Abstract
This paper discusses an optimization method of the whole-body compliance for stable and robust control of a humanoid robot. In a previous study, one of the authors proposed resolving the virtual viscoelasticity at the center of gravity into the joint viscoelasticity, considering the redundant degrees of freedom, and named this method as resolved viscoelasticity control (RVC). However, the author considered only the relationship based on statics. In this study, the authors extend the previous work on the RVC by considering dynamics. This extension helps to realize stable and robust balancing. We also provide a comparison between the RVC and the control method based on the operational space formulation. The proposed method is validated using forward dynamics simulations.
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References
Vukobratović, M., Stepanenko, J.: On the stability of anthropomorphic systems. Math. Biosci. 15, 1–37 (1972)
Kajita, S., et al.: Biped walking pattern generation by using preview control of zero-moment point. In: Proceedings of IEEE ICRA, pp. 1620–1626 (2003)
Herdt, A., et al.: Online walking motion generation with automatic foot step placement. Adv. Robot. 24, 719–737 (2010)
Pratt, J., et al.: Capture point: a step toward humanoid push recovery. In: Proceedings of IEEE-RAS HUMANOIDS, pp. 200–207 (2006)
Koolen, T., et al.: Capturability-based analysis and control of legged locomotion, part 1: theory and application to three simple gait models. Int. J. Robot. Res. 31(9), 1094–1113 (2012)
Hyon, S.H., Hale, J., Cheng, G.: Full-body compliant human-humanoid interaction: balancing in the presence of unknown external forces. IEEE Trans. Robot. 23(5), 884–898 (2007)
Khatib, O.: A unified approach for motion and force control: the operational space formulation. IEEE Int. J. Robot. Autom. 3(1), 43–53 (1987)
Sentis, L., Park, J., Khatib, O.: Compliant control of multicontact and center-of-mass behaviors in humanoid robots. IEEE Trans. Rob. 26(3), 483–501 (2010)
Righetti, L., Schaal, S.: Quadratic programming for inverse dynamics with optimal distribution of contact forces. In: Proceedings of IEEE-RAS HUMANOIDS, pp. 538–543 (2012)
Wensing, P.M., Orin, D.E.: Generation of dynamic humanoid behaviors through task-space control with conic optimization. In: Proceedings of IEEE International Conference on Robotics and Automation, pp. 3088–3094 (2013)
Yamamoto, K.: Robust walking by resolved viscoelasticity control explicitly considering structure-variability of a humanoid. In: Proceedings IEEE ICRA, pp. 3461–3468 (2017)
Yamamoto, K., Ko, T., Murotani, K., Nakamura, Y.: Experimental validation of resolved viscoelasticity control on hydrostatically driven humanoid hydra. In: Proceedings of ISER (2018)
Ko, T., et al.: Compliant biped locomotion of hydra, an electro-hydrostatically driven humanoid. In: Proceedings of IEEE-RAS HUMANOIDS, pp. 587–592 (2018)
Murotani, K., Yamamoto, K., Ko, T., Nakamura, Y.: Resolved viscoelasticity control considering singularity for knee-stretched walking of a humanoid (under review). In: Proceedings of ICRA (2019)
Kaminaga, H., et al.: Mechanism and control of whole-body electro-hydrostatic actuator driven humanoid robot hydra. In: Proceedings of ISER (2016)
Cutkosky, M.R., Kao, I.: Computing and controlling the compliance of a robotic hand. IEEE Trans. Robot. Autom. 5(2), 151–165 (1989)
Athans, M.: The matrix minimum principle. Inf. Control 11(5–6), 592–606 (1968)
Yamamoto, K.: Humanoid motion analysis and control based on COG viscoelasticity. Adv. Robot. 31(7), 341–354 (2017)
Hua., D., Lancaster, P.: Linear matrix equations from an inverse problem of vibration theory. Linear Algebra Appl. 246(1996), 31–47 (1996)
Xie, D.x., Zeng, J.: The optimal approximation solution associated with a nonnegative definite constraint matrix equation. In: Proceedings of the Ninth International Conference on Machine Learning and Cybernetics, pp. 117–121 (2010)
Sugihara, T., Yamamoto, K., Nakamura, Y.: Hardware design of high performance miniature anthropomorphic robots. Robot. Auton. Syst. 56(1), 82–94 (2007)
Walker, M.W., Orin, D.E.: Efficient dynamic computer simulation of robotic mechanisms. ASME Tran. J. Dyn. Syst. Meas. Contr. 104, 205–211 (1982)
Sugihara, T.: Standing stabilizability and stepping maneuver in planar bipdedalism based on the best COM-ZMP regulator. In: Proceedings of IEEE ICRA, pp. 1966–1971 (2009)
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This work was supported by JSPS KAKENHI Grant Number 18K19802.
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Yamamoto, K., Nakamura, Y. (2022). Compliance Optimization Considering Dynamics for Whole-Body Control of a Humanoid. In: Asfour, T., Yoshida, E., Park, J., Christensen, H., Khatib, O. (eds) Robotics Research. ISRR 2019. Springer Proceedings in Advanced Robotics, vol 20. Springer, Cham. https://doi.org/10.1007/978-3-030-95459-8_54
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DOI: https://doi.org/10.1007/978-3-030-95459-8_54
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