Full paper to appear in ICRA 2018, available on arxiv at: arxiv.org/abs/1709.10273
Dynamic Locomotion Group
We show a simple case of using "training wheels", temporary hardware modifications, to shape the reward landscape and make learning easier.
Full paper to appear in ICRA 2018, available on arxiv at: arxiv.org/abs/1709.10273
Full paper to appear in ICRA 2018, available on arxiv at: arxiv.org/abs/1709.10273
updated 8 years ago
Full paper to appear in ICRA 2018, available on arxiv at: arxiv.org/abs/1709.10273
Kiss, B., Buchmann, A., Renjewski, D., Badri-Spröwitz, A., 2025. Passive knee flexion increases forward impulse of the trailing leg during the step-to-step transition. Sci Rep 15, 1–17. doi.org/10.1038/s41598-025-95589-4.
Paper online:
rdcu.be/ehNx0 (rdcu.be/ehNx0)
CAD design files of the EcoWalker-2 robot, control code, data analysis and visualization code, and experimental data are available for non-commercial use at:
doi.org/10.17617/3.BJ584M
Abstract:
During walking, the brain and nervous system coordinate muscle activity to efficiently regulate body movement. Simultaneously, passive structures in the legs interact with the ground, generating reaction forces that contribute to leg and body motion. A well-known example of this active-passive coordination is the human ankle, which plays a crucial role in propelling both the leg and the entire body forward with each step. Human walking efficiency relies on the elastic recoil of the Achilles tendon, facilitated by a “catapult mechanism” that stores energy during stance and releases it during push-off. The catapult release mechanism could include the passive flexion of the knee, as the main part of knee flexion was reported to happen passively after leading leg touch-down. This study is the first to investigate the effects of passive versus active knee flexion initiation, using the bipedal EcoWalker-2 robot with passive ankles. By leveraging the precision of robotic measurements, this study aimed to elucidate the importance of timing of gait events and its impact on momentum and kinetic energy changes of the robot. The EcoWalker-2 walked successfully with both initiation methods, maintaining toe clearance. Passive knee flexion initiation delayed the onset of ankle plantar flexion by 3% of the gait cycle compared to active knee flexion initiation, leading to 87% larger increase in the trailing leg horizontal momentum, and 188% larger magnitude increase in the center of mass momentum vector during the step-to-step transition. The findings highlight the role of knee flexion in the release of the catapult and timing of gait events. These insights contribute to improving the control and mechanics of human-centered robotic and assistive devices. Specifically, enabling passive knee flexion initiation could be beneficial in humanoid robots with passive ankles, and in ankle-knee prostheses and orthoses with passive ankles for saving on control effort, and reducing hardware complexity otherwise required for active knee flexion before the step-to-step transition. Additionally, this approach enhances horizontal momentum gain in the trailing leg during the step-to step transition, with the potential to improve locomotion efficiency.
Kiss, B., Buchmann, A., Renjewski, D., Badri-Spröwitz, A., 2025. Passive knee flexion increases forward impulse of the trailing leg during the step-to-step transition. Sci Rep 15, 1–17. doi.org/10.1038/s41598-025-95589-4.
Paper online:
rdcu.be/ehNx0 (rdcu.be/ehNx0)
CAD design files of the EcoWalker-2 robot, control code, data analysis and visualization code, and experimental data are available for non-commercial use at:
doi.org/10.17617/3.BJ584M
Abstract:
During walking, the brain and nervous system coordinate muscle activity to efficiently regulate body movement. Simultaneously, passive structures in the legs interact with the ground, generating reaction forces that contribute to leg and body motion. A well-known example of this active-passive coordination is the human ankle, which plays a crucial role in propelling both the leg and the entire body forward with each step. Human walking efficiency relies on the elastic recoil of the Achilles tendon, facilitated by a “catapult mechanism” that stores energy during stance and releases it during push-off. The catapult release mechanism could include the passive flexion of the knee, as the main part of knee flexion was reported to happen passively after leading leg touch-down. This study is the first to investigate the effects of passive versus active knee flexion initiation, using the bipedal EcoWalker-2 robot with passive ankles. By leveraging the precision of robotic measurements, this study aimed to elucidate the importance of timing of gait events and its impact on momentum and kinetic energy changes of the robot. The EcoWalker-2 walked successfully with both initiation methods, maintaining toe clearance. Passive knee flexion initiation delayed the onset of ankle plantar flexion by 3% of the gait cycle compared to active knee flexion initiation, leading to 87% larger increase in the trailing leg horizontal momentum, and 188% larger magnitude increase in the center of mass momentum vector during the step-to-step transition. The findings highlight the role of knee flexion in the release of the catapult and timing of gait events. These insights contribute to improving the control and mechanics of human-centered robotic and assistive devices. Specifically, enabling passive knee flexion initiation could be beneficial in humanoid robots with passive ankles, and in ankle-knee prostheses and orthoses with passive ankles for saving on control effort, and reducing hardware complexity otherwise required for active knee flexion before the step-to-step transition. Additionally, this approach enhances horizontal momentum gain in the trailing leg during the step-to step transition, with the potential to improve locomotion efficiency.
