1. The Key Laboratory of Road Construction Technology and Equipment of MOE, Chang’an University, Xi’an 710064, China 2. State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, China 3. Embodied Artificial Intelligence & Neurorobotics Laboratory, SDU Biorobotics, The Mærsk Mc-Kinney Møller Institute, The University of Southern Denmark, Odense 5230, Denmark 4. The College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China; The School of Information Science & Technology, Vidyasirimedhi Institute of Science & Technology, Rayong 21210, Thailand
Although the torso plays an important role in the movement coordination and versatile locomotion of mammals, the structural design and neuromechanical control of a bionic torso have not been fully addressed. In this paper, a parallel mechanism is designed as a bionic torso to improve the agility, coordination, and diversity of robot locomotion. The mechanism consists of 6-degree of freedom actuated parallel joints and can perfectly simulate the bending and stretching of an animal’s torso during walking and running. The overall spatial motion performance of the parallel mechanism is improved by optimizing the structural parameters. Based on this structure, the rhythmic motion of the parallel mechanism is obtained by supporting state analysis. The neural control of the parallel mechanism is realized by constructing a neuromechanical network, which merges the rhythmic signals of the legs and generates the locomotion of the bionic parallel mechanism for different motion patterns. Experimental results show that the complete integrated system can be controlled in real time to achieve proper limb–torso coordination. This coordination enables several different motions with effectiveness and good performance.
A Ananthanarayanan, M Azadi, S Kim. Towards a bio-inspired leg design for high-speed running. Bioinspiration & Biomimetics, 2012, 7(4): 046005 https://doi.org/10.1088/1748-3182/7/4/046005
2
C Gehring, S Coros, M Hutler, et al.. Practice makes perfect: An optimization-based approach to controlling agile motions for a quadruped robot. IEEE Robotics & Automation Magazine, 2016, 23(1): 34–43 https://doi.org/10.1109/MRA.2015.2505910
3
P Manoonpong, U Parlitz, F Wörgötter. Neural control and adaptive neural forward models for insect-like, energy-efficient, and adaptable locomotion of walking machines. Frontiers in Neural Circuits, 2013, 7: 12 https://doi.org/10.3389/fncir.2013.00012
4
N Schilling, R Hackert. Sagittal spine movements of small therian mammals during asymmetrical gaits. Journal of Experimental Biology, 2006, 209(19): 3925–3939 https://doi.org/10.1242/jeb.02400
M Hildebrand. Motions of the running cheetah and horse. Journal of Mammalogy, 1959, 40(4): 481–495 https://doi.org/10.2307/1376265
7
F Galis, D R Carrier, J van Alphen, et al.. Fast running restricts evolutionary change of the vertebral column in mammals. Proceedings of the National Academy of Sciences of the United States of America, 2014, 111(31): 11401–11406 https://doi.org/10.1073/pnas.1401392111
8
J Albiez, T Luksch, K Berns, et al.. A behaviour network concept for controlling walking machines. In: Kimura H, Tsuchiya K, Ishiguro A, et al., eds. Adaptive Motion of Animals and Machines. 1st ed. Tokyo: Springer, 2006, 237–246 https://doi.org/10.1007/4-431-31381-8_21
9
M Khoramshahi, A Spröwitz, A Tuleu, et al.. Benefits of an active spine supported bounding locomotion with a small compliant quadruped robot. In: Proceedings of 2013 IEEE International Conference on Robotics and Automation. Karlsruhe: IEEE, 2013, 3329–3334 https://doi.org/10.1109/ICRA.2013.6631041
10
D Kuehn, F Beinersdorf, F Bernhard, et al.. Active spine and feet with increased sensing capabilities for walking robots. In: Proceedings of International Symposium on Artificial Intelligence, Robotics and Automation in Space. Karlsruhe: i-SAIRAS, 2012
11
T Takuma, M Ikeda, T Masuda. Facilitating multi-modal locomotion in a quadruped robot utilizing passive oscillation of the spine structure. In: Proceedings of 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems. Taipei: IEEE, 2010, 4940–4945 https://doi.org/10.1109/IROS.2010.5649134
12
G C Haynes, J Pusey, R Knopf, et al.. Laboratory on legs: An architecture for adjustable morphology with legged robots. Proceedings of SPIE: Unmanned Systems Technology XIV, 2012, 8387: 786–796 https://doi.org/10.1117/12.920678
13
S Seok, A Wang, M Y Chuah, et al.. Design principles for highly efficient quadrupeds and implementation on the MIT Cheetah robot. In: Proceedings of 2013 IEEE International Conference on Robotics and Automation. Karlsruhe: IEEE, 2013, 3307–3312 https://doi.org/10.1109/ICRA.2013.6631038
14
Q Zhao, B Ellenberger, H Sumioka, et al.. The effect of spine actuation and stiffness on a pneumatically-driven quadruped robot for cheetah-like locomotion. In: Proceedings of 2013 IEEE International Conference on Robotics and Biomimetics (ROBIO). Shenzhen: IEEE, 2013, 1807–1812 https://doi.org/10.1109/ROBIO.2013.6739730
