Abstract
This work addresses the question whether active impedance control is key to a breakthrough for legged robots. In this paper, we will talk about controlling the mechanical impedance of joints and legs with a focus on stiffness and damping control. In contrast to passive elements like springs, active impedance is achieved by torque-controlled joints allowing real-time adjustment of stiffness and damping. We argue that legged robots require a high degree of versatility and flexibility to execute a wide range of assistive tasks to be truly useful to humans and thus to lead to a breakthrough. Adjustable stiffness and damping in realtime is a fundamental building block towards versatility. Experiments with our 80 kg hydraulic quadruped robot HyQ demonstrate that active impedance alone (thus no springs in the structure) can successfully emulate passively compliant elements during highly-dynamic locomotion tasks (running and hopping); and, that no springs are needed to protect the actuation system. Here we present results of a flying trot, also referred to as running trot. To the authors’ best knowledge this is the first time a flying trot was successfully implemented on a robot without passive elements such as springs. A critical discussion on the pros and cons of active impedance concludes the paper. An extended version of this paper has been published in IJRR in 2015 [43].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Compliance is the inverse of stiffness.
- 2.
Reduction gears are required to amplify the low output torque of electric motors.
- 3.
Note that we recently increased the hydraulic system pressure of the HyQ robot to 20 MPa, increasing the maximum torque of the hip and knee flexion/extension joints to 181 Nm.
- 4.
Note that the fact that models are required for good performance does not address the question where the model comes from. For robots it can sometimes be derived from CAD data, sometimes must be estimated/learned. For humans models are typically acquired by learning.
- 5.
It is worthwhile discussing these issues in the control theoretic notions of nominal behavior and disturbance reaction.
References
Barasuol, V., De Negri, V.J., De Pieri, E.R.: WCPG: a central pattern generator for legged robots based on workspaceintentions. In: Proceedings of the ASME Dynamic System and Control Conference (DSCC), pages 111–114 (2011)
Barasuol, V., Buchli, J., Semini, C., Frigerio, M., De Pieri, E.R., Caldwell, D.G.: A reactive controller framework for quadrupedal locomotion on challenging terrain. In: IEEE International Conference on Robotics and Automation (ICRA) (2013)
Blickhan, R.: The spring-mass model for running and hopping. Biomechanics 22, 1217–1227 (1989)
Boaventura, T., Semini, C., Buchli, J., Frigerio, M., Focchi, M., Caldwell. D.G.: Dynamic torque control of a hydraulic quadruped robot. In: IEEE International Conference in Robotics and Automation (ICRA), pp. 1889–1894 (2012)
Boaventura, T., Medrano-Cerda, G.A., Semini, C., Buchli, J., Caldwell, D.G.: Stability and performance of the compliance controller of the quadruped robot HYD. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (2013)
Bruce, P.G., Freunberger, S.A., Hardwick, L.J., Tarascon, J.-M.: Li-O2 and Li-S batteries with high energy storage. Nat. Mater. 11, 19–29 (2012)
Buchli, J., Kalakrishnan, M., Mistry, M., Pastor, P., Schaal, S.: Compliant quadruped locomotion over rough terrain. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 814–820 (2009)
Buehler, M., Battaglia, R., Cocosco, R., Hawker, G., Sarkis, J., Yamazaki, K.: SCOUT: a simple quadruped that walks, climbs, and runs. Int. Conf. Robot. Autom. (ICRA) 2, 1707–1712 (1998)
Burdet, E., Osu, R., Franklin, D., Milner, T., Kawato, M.: The central nervous system stabilizes unstable dynamics by learning optimal impedance. Nature 414(6862), 446–449 (2001)
Estremera, J., Waldron, K.J.: Thrust control, stabilization and energetics of a quadruped running robot. Int. J. Robot. Res. 27, 1135–1151 (2008)
Focchi, M., Boaventura, T., Semini, C., Frigerio, M., Buchli, J., Caldwell, D.G.: Torque-control based compliant actuation of a quadruped robot. In: Proceedings of the 12th IEEE International Workshop on Advanced Motion Control (AMC) (2012)
Franklin, D., Burdet, E., Osu, R., Kawato, M., Milner, T.: Functional significance of stiffness in adaptation of multijoint arm movements to stable and unstable dynamics. Exp. Brain Res. 151, 145–157 (2003)
Gehring, C., Coros, S., Hutter, M., Blösch, M., Höpflinger, M., Siegwart, R.: Control of dynamic gaits for a quadrupedal robot. In: IEEE International Conference on Robotics and Automation (ICRA) (2013)
Geyer, H., Herr, H.: A muscle-reflex model that encodes principles of legged mechanics produces human walking dynamics and muscle activities. IEEE Trans. Neural Syst. Rehabil. Eng. 18(3), 263–273 (2010)
Herzog, A., Righetti, L., Grimminger, F., Pastor, P., Schaal, S.: Momentum-based balance control for torque-controlled humanoids. In: arXiv preprint arXiv:1305.2042 (2013)
Hirzinger, G., Albu-Schäffer, A., Hahnle, M., Schaefer, I., Sporer, N.: On a new generation of torque controlled light-weight robots. In: IEEE International Conference on Robotics and Automation (ICRA), vol. 4, pp. 3356–3363 (2001)
Hogan, N.: Adaptive control of mechanical impedance by coactivation of antagonist muscles. IEEE Trans. Autom. Control 29, 681–690 (1984)