Related publication: Kiss, Bernadett, Emre Cemal Gonen, An Mo, Alexandra Buchmann, Daniel Renjewski, and Alexander Badri-Spröwitz. “Gastrocnemius and Power Amplifier Soleus Spring-Tendons Achieve Fast Human-like Walking in a Bipedal Robot.” In Proceedings of IROS2022. arXiv, 2022. doi.org/10.48550/arXiv.2203.01588.
We open source both (pybullet) simulation model and hardware design: github.com/nayan-pradhan/solo-6dof-motion-platform
More details are in the paper: http://arxiv.org/abs/2303.17974
Mo, An, Fabio Izzi, Emre Cemal Gönen, Daniel Haeufle, and Alexander Badri-Spröwitz. “Slack-Based Tunable Damping Leads to a Trade-off between Robustness and Efficiency in Legged Locomotion.” Scientific Reports 13, no. 1 (February 25, 2023): 3290. doi.org/10.1038/s41598-023-30318-3.
Link to Bernadett's research page https://is.mpg.de/person/kiss
More Ecowalker research youtube.com/watch?v=T79pKLQ47XU
nature.com/articles/s42256-022-00505-4
Animals show agile locomotion performance with reduced control effort and energy efficiency by leveraging compliance in their muscles and tendons. However, it remains a question how biological locomotion controllers learn to leverage the intelligence embodied in their leg mechanics. Here we present a framework to match control patterns and mechanics based on the concept of short-term elasticity and long-term plasticity. Inspired by animals we design robot Morti with passive elastic legs. The quadruped is controlled by a bioinspired closed-loop central pattern generator that is designed to elastically mitigate short term perturbations using sparse contact feedback. By minimizing the amount of corrective feedback in the long term, the robot learns to match the controller to its mechanics and learns to walk within one hour. By leveraging the advantages of its mechanics, the robot improves its energy efficiency by 42% without explicit minimization in the cost function.
