Untethered quadrupedal hopping and bounding on a trampoline

Boxing WANG, Chunlin ZHOU, Ziheng DUAN, Qichao ZHU, Jun WU, Rong XIONG

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Front. Mech. Eng. ›› 2020, Vol. 15 ›› Issue (2) : 181-192. DOI: 10.1007/s11465-019-0559-5
RESEARCH ARTICLE
RESEARCH ARTICLE

Untethered quadrupedal hopping and bounding on a trampoline

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Abstract

For quadruped robots with springy legs, a successful jump usually requires both suitable elastic parts and well-designed control algorithms. However, these two problems are mutually restricted and hard to solve at the same time. In this study, we attempt to solve the problem of controller design with the help of a robot without any elastic mounted parts, in which the untethered robot is made to jump on a trampoline. The differences between jumping on hard surfaces with springy legs and jumping on springy surfaces with rigid legs are briefly discussed. An intuitive control law is proposed to balance foot contact forces; in this manner, excessive pitch oscillation during hopping or bounding can be avoided. Hopping height is controlled by tuning the time delay of the leg stretch. Together with other motion generators based on kinematic law, the robot can perform translational and rotational movements while hopping or bounding on the trampoline. Experiments are conducted to validate the effectiveness of the proposed control framework.

Keywords

hopping and bounding gait / compliant mechanism / compliant contact / balance control strategy / legged locomotion control / quadruped robot

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Boxing WANG, Chunlin ZHOU, Ziheng DUAN, Qichao ZHU, Jun WU, Rong XIONG. Untethered quadrupedal hopping and bounding on a trampoline. Front. Mech. Eng., 2020, 15(2): 181‒192 https://doi.org/10.1007/s11465-019-0559-5