Hogan, N.: Impedance control: An approach to manipulation: Part I - Theory. ASME J. Dyn. Syst. Meas. Control 107, 1–7 (1985)
Hogan, N.: Impedance control: An approach to manipulation: Part II - Implementation. ASME J. Dyn. Syst. Meas. Control 107, 8–16 (1985)
Hutter, M., Gehring, C., Blösch, M., Höpflinger, M., Remy, C.D., Siegwart, R.: Starleth: A compliant quadrupedal robot for fast, efficient, and versatile locomotion. In: International Conference on Climbing and Walking Robots (CLAWAR) (2012)
Hyon, S., 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)
Ijspeert, A.J.: Central pattern generators for locomotion control in animals and robots: a review. Neural Netw. 21(4), 642–653 (2008)
Kandel, E., Schwartz, J., Jessell, T.: Principles of Neural Science, 4th edn, McGraw-Hill Medical, (2000)
Khatib, O.: A unified approach for motion and force control of robot manipulators: The operational space formulation. IEEE J. Robot. Autom. 3(1), 43–53 (1987)
Online Video: HyQ Robot: Flying Trot with Active Compliance: http://www.iit.it/hyq or http://www.youtube.com/watch?v=27lxHMp9LIA
Ott, C., Eiberger, O., Englsberger, J., Roa, M.A., Albu-Schäffer, A.: Hardware and control concept for an experimental bipedal robot with joint torque sensors. J. Robot. Soc. Jpn. 30(4), 378–382 (2012)
Pratt, G., Williamson, M.: Series elastic actuators. In: IEEE International Conference on Intelligent Robots and Systems (IROS) (1995)
Pratt, J., Chew, C., Torres, A., Dilworth, P., Pratt, G.: Virtual model control: An intuitive approach for bipedal locomotion. Int. J. Robot. Res 20(2), 129–143 (2001)
Raibert, M.H.: Legged Robots That Balance. The MIT Press, Cambridge (1986)
Raibert, M., Blankespoor, K., Nelson, G., Playter, R., the BigDog Team,: Bigdog, the rough-terrain quadruped robot. In: Proceedings of the 17th World Congress The International Federation of Automatic Control (IFAC) (2008)
Selen, L., Franklin, D., Wolpert, D.: Impedance control reduces instability that arises from motor noise. J Neurosci 29(40), 12606–16 (2009)
Semini, C.: HyQ—Design and Development of a Hydraulically Actuated Quadruped Robot. Ph.D thesis, Istituto Italiano di Tecnologia (IIT) (2010)
Semini, C., Tsagarakis, N.G., Guglielmino, E., Focchi, M., Cannella, F., Caldwell, D.G.: Design of HyQ—a hydraulically and electrically actuated quadruped robot. J. Syst. Control Eng. 225(6), 831–849 (2011)
Seok, S., Wang, A., Otten, D., Kim, S.: Actuator design for high force proprioceptive control in fast legged locomotion. In: IEEE/RSJ Intelligent Robots and Systems (IROS), pp. 1970–1975 (2012)
Seok, S., Wang, A., Chuah, M.Y.M., Otten, D., Lang, J., Kim, S.: Design principles for highly efficient quadrupeds and implementation on the mit cheetah robot. In: IEEE International Conference on Robotics and Automation (ICRA) (2013)
Shadmer, R., Arbib, M.: A mathematical analysis of the force-stiffness characteristics of muscles in control of a single joint system. Biol. Cybern. 66, 463–477 (1992)
Spröwitz, A., Tuleu, A., Vespignani, M., Ajallooeian, M., Badri, E., Ijspeert, A.: Towards dynamic trot gait locomotion-design, control and experiments with Cheetah-cub, a compliant quadruped robot. Int. J. Robot. Res 32(8), 933–951 (2013)
Sreenath, K., Park, H.W., Grizzle, J.W.: Design and experimental implementation of a compliant hybrid zero dynamics controller with active force control for running on mabel. In: IEEE International Conference in Robotics and Automation (ICRA) (2012)
Stephens, B., Atkeson, C.: Modeling and control of periodic humanoid balance using the linear biped model. In: IEEE-RAS International Conference on Humanoid Robots (Humanoids) (2010)
Tee, K., Franklin, D., Kawato, M., Milner, T., Burdet, E.: Concurrent adaptation of force and impedance in the redundant muscle system. Biol. Cybern. 120(1), 31–44 (2009)
Tsagarakis, N., Sardellitti, I., Caldwell, D.: A new variable stiffness actuator (compact-vsa): Design and modelling. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 378–383 (2011)
Vanderborght, B. et al.: Variable impedance actuators: a review. Robotics and Autonomous Systems (2013)
Semini, C., Barasuol, V., Boaventura, T., Frigerio, M., Focchi, M., Caldwell, D.G., Buchli, J.: Towards versatile legged robots through active impedance control. Int. J. Robot. Res 34(7), 1003–1020 (2015)
Acknowledgments
This research has been funded by the Fondazione Istituto Italiano di Tecnologia. The authors would like to thank CAPES for the scholarship granted to V. Barasuol (Grant Procs. 6463-11-8). T. Boaventura is partially funded through the EU Project BALANCE (Grant 601003 of the EU FP7 program). J. Buchli is supported by a Swiss National Science Foundation professorship. The authors would like to thank also the other members of the Dynamic Legged Systems Lab that contributed to the success of this project: M. Focchi, I. Havoutis, S. Bazeille, J. Goldsmith, H. Khan, B.Rehman, and our team of technicians.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Semini, C., Barasuol, V., Boaventura, T., Frigerio, M., Buchli, J. (2016). Is Active Impedance the Key to a Breakthrough for Legged Robots?. In: Inaba, M., Corke, P. (eds) Robotics Research. Springer Tracts in Advanced Robotics, vol 114. Springer, Cham. https://doi.org/10.1007/978-3-319-28872-7_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-28872-7_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-28870-3
Online ISBN: 978-3-319-28872-7
eBook Packages: EngineeringEngineering (R0)