Robot speed is v=0.75m/s, at a leg length of 0.29m (Froude number Fr=v2/gl=0.18)
Publication: Badri-Spröwitz, A., Sarvestani, A. A., Sitti, M., & Daley, M. A. (2022). BirdBot achieves energy-efficient gait with minimal control using avian-inspired leg clutching. Science Robotics. doi.org/10.1126/scirobotics.abg4055
The free-access referral link can be found on https://is.mpg.de/publications/bb01
More information at https://is.mpg.de/publications/bb01
CAD files are available for non-commercial use https://edmond.mpdl.mpg.de/dataset.xhtml?persistentId=doi:10.17617/3.ETFG41
The free-access referral link can be found on science.org/stoken/author-tokens/ST-383/full
More information at https://is.mpg.de/publications/bb01
CAD files are available for non-commercial use https://edmond.mpdl.mpg.de/dataset.xhtml?persistentId=doi:10.17617/3.ETFG41
Published: Spröwitz, Tuleu, Vespignani, Ajallooeian, Badri, Ijspeert: Towards Dynamic Trot Gait Locomotion: Design, Control, and Experiments with Cheetah-cub, a Compliant Quadruped Robot. The International Journal of Robotics Research 32 (8), pp. 932-950 (2013) doi: 10.1177/0278364913489205
Published by: Spröwitz, Tuleu, Vespignani, Ajallooeian, Badri, Ijspeert: Towards Dynamic Trot Gait Locomotion: Design, Control, and Experiments with Cheetah-cub, a Compliant Quadruped Robot. The International Journal of Robotics Research 32 (8), pp. 932-950 (2013) doi: 10.1177/0278364913489205
Fluidic actuators allow versatile, agile, and powerful motions and are commonly applied in robotics and automation. Likewise, many biological systems use fluidic actuators implemented with tissue for a wealth of tasks and performances. Spiders for example apply a hybrid mechanism of hydraulically actuated joint extension and muscle-based joint flexion to produce movement in two of their seven leg joints. Here, we present a novel spider-inspired joint mechanism employing both pneumatics and electrically-actuated tendons capable of strong, dynamic, and rapid joint movement. The implementation of the joint is closely inspired by those seen in real spiders, with a foldable structured membrane that effectively transfers all the energy from pressure to torque as the leg unfolds. To evaluate the mechanism we derived static joint models and a simple jumping model, and conducted equivalent experimental tests with a prototype of a single jumping leg robot. Besides applications in robot locomotion, the implementation and modeling of the spider-inspired joint mechanism can be utilized to further explore dynamics and functional biomechanics in spiders. In the future, we hope to use this platform to answer questions related to the impressive jumping and locomotion performances of real arachnids, and explore what morphological traits lie behind efficient spider locomotion at different size scales.
Work at Max Planck Institute for Intelligent Systems, Stuttgart, Germany.
The biarticular leg shows, to the best of our knowledge, the lowest achieved relative cost of transport documented for dynamically hopping and running robots; the biart-leg hops with a cost of transport that is 64% lower than an average natural runner of comparable weight.
Published article:
frontiersin.org/articles/10.3389/fnbot.2019.00064
Here shown high speed video footage of four FootTiles mounted to an elastic leg dropping into a soft ground (mud). In our paper below we compare externally measured ground reaction forces with the FootTile-measured forces.
arxiv.org/abs/2005.09025
Ruppert, Felix, and Alexander Badri-Spröwitz. “FootTile: A Rugged Foot Sensor for Force and Center of Pressure Sensing in Soft Terrain.” In 2020 IEEE International Conference on Robotics and Automation (ICRA), 4810–16. IEEE, 2020. doi.org/10.1109/ICRA40945.2020.9197466.
Here shown high speed video footage of four FootTiles mounted to an elastic leg dropping into a soft, granular substrate (seeds). In our paper below we compare externally measured ground reaction forces with the FootTile-measured forces.
arxiv.org/abs/2005.09025
Ruppert, Felix, and Alexander Badri-Spröwitz. “FootTile: A Rugged Foot Sensor for Force and Center of Pressure Sensing in Soft Terrain.” In 2020 IEEE International Conference on Robotics and Automation (ICRA), 4810–16. IEEE, 2020. doi.org/10.1109/ICRA40945.2020.9197466.
The biarticular leg shows, to the best of our knowledge, the lowest achieved relative cost of transport documented for dynamically hopping and running robots; the biart-leg hops with a cost of transport that is 64% lower than an average natural runner of comparable weight.
Published article:
frontiersin.org/articles/10.3389/fnbot.2019.00064
frontiersin.org/articles/10.3389/frobt.2018.00067/full
Oncilla robot walking in front of EPFL.
A Novel Spider-Inspired Rotary-Rolling Diaphragm Actuator with Linear Torque Characteristic and High Mechanical Efficiency
authors:
Jonas Hepp and Alexander Badri-Spröwitz
publication (open access):
liebertpub.com/doi/10.1089/soro.2020.0108
abstract:
We present a novel, fluid-driven rotary-rolling diaphragm actuator with direct rotary output. Its working principle is inspired by the spider leg's hydraulically operated joints and the diaphragm design of rolling diaphragm actuators. The new actuator is fully sealed, shows minimal output torque losses, and minimum friction during operation. Stiction and Coulomb friction are avoided by design. Our proposed mechanism can be used as a compliant actuator in soft robots, or as a stiff transmission device, depending on the fluid and working pressure. The rotary-rolling diaphragm is the defining component of the actuator. The diaphragm is based on silicone rubber, reinforced by a fabric with anisotropic tensile strength characteristics. The diaphragm is custom-designed to follow the actuator's toroidal shape and to ensure the smooth unrolling behavior throughout the stroke. Our actuator outputs a constant torque throughout its stroke compared with monolithic, rotary soft robot actuators with a change in torque. Our design offers a high mechanical efficiency of 95%, compactness, a wide working range of 100°, and a low mechanical complexity from a single chamber.
