Improving Energy Efficiency of Hopping Locomotion by Using a Variable Stiffness Actuator

In recent years, the development of legged locomotion robots that can achieve both efficiency and versatility has been one of the most important challenges in robotics research. In general, fully actuated systems that can achieve many variations of behaviors show comparatively low energy efficiency, while it is extremely difficult to enrich the behavioral diversity of passivity-based systems that exhibit efficient behaviors. In order to overcome the tradeoff, there has been an increasing interest in the development of actuation technologies, such as variable stiffness actuators (VSAs) that can autonomously adjust mechanical dynamics. However, although many VSAs have been proposed and developed in the past, researchers are yet to clarify how such actuators can improve both energy efficiency and behavioral diversity. From this perspective, the goal of this paper is to investigate a one-legged hopping robot that is equipped with a class of VSA with the intention of explaining how behavioral diversity can be enhanced with modest impact in the energy efficiency. Through a systematic analysis including both simulation and a real-world robot platform, this paper investigates how the natural dynamics of hopping robots can be varied by the actuator resulting in variations in stride frequencies and locomotion speed while maximizing energy efficiency.

[1]  Russ Tedrake,et al.  Efficient Bipedal Robots Based on Passive-Dynamic Walkers , 2005, Science.

[2]  Barry D. Wilson,et al.  Modification of movement patterns to accomodate to a change in surface compliance in a drop jumping task , 1992 .

[3]  Kikuo Fujimura,et al.  The intelligent ASIMO: system overview and integration , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.

[4]  Nevio Luigi Tagliamonte,et al.  Double actuation architectures for rendering variable impedance in compliant robots: A review , 2012 .

[5]  Fumiya Iida,et al.  One-Legged Locomotion with a Compliant Passive Joint , 2006, IAS.

[6]  Jae-Bok Song,et al.  A Serial-Type Dual Actuator Unit With Planetary Gear Train: Basic Design and Applications , 2010, IEEE/ASME Transactions on Mechatronics.

[7]  Hung Quy Vu,et al.  Knee stiffness adjustment for energy efficient locomotion of a legged robot on surfaces with different stiffness , 2013, 2013 IEEE International Conference on Robotics and Biomimetics (ROBIO).

[8]  Nikos G. Tsagarakis,et al.  A New Actuator With Adjustable Stiffness Based on a Variable Ratio Lever Mechanism , 2014, IEEE/ASME Transactions on Mechatronics.

[9]  R J Full,et al.  Templates and anchors: neuromechanical hypotheses of legged locomotion on land. , 1999, The Journal of experimental biology.

[10]  Giorgio Grioli,et al.  VSA-II: a novel prototype of variable stiffness actuator for safe and performing robots interacting with humans , 2008, 2008 IEEE International Conference on Robotics and Automation.

[11]  Reinhard Blickhan,et al.  A movement criterion for running. , 2002, Journal of biomechanics.

[12]  Jonathan W. Hurst,et al.  The Electric Cable Differential Leg: a Novel Design Approach for Walking and Running , 2011, Int. J. Humanoid Robotics.

[13]  G.A. Pratt,et al.  Series elastic actuator development for a biomimetic walking robot , 1999, 1999 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (Cat. No.99TH8399).

[14]  G. Maloiy,et al.  Stride lengths and stride frequencies of primates , 2009 .

[15]  Garth Zeglin,et al.  The bow leg hopping robot , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[16]  Joel E. Chestnutt,et al.  An actuator with physically variable stiffness for highly dynamic legged locomotion , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[17]  Rolf Pfeifer,et al.  A novel mechanism for varying stiffness via changing transmission angle , 2011, 2011 IEEE International Conference on Robotics and Automation.

[18]  Daniel P. Ferris,et al.  Running in the real world: adjusting leg stiffness for different surfaces , 1998, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[19]  Daniel P. Ferris,et al.  Interaction of leg stiffness and surfaces stiffness during human hopping. , 1997, Journal of applied physiology.

