Locomotion Effects of Redundant Degrees of Freedom in Multi-Legged Quadruped Robots

Authors: Hossein Keshavarz, Alejandro Ramirez-Serrano

Abstract:

Energy efficiency and locomotion speed are two key parameters for legged robots, thus finding ways to improve them are important. This paper proposes a locomotion framework to analyze the energy usage and speed of quadruped robots via a Genetic Algorithm (GA) optimization process. For this, a quadruped robot platform with joint redundancy in its hind legs that we believe will help multi-legged robots improve their speed and energy consumption is used. ContinuO, the quadruped robot of interest, has 14 active degrees of freedom (DoFs), including three DoFs for each front leg, and unlike previously developed quadruped robots, four DoFs for each hind leg. ContinuO aims to realize a cost-effective quadruped robot for real-world scenarios with high-speeds and the ability to overcome large obstructions. The proposed framework is used to locomote the robot and analyze its energy consumed at diverse stride lengths and locomotion speeds. The analysis is performed by comparing the obtained results in two modes, with and without the joint redundancy on the robot’s hind legs.

Keywords: Genetic algorithm optimization, locomotion path planning, quadruped robots, redundant legs.

References:

[1] J. Wang, K. Lu, S. Xu, and Y. Lei, “Research situation and prospect on quadruped walking robot,” Manuf Autom, vol. 31, no. 2, pp. 4–6, 2009.
[2] M. Raibert, K. Blankespoor, G. Nelson, and R. Playter, “Bigdog, the rough-terrain quadruped robot,” IFAC Proceedings Volumes, vol. 41, no. 2, pp. 10 822–10 825, 2008.
[3] C. Semini, N. G. Tsagarakis, E. Guglielmino, M. Focchi, F. Cannella, and D. G. Caldwell, “Design of hyq–a hydraulically and electrically actuated quadruped robot,” Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, vol. 225, no. 6, pp. 831–849, 2011.
[4] S. Seok, A. Wang, M. Y. Chuah, D. Otten, J. Lang, and S. Kim, “Design principles for highly efficient quadrupeds and implementation on the mit cheetah robot,” in 2013 IEEE International Conference on Robotics and Automation. IEEE, 2013, pp. 3307–3312.
[5] Y. Wang and S. Boyd, “Fast model predictive control using online optimization,” IEEE Transactions on control systems technology, vol. 18, no. 2, pp. 267–278, 2009.
[6] S. Seok, A. Wang, M. Y. Chuah, D. J. Hyun, J. Lee, D. M. Otten, J. H. Lang, and S. Kim, “Design principles for energy-efficient legged locomotion and implementation on the mit cheetah robot,” Ieee/asme transactions on mechatronics, vol. 20, no. 3, pp. 1117–1129, 2014.
[7] B. Dynamics, “Cheetah robot runs 28.3 mph; a bit faster than usain bolt,” 2009.
[8] Introducing wildcat. Online. Available: https://www.youtube.com/ watch?v=wE3fmFTtP9g
[9] E. Garcia, J. C. Arevalo, G. Mu˜noz, and P. Gonzalez-de Santos, “Combining series elastic actuation and magneto-rheological damping for the control of agile locomotion,” Robotics and Autonomous Systems, vol. 59, no. 10, pp. 827–839, 2011.
[10] H.-W. Park and S. Kim, “The mit cheetah, an electrically-powered quadrupedal robot for high-speed running,” , vol. 32, no. 4, pp. 323–328, 2014.
[11] A. Spr¨owitz, A. Tuleu, M. Vespignani, M. Ajallooeian, E. Badri, and A. J. Ijspeert, “Towards dynamic trot gait locomotion: Design, control, and experiments with cheetah-cub, a compliant quadruped robot,” The International Journal of Robotics Research, vol. 32, no. 8, pp. 932–950, 2013.
[12] M. Sadedel, A. Yousefi-Koma, M. Khadiv, and M. Mahdavian, “Adding low-cost passive toe joints to the feet structure of surena iii humanoid robot,” Robotica, vol. 35, no. 11, pp. 2099–2121, 2017.
[13] G. Lu, T. Chen, Q. Liu, G. Zhang, X. Rong, and S. Wang, “A novel multi-configuration quadruped robot with redundant dofs and its application scenario analysis,” in 2021 International Conference on Computer, Control and Robotics (ICCCR). IEEE, 2021, pp. 14–20.
[14] H. Z. Ting, M. Hairi, M. Zaman, M. Ibrahim, and A. Moubark, “Kinematic analysis for trajectory planning of open-source 4-dof robot arm,” International Journal of Advanced Computer Science and Applications, vol. 12, no. 6, pp. 769–777, 2021.
[15] Q. Huang and Y. Nakamura, “Sensory reflex control for humanoid walking,” IEEE Transactions on Robotics, vol. 21, no. 5, pp. 977–984, 2005.