Hybrid Parallel Compliance Allows Robots to Operate With Sensorimotor Delays and Low Control Frequencies
Published in
Front. Robot. AI, 16 June 2021
DOI
doi.org/10.3389/frobt.2021.645748
Abstract
Animals locomote robustly and agile, albeit significant sensorimotor delays of their nervous system and the harsh loading conditions resulting from repeated, high-frequent impacts. The engineered sensorimotor control in legged robots is implemented with high control frequencies, often in the kilohertz range. Consequently, robot sensors and actuators can be polled within a few milliseconds. However, especially at harsh impacts with unknown touch-down timing, controllers of legged robots can become unstable, while animals are seemingly not affected. We examine this discrepancy and suggest and implement a hybrid system consisting of a parallel compliant leg joint with varying amounts of passive stiffness and a virtual leg length controller. We present systematic experiments both in computer simulation and robot hardware. Our system shows previously unseen robustness, in the presence of sensorimotor delays up to 60 ms, or control frequencies as low as 20 Hz, for a drop landing task from 1.3 leg lengths high and with a compliance ratio (fraction of physical stiffness of the sum of virtual and physical stiffness) of 0.7. In computer simulations, we report successful drop-landings from 3.8 leg lengths (1.2 m) for a 2 kg quadruped robot with 100 Hz control frequency and a sensorimotor delay of 35 ms.
Hybrid Parallel Compliance Allows Robots to Operate With Sensorimotor Delays and Low Control Frequencies
Published in
Front. Robot. AI, 16 June 2021
DOI
doi.org/10.3389/frobt.2021.645748
Abstract
Animals locomote robustly and agile, albeit significant sensorimotor delays of their nervous system and the harsh loading conditions resulting from repeated, high-frequent impacts. The engineered sensorimotor control in legged robots is implemented with high control frequencies, often in the kilohertz range. Consequently, robot sensors and actuators can be polled within a few milliseconds. However, especially at harsh impacts with unknown touch-down timing, controllers of legged robots can become unstable, while animals are seemingly not affected. We examine this discrepancy and suggest and implement a hybrid system consisting of a parallel compliant leg joint with varying amounts of passive stiffness and a virtual leg length controller. We present systematic experiments both in computer simulation and robot hardware. Our system shows previously unseen robustness, in the presence of sensorimotor delays up to 60 ms, or control frequencies as low as 20 Hz, for a drop landing task from 1.3 leg lengths high and with a compliance ratio (fraction of physical stiffness of the sum of virtual and physical stiffness) of 0.7. In computer simulations, we report successful drop-landings from 3.8 leg lengths (1.2 m) for a 2 kg quadruped robot with 100 Hz control frequency and a sensorimotor delay of 35 ms.
academic.oup.com/iob/advance-article/doi/10.1093/iob/obaa037/5943883
Birds are diverse and agile vertebrates capable of aerial, terrestrial, aquatic, and arboreal locomotion. Evidence suggests that birds possess a novel balance sensing organ in the lumbosacral spinal canal, a structure referred to as the “lumbosacral organ” (LSO), which may contribute to their locomotor agility and evolutionary success. The mechanosensing mechanism of this organ remains unclear. Here we quantify the 3D anatomy of the lumbosacral region of the common quail, focusing on establishing the geometric and biomechanical properties relevant to potential mechanosensing functions. We combine digital and classic dissection to create a 3D anatomical model of the quail LSO and estimate the capacity for displacement and deformation of the soft tissues. We observe a hammock-like network of denticulate ligaments supporting the lumbosacral spinal cord, with a close association between the accessory lobes and ligamentous intersections. The relatively dense glycogen body has the potential to apply loads sufficient to pre-stress denticulate ligaments, enabling external accelerations to excite tuned oscillations in the LSO soft tissue, leading to strain-based mechanosensing in the accessory lobe neurons. Considering these anatomical features together, the structure of the LSO is reminiscent of a mass-spring-based accelerometer.
