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Observer design for apex height and vertical velocity of a single-leg hopping robot during stance phase

Published online by Cambridge University Press:  06 October 2021

Ashish Prakash Open the ORCID record for Ashish Prakash [Opens in a new window]  and
Gagan Deep Meena Open the ORCID record for Gagan Deep Meena [Opens in a new window]
Ashish Prakash
Affiliation:
Electrical Engineering, National Institute of Technology Patna, Bihar800005, India, www.nitp.ac.in
Gagan Deep Meena*
Affiliation:
Electrical Engineering, National Institute of Technology Patna, Bihar800005, India, www.nitp.ac.in
*
*Corresponding author. E-mail: gagandeep.ee@nitp.ac.in
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Abstract

This article proposes an observer design for two important variables in the studies of single-leg hopping robot (SLHR), the apex height, and the vertical velocity of SLHR during its stance phase. At first, the Euler–Lagrange (EL) dynamics of SLHR are obtained and apex height is identified in the state-space representation of the EL dynamics. Apex height is the state variable that represents the robot body’s height at the top point, which keeps on changing as the robot functions. Vertical velocity is the velocity of the robot in the vertical direction. An observer design is presented in this article which will estimate these variables when required. The quality of the estimation is validated by the simulation results where the estimation error is zero which means the model output is correct and observer performance is good.

Keywords

SLHREuler–Lagrange dynamicsObserver designApex heightHopping
Type
Research Article
Information
Robotica , Volume 40 , Issue 6 , June 2022 , pp. 1868 - 1879
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

Liu, J., Tan, M. and Zhao, X., “Legged robots — An overview,” Trans. Inst. Meas. Cont. 29(2), 185–202 (2007).CrossRefGoogle Scholar
IFR, WR Industrial Robots 2017 (Statistical Department IFR Germany, Germany, 2017).Google Scholar
Campion, G. and Chung, W., “Wheeled Robots,” In: Springer Handbook of Robotics (Siciliano, B. and Khatib, O., eds.) (Springer, 2008) pp. 391–410.CrossRefGoogle Scholar
Li, Z. and He, J., “An Energy Perturbation Approach to Limit Cycle Analysis in Legged Locomotion Systems,” 29th IEEE Conference on Decision and Control, vol. 3 (1990) pp. 1989–1994.Google Scholar
Berkemeir, M. D. and Fearing, R. S., “Control of a Two-Link Robot to Achieve Sliding and Hopping Gaits,” Proceedings 1992 IEEE International Conference on Robotics and Automation, vol. 1 (1992) pp. 286–291.Google Scholar
Lebaudy, A., Presser, J. and Kam, M., “Control Algorithms for a Vertically-Constrained One-Legged Hopping Machine,” Proceedings of 32nd IEEE Conference on Decision and Control, vol. 3 (1993) pp. 2688–2693.Google Scholar
Gregorio, P., Ahmadi, M. and Buehler, M., “Design, Control, and Energetics of An Electrically Actuated Legged Robot,” IEEE Trans. Syst. Man Cybernet. B (Cybernet.) 27(4), 626–634 (1997).CrossRefGoogle Scholar
Fiorini, P., Hayati, S., Heverly, M. and Gensler, J., “A Hopping Robot for Planetary Exploration,” In: 1999 IEEE Aerospace Conference. Proceedings (Cat. No.99TH8403), vol. 2 (1999) pp. 153–158.Google Scholar
Hyon, S.-H. and Emura, T., “Energy-preserving control of a passive one-legged running robot,” Adv. Robot. 18, 357–381 (2004).Google Scholar
Cherouvim, N. and Papadopoulos, E., “Single Actuator Control Analysis of a Planar 3DoF Hopping Robot,” In: Robotics: Science and Systems (2005).CrossRefGoogle Scholar
Sayyad, A., Seth, B. and Seshu, P., “Single-legged hopping robotics Research—a review,” Robotica 25(5), 587–613 (2007).CrossRefGoogle Scholar
Zhou, Y., Fu, C., Yun, C., Yu, Z. and Chen, K., “Control of One-Legged Robot Hopping in Place,” 2013 IEEE International Conference on Robotics and Biomimetics (ROBIO) (2013) pp. 1832–1837.Google Scholar
Sayyad, A., Seth, B. and Issac, K., Dynamics and Control of a One-Legged 2-D SLOM Hopping Robot (2007).Google Scholar
Lawson, B. E., Mitchell, J., Truex, D., Shultz, A., Ledoux, E. and Goldfarb, M., “A robotic leg prosthesis: Design, control, and implementation,” IEEE Robot. Automat. Mag. 21(4), 70–81 (2014).CrossRefGoogle Scholar
Azocar, A. F., Mooney, L. M., Hargrove, L. J. and Rouse, E. J., “Design and Characterization of An Open-Source Robotic Leg Prosthesis,” 2018 7th IEEE International Conference on Biomedical Robotics and Biomechatronics (Biorob) (2018) pp. 111–118.Google Scholar
Kajita, S. and Espiau, B., Legged Robots (Springer Berlin Heidelberg, Berlin, Heidelberg, 2008) pp. 361–389.Google Scholar
Cherouvim, N. and Papadopoulos, E., “Control of Hopping Speed and Height Over Unknown Rough Terrain Using a Single Actuator,” 2009 IEEE International Conference on Robotics and Automation (2009) pp. 2743–2748.Google Scholar
Siradjuddin, I., Z. Amalia, E. Rohadi, B. Setiawan, A. Setiawan, R. I. Putri and E. Yudaningtyas, “State-feedback control with a full-state estimator for a cart-inverted pendulum system,” Int. J. Eng. Technol. 7(4.44), 203–209 (2018).CrossRefGoogle Scholar
Raibert, M. H., “Dynamically stable legged locomotion: Progress report: October 1982 - October 1983 (January 1983).CrossRefGoogle Scholar
Cherouvim, N. and Papadopoulos, E., “The SAHR setup–controlling hopping speed and height using a single actuator,” Appl. Bionics Biomech. 5(3), 149–156 (2008).Google Scholar
Lynch, K. M. and Park, F. C., Modern Robotics: Mechanics, Planning, and Control (Cambridge University Press, 2017).Google Scholar
Cherouvim, N. and Papadopoulos, E., “Energy saving passive-dynamic gait for a one-legged hopping robot,” Robotica 24(4), 491–498 (2006).CrossRefGoogle Scholar
Yu, X., Fu, C. and Chen, K., “Modeling and control of a single-legged robot,” Proc. Eng. 24, 788–792 (2011). International Conference on Advances in Engineering 2011. CrossRefGoogle Scholar
Morin, D., The Lagrangian Method (Cambridge University Press, 2008) pp. 218–280.Google Scholar
Chen, C.-T., Linear System Theory and Design, 3rd edition (Oxford University Press, Inc., USA, 1998).Google Scholar
Ogata, K., Modern Control Engineering, 5th edition, International edition (Pearson, Boston, [Mass.], 2011).Google Scholar