J Zhao, P Wang, T Yang, et al.. Design of a novel modal space sliding mode controller for electro-hydraulic driven multi-dimensional force loading parallel mechanism. Instrument Society of America Transaction, 2020, 99: 374–386 https://doi.org/10.1016/j.isatra.2019.09.018
17
J Ghasemi, R Moradinezhad, M A Hosseini. Kinematic synthesis of parallel manipulator via neural network approach. International Journal of Engineering, 2019, 30(9): 1319–1325 https://doi.org/10.5829/ije.2017.30.09c.04
18
J Xu, Y Du, Y H Chen, et al.. Bivariate optimization for control design of interconnected uncertain nonlinear systems: A fuzzy set-theoretic approach. International Journal of Fuzzy Systems, 2018, 20(6): 1715–1729 https://doi.org/10.1007/s40815-018-0472-9
19
S Zhen, H Zhao, K Huang, et al.. A novel optimal robust control design of fuzzy mechanical systems. IEEE Transactions on Fuzzy Systems, 2015, 23(6): 2012–2023 https://doi.org/10.1109/TFUZZ.2015.2396077
20
M Faber, C Johnston, H C Schamhardt, et al.. Three-dimensional kinematics of the equine spine during canter. Equine Veterinary Journal, 2001, 33(S33): 145–149 https://doi.org/10.1111/j.2042-3306.2001.tb05378.x
21
J E Smeathers. A mechanical analysis of the mammalian lumber spine. Dissertation for the Doctoral Degree. Reading: University of Reading, 1981
22
D E Grondin, J R Potvin. Effects of trunk muscle fatigue and load timing on spinal responses during sudden hand loading. Journal of Electromyography and Kinesiology, 2009, 19(4): e237–e245 https://doi.org/10.1016/j.jelekin.2008.05.006
23
S Coros, A Karpathy, B Jones, et al.. Locomotion skills for simulated quadrupeds. ACM Transactions on Graphics, 2011, 30(4): 59 https://doi.org/10.1145/2010324.1964954
24
Y Zhu, B Jin, W Li, et al.. Optimal design of a hexapod walking robot based on energy consumption and workspace. Transactions of the Canadian Society for Mechanical Engineering, 2014, 38(3): 305–317 https://doi.org/10.1139/tcsme-2014-0022
25
J M Macpherson, Y Ye. The cat vertebral column: Stance configuration and range of motion. Experimental Brain Research, 1998, 119(3): 324–332 https://doi.org/10.1007/s002210050348
26
M Faber, H Schamhardt, R Weeren, et al.. Basic three-dimensional kinematics of the vertebral column of horses walking on a treadmill. American Journal of Veterinary Research, 2000, 61(4): 399–406 https://doi.org/10.2460/ajvr.2000.61.399
27
M Faber, C Johnston, H C Schamhardt, et al.. Basic three-dimensional kinematics of the vertebral column of horses trotting on a treadmill. American Journal of Veterinary Research, 2001, 62(5): 757–764 https://doi.org/10.2460/ajvr.2001.62.757
28
Y Zhu, S Zhou, D Gao, et al.. Synchronization of non-linear oscillators for neurobiologically inspired control on a bionic parallel waist of legged robot. Frontiers in Neurorobotics, 2019, 13: 59 https://doi.org/10.3389/fnbot.2019.00059
29
Y Zhu, Y Wu, Q Liu, et al.. A backward control based on σ-Hopf oscillator with decoupled parameters for smooth locomotion of bio-inspired legged robot. Robotics and Autonomous Systems, 2018, 106: 165–178 https://doi.org/10.1016/j.robot.2018.05.009
S M Deban, N Schilling, D R Carrier. Activity of extrinsic limb muscles in dogs at walk, trot and gallop. Journal of Experimental Biology, 2012, 215(2): 287–300 https://doi.org/10.1242/jeb.063230
32
A P Sabelhaus, A K Akella, Z A Ahmad, et al.. Model-predictive control of a flexible spine robot. In: Proceedings of 2017 American Control Conference (ACC). Seattle: IEEE, 2017 https://doi.org/10.23919/ACC.2017.7963738
33
R Kawasaki, R Sato, E Kazama, et al.. Development of a flexible coupled spine mechanism for a small quadruped robot. In: Proceedings of 2016 IEEE International Conference on Robotics and Biomimetics (ROBIO). Qingdao: IEEE, 2016 https://doi.org/10.1109/ROBIO.2016.7866300
34
S M Danner, S D Wilshin, N A Shevtsova, et al.. Central control of interlimb coordination and speed dependent gait expression in quadrupeds. Journal of Physiology, 2016, 594(23): 6947–6967 https://doi.org/10.1113/JP272787
35
Y G Zhu, L Zhang, P Manoonpong. Virtual motoneuron activation for goal-directed locomotion of a hexapod robot. In: Proceedings of 2020 5th International Conference on Advanced Robotics and Mechatronics (ICARM). Shenzhen: IEEE, 2020, 380–386 https://doi.org/10.1109/ICARM49381.2020.9195387
36
Y Zhu, L Zhang, P Manoonpong. Generic mechanism for waveform regulation and synchronization of oscillators: An application for robot behavior diversity generation. IEEE Transactions on Cybernetics, 2020 (in press) https://doi.org/10.1109/TCYB.2020.3029062
37
M Thor, P Manoonpong. Error-based learning mechanism for fast online adaptation in robot motor control. IEEE Transactions on Neural Networks and Learning Systems, 2019, 31(6): 2042–2051 https://doi.org/10.1109/TNNLS.2019.2927737
38
G Ren, W Chen, S Dasgupta, et al.. Multiple chaotic central pattern generators with learning for legged locomotion and malfunction compensation. Information Sciences, 2015, 294: 666–682 https://doi.org/10.1016/j.ins.2014.05.001