Full publication: Heim, Steve, Matthew Millard, Charlotte Le Mouel, and Alexander Badri-Spröwitz. “A Little Damping Goes a Long Way: A Simulation Study of How Damping Influences Task-Level Stability in Running.” Biology Letters 16, no. 9 (September 30, 2020): 20200467. doi.org/10.1098/rsbl.2020.0467.
abstract: Muscle models and animal observations suggest that physical damping is beneficial for stabilization. Still, only a few implementations of physical damping exist in compliant robotic legged locomotion. It remains unclear how physical damping can be exploited for locomotion tasks, while its advantages as sensor-free, adaptive force- and negative work-producing actuators are promising. In a simplified numerical leg model, we studied the energy dissipation from viscous and Coulomb damping during vertical drops with ground-level perturbations. A parallel spring- damper is engaged between touch-down and mid-stance, and its damper auto-decouples from mid-stance to takeoff. Our simulations indicate that an adjustable and viscous damper is desired. In hardware we explored effective viscous damping and adjustability, and quantified the dissipated energy. We tested two mechanical, leg-mounted damping mechanisms: a commercial hydraulic damper, and a custom-made pneumatic damper. The pneumatic damper exploits a rolling diaphragm with an adjustable orifice, minimizing Coulomb damping effects while permitting adjustable resistance. Experimental results show that the leg-mounted, hydraulic damper exhibits the most effective viscous damping. Adjusting the orifice setting did not result in substantial changes of dissipated energy per drop, unlike adjusting the damping parameters in the numerical model. Consequently, we also emphasize the importance of characterizing physical dampers during real legged impacts to evaluate their effectiveness for compliant legged locomotion.
Drama, Özge, and Alexander Spröwitz. “Trunk Pitch Oscillations for Energy Trade-Offs in Bipedal Running Birds and Robots.” Bioinspiration & Biomimetics 15, no. 3 (2020): 036013.
doi.org/10.1088/1748-3190/ab7570
arxiv.org/abs/1909.09378
Heim, Steve, and Alexander Spröwitz. “Beyond Basins of Attraction: Quantifying Robustness of Natural Dynamics.” IEEE Transactions on Robotics 35, no. 4 (August 2019): 939--952.
Preprint on arXiv arxiv.org/abs/1806.08081
Ruppert, Felix, and Alexander Badri-Spröwitz. “FootTile: A Rugged Foot Sensor for Force and Center of Pressure Sensing in Soft Terrain,” 2020. http://arxiv.org/abs/2005.09025.
authors: Felix Ruppert and Alexander Badri-Spröwitz
From publication: Spröwitz, Alexander, Rico Moeckel, Jerome Maye, and Auke Jan Ijspeert. “Learning to Move in Modular Robots Using Central Pattern Generators and Online Optimization.” The International Journal of Robotics Research 27, no. 3–4 (March 1, 2008): 423–43. doi.org/10.1177/0278364907088401.
From publication: Spröwitz, Alexander, Rico Moeckel, Jerome Maye, and Auke Jan Ijspeert. “Learning to Move in Modular Robots Using Central Pattern Generators and Online Optimization.” The International Journal of Robotics Research 27, no. 3–4 (March 1, 2008): 423–43. doi.org/10.1177/0278364907088401.
From publication: Spröwitz, Alexander, Rico Moeckel, Jerome Maye, and Auke Jan Ijspeert. “Learning to Move in Modular Robots Using Central Pattern Generators and Online Optimization.” The International Journal of Robotics Research 27, no. 3–4 (March 1, 2008): 423–43. doi.org/10.1177/0278364907088401.
From publication: Spröwitz, Alexander, Rico Moeckel, Jerome Maye, and Auke Jan Ijspeert. “Learning to Move in Modular Robots Using Central Pattern Generators and Online Optimization.” The International Journal of Robotics Research 27, no. 3–4 (March 1, 2008): 423–43. doi.org/10.1177/0278364907088401.
