptive slope locomotion with deep reinforcement learning[C] //International Symposium on System Integration. Honolulu, USA: IEEE, 2020:546-550.
[17] BLEDT G, POWELL M J, KATZ B, et al. MIT Cheetah 3: design and control of a robust, dynamic quadruped robot[C] //IEEE/RSJ International Con-ference on Intelligent Robots and Systems(IROS). Madrid, Spain: IEEE, 2019:2245-2252.
[18] ZHANG Si, GAO Junyao, DUAN Xingguang, et al. Trot pattern generation for quadruped robot based on the ZMP stability margin[C] //International Conference on Complex Medical Engineering. Beijing, China: IEEE, 2013:608-613.
[19] 马宗利, 张培强, 吕荣基,等. 四足机器人坡面行走稳定性分析[J]. 东北大学学报(自然科学版), 2018, 39(5):673-678. MA Zongli, ZHANG Peiqiang, L(¨overU)Rongji, et al. Stability analysis of quadruped robot walking on slope[J]. Journal of Northeast University(Natural Science Edition), 2018, 39(5):673-678.
[20] KO C C, CHEN S C, LI C H, et al. Trajectory planning and four-leg coordination for stair climbing in a quadruped robot[C] //IEEE/RSJ International Con-ference on Intelligent Robots & Systems. Taipei, China: IEEE, 2010:5335-5340.
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