References

[1]
Park H W, Wensing P M, Kim S. High-speed bounding with the MIT Cheetah 2: Control design and experiments. International Journal of Robotics Research, 2017, 36(2): 167–192
CrossRef Google scholar
[2]
Park H W, Park S, Kim S. Variable-speed quadrupedal bounding using impulse planning: Untethered high-speed 3D running of MIT Cheetah 2. In: Proceedings of 2015 IEEE International Conference on Robotics and Automation (ICRA). Seattle: IEEE, 2015, 5163–5170
CrossRef Google scholar
[3]
Park H W, Wensing P M, Kim S. Online planning for autonomous running jumps over obstacles in high-speed quadrupeds. In: Proceedings of Robotics: Science and System Conference. Rome, 2015
[4]
Gehring C, Coros S, Hutter M, Towards automatic discovery of agile gaits for quadrupedal robots. In: Proceedings of 2014 IEEE International Conference on Robotics and Automation (ICRA). Hong Kong: IEEE, 2014, 4243–4248
CrossRef Google scholar
[5]
Hutter M, Gehring C, Lauber A, ANYmal-toward legged robots for harsh environments. Advanced Robotics, 2017, 31(17): 918–931
CrossRef Google scholar
[6]
Blickhan R. The spring-mass model for running and hopping. Journal of Biomechanics, 1989, 22(11–12): 1217–1227
CrossRef Google scholar
[7]
Berkemeier M D. Modeling the dynamics of quadrupedal running. International Journal of Robotics Research, 1998, 17(9): 971–985
CrossRef Google scholar
[8]
Ahmadi M, Michalska H, Buehler M. Control and stability analysis of limit cycles in a hopping robot. IEEE Transactions on Robotics, 2007, 23(3): 553–563
CrossRef Google scholar
[9]
Zabihi M, Alasty A. Modeling and fuzzy control of one-legged somersaulting robot. In: Proceedings of 2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). Madrid: IEEE, 2018, 2701–2706
CrossRef Google scholar
[10]
Hale M F, Du Bois J L, Iravani P. Agile and adaptive hopping height control for a pneumatic robot. In: Proceedings of 2018 IEEE International Conference on Robotics and Automation (ICRA). Brisbane: IEEE, 2018, 1–6
CrossRef Google scholar
[11]
Liu Q, Chen X, Han B, Virtual constraint based control of bounding gait of quadruped robots. Journal of Bionics Engineering, 2017, 14(2): 218–231
CrossRef Google scholar
[12]
Khoramshahi M, Nasiri R, Shushtari M, Adaptive natural oscillator to exploit natural dynamics for energy efficiency. Robotics and Autonomous Systems, 2017, 97: 51–60
CrossRef Google scholar
[13]
Nasiri R, Khoramshahi M, Ahmadabadi M N. Design of a nonlinear adaptive natural oscillator: Towards natural dynamics exploitation in cyclic tasks. In: Proceedings of 2016 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). Daejeon: IEEE, 2016, 3653–3658
CrossRef Google scholar
[14]
Buchli J, Iida F, Ijspeert A J. Finding resonance: Adaptive frequency oscillators for dynamic legged locomotion. In: Proceedings of 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS). Beijing: IEEE, 2006, 3903–3909
CrossRef Google scholar
[15]
Buchli J, Ijspeert A J. Self-organized adaptive legged locomotion in a compliant quadruped robot. Autonomous Robots, 2008, 25(4): 331–347
CrossRef Google scholar
[16]
Pratt G A, Williamson M M. Series elastic actuators. In: Proceedings of 1995 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human Robot Interaction and Cooperative Robots. Pittsburgh: IEEE, 1995, 399–406
CrossRef Google scholar
[17]
Pratt J E, Krupp B T. Series elastic actuators for legged robots. Unmanned Ground Vehicle Technology VI, 2004, 5422: 135–145
CrossRef Google scholar
[18]
Junior A G L, de Andrade R M, Bento Filho A. Series elastic actuator: Design, analysis and comparison. In: Wang G, ed. Recent Advances in Robotic Systems. London: IntechOpen, 2016, 203–234
CrossRef Google scholar
[19]
Spröwitz A, Tuleu A, Vespignani M, Towards dynamic trot gait locomotion: Design, control, and experiments with Cheetah-cub, a compliant quadruped robot. International Journal of Robotics Research, 2013, 32(8): 932–950
CrossRef Google scholar
[20]
Azad M, Mistry M N. Balance control strategy for legged robots with compliant contacts. In: Proceedings of 2015 IEEE International Conference on Robotics and Automation (ICRA). Seattle: IEEE, 2015: 4391–4396
CrossRef Google scholar
[21]
Canudas C, Roussel L, Goswami A. Periodic stabilization of a 1-DOF hopping robot on nonlinear compliant surface. IFAC Proceedings Volumes, 1997, 30(20): 385–390
CrossRef Google scholar
[22]
Murphy K N, Raibert M H. Trotting and bounding in a planar two-legged mode. In: Morecki A, Bianchi G, Kȩdzior K, eds. Theory and Practice of Robots and Manipulators. Boston: Springer, 1985, 411–420
CrossRef Google scholar
[23]
Raibert M H. Trotting, pacing and bounding by a quadruped robot. Journal of Biomechanics, 1990, 23: 79–98
CrossRef Google scholar
[24]
Poulakakis I, Papadopoulos E, Buehler M. On the stability of the passive dynamics of quadrupedal running with a bounding gait. International Journal of Robotics Research, 2006, 25(7): 669–687
CrossRef Google scholar
[25]
Zhou C, Wang B, Zhu Q, An online gait generator for quadruped walking using motor primitives. International Journal of Advanced Robotic Systems, 2016, 13(6): 1729881416657960
CrossRef Google scholar
[26]
Wang B, Wan Z, Zhou C, A multi-module controller for walking quadruped robots. Journal of Bionics Engineering, 2019, 16(2): 253–263
CrossRef Google scholar
[27]
Ijspeert A J, Nakanishi J, Hoffmann H, Dynamical movement primitives: Learning attractor models for motor behaviors. Neural Computation, 2013, 25(2): 328–373
CrossRef Google scholar
[28]
Ajallooeian M, van den Kieboom J, Mukovskiy A, A general family of morphed nonlinear phase oscillators with arbitrary limit cycle shape. Physica D: Nonlinear Phenomena, 2013, 263: 41–56
CrossRef Google scholar

Acknowledgements

Financial support was provided by the Zhejiang Provincial Natural Science Foundation (Grant No. Y18F030012), the Science and Technology Project of Zhejiang Province (Grant No. 2019C01043), the National Natural Science Foundation of China (Grant No. 61836015), and the State Key Laboratory of Industrial Control Technology (ICT1807).

Electronic Supplementary Material

The supplementary material can be found in the online version of this article (https://doi.org/10.1007/s11465-019-0559-5) and is accessible to authorized users.

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2019 The Author(s) 2019. This article is published with open access at link.springer.com and journal.hep.com.cn
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