Accepted for publication in Frontiers in Neurorobotics (07/2019)
frontiersin.org/articles/10.3389/fnbot.2019.00064/abstract
Steve Heim, Felix Ruppert, Alborz A. Sarvestani, and Alexander Spröwitz, "Shaping in Practice: Training Wheels to Learn Fast Hopping Directly in Hardware", accepted for ICRA2018, Brisbane, Australia
Edition, FX and composition: Alejandro Posada Boada
Fluidic actuators allow versatile, agile, and powerful motions and are commonly applied in robotics and automation. Likewise, many biological systems use fluidic actuators implemented with tissue for a wealth of tasks and performances. Spiders for example apply a hybrid mechanism of hydraulically actuated joint extension and muscle-based joint flexion to produce movement in two of their seven leg joints. Here, we present a novel spider-inspired joint mechanism employing both pneumatics and electrically-actuated tendons capable of strong, dynamic, and rapid joint movement. The implementation of the joint is closely inspired by those seen in real spiders, with a foldable structured membrane that effectively transfers all the energy from pressure to torque as the leg unfolds. To evaluate the mechanism we derived static joint models and a simple jumping model, and conducted equivalent experimental tests with a prototype of a single jumping leg robot. Besides applications in robot locomotion, the implementation and modeling of the spider-inspired joint mechanism can be utilized to further explore dynamics and functional biomechanics in spiders. In the future, we hope to use this platform to answer questions related to the impressive jumping and locomotion performances of real arachnids, and explore what morphological traits lie behind efficient spider locomotion at different size scales.
Work at Max Planck Institute for Intelligent Systems, Stuttgart, Germany.
Video cut and animation by C. Göttler.
Published in: Khoramshahi , M.; Spröwitz, A.; Tuleu, A.; Ahmadabadi, M. N.; Ijspeert, A. J.: Benefits of an active spine supported bounding locomotion with a small compliant quadruped robot. In: Proceedings of the 2013 IEEE International Conference on Robotics and Automation (ICRA), pp. 3329-3334. Karlsruhe, May 06, 2013 - May 10, 2013. IEEE, New York, NY (2013)
Published in: Spröwitz, A.; Tuleu, A.; Vespignani, M.; Ajallooeian, M.; Badri, E.; Ijspeert, A. J.: Towards Dynamic Trot Gait Locomotion: Design, Control, and Experiments with Cheetah-cub, a Compliant Quadruped Robot. The International Journal of Robotics Research 32 (8), pp. 932-950 (2013)
Published in: Spröwitz, A.; Tuleu, A.; Vespignani, M.; Ajallooeian, M.; Badri, E.; Ijspeert, A. J.: Towards Dynamic Trot Gait Locomotion: Design, Control, and Experiments with Cheetah-cub, a Compliant Quadruped Robot. The International Journal of Robotics Research 32 (8), pp. 932-950 (2013)
Published in: Spröwitz, A.; Tuleu, A.; Vespignani, M.; Ajallooeian, M.; Badri, E.; Ijspeert, A. J.: Towards Dynamic Trot Gait Locomotion: Design, Control, and Experiments with Cheetah-cub, a Compliant Quadruped Robot. The International Journal of Robotics Research 32 (8), pp. 932-950 (2013)
Published in: Spröwitz, A.; Tuleu, A.; Vespignani, M.; Ajallooeian, M.; Badri, E.; Ijspeert, A. J.: Towards Dynamic Trot Gait Locomotion: Design, Control, and Experiments with Cheetah-cub, a Compliant Quadruped Robot. The International Journal of Robotics Research 32 (8), pp. 932-950 (2013)
Published in: Spröwitz, A.; Tuleu, A.; Vespignani, M.; Ajallooeian, M.; Badri, E.; Ijspeert, A. J.: Towards Dynamic Trot Gait Locomotion: Design, Control, and Experiments with Cheetah-cub, a Compliant Quadruped Robot. The International Journal of Robotics Research 32 (8), pp. 932-950 (2013)