[20]  Fumiya Iida,et al.  Preloaded hopping with linear multi-modal actuation , 2013, 2013 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[21]  R. McN. Alexander,et al.  Three Uses for Springs in Legged Locomotion , 1990, Int. J. Robotics Res..

[22]  V. Tucker The energetic cost of moving about. , 1975, American Scientist.

[23]  Kevin C. Galloway,et al.  Variable Stiffness Legs for Robust, Efficient, and Stable Dynamic Running , 2013 .

[24]  Daniel E. Koditschek,et al.  Rapid pole climbing with a quadrupedal robot , 2009, 2009 IEEE International Conference on Robotics and Automation.

[25]  T. McMahon,et al.  Scaling Stride Frequency and Gait to Animal Size: Mice to Horses , 1974, Science.

[26]  A. J. van den Bogert,et al.  Direct dynamics simulation of the impact phase in heel-toe running. , 1995, Journal of biomechanics.

[27]  R. Blickhan The spring-mass model for running and hopping. , 1989, Journal of biomechanics.

[28]  Alena M. Grabowski,et al.  Leg exoskeleton reduces the metabolic cost of human hopping. , 2009, Journal of applied physiology.

[29]  Tad McGeer,et al.  Passive Dynamic Walking , 1990, Int. J. Robotics Res..

[30]  Koh Hosoda,et al.  3D bipedal robot with tunable leg compliance mechanism for multi-modal locomotion , 2008, 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[31]  Nikolaos G. Tsagarakis,et al.  MACCEPA 2.0: Adjustable compliant actuator with stiffening characteristic for energy efficient hopping , 2009, 2009 IEEE International Conference on Robotics and Automation.

[32]  Roger D. Quinn,et al.  A Small, Insect-Inspired Robot that Runs and Jumps , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[33]  D. F. Hoyt,et al.  Gait and the energetics of locomotion in horses , 1981, Nature.

[34]  Martin Buehler,et al.  The ARL monopod II running robot: control and energetics , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[35]  Florentin Wörgötter,et al.  The development of a biomechanical leg system and its neural control , 2009, 2009 IEEE International Conference on Robotics and Biomimetics (ROBIO).

[36]  W. O. Davis Gears for Small Mechanisms , 1998 .

[37]  Nikolaos G. Tsagarakis,et al.  A compact soft actuator unit for small scale human friendly robots , 2009, 2009 IEEE International Conference on Robotics and Automation.

[38]  Stephen P. DeWeerth,et al.  Biologically Inspired Joint Stiffness Control , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[39]  M. Yeadon,et al.  Mechanical analysis of the landing phase in heel-toe running. , 1992, Journal of biomechanics.

[40]  P. Dario,et al.  Design and Fabrication of a Motor Legged Capsule for the Active Exploration of the Gastrointestinal Tract , 2008, IEEE/ASME Transactions on Mechatronics.

[41]  Oliver Eiberger,et al.  The DLR FSJ: Energy based design of a variable stiffness joint , 2011, 2011 IEEE International Conference on Robotics and Automation.

[42]  Arthur D. Kuo,et al.  Choosing Your Steps Carefully , 2007, IEEE Robotics & Automation Magazine.

[43]  D. F. B. Haeufle,et al.  A clutched parallel elastic actuator concept: Towards energy efficient powered legs in prosthetics and robotics , 2012, 2012 4th IEEE RAS & EMBS International Conference on Biomedical Robotics and Biomechatronics (BioRob).

[44]  Manuel G. Catalano,et al.  Variable impedance actuators: A review , 2013, Robotics Auton. Syst..

[45]  R. Blickhan,et al.  Dynamics of the long jump. , 1999, Journal of biomechanics.

[46]  Fumiya Iida,et al.  An Energy-Efficient Hopping Robot Based on Free Vibration of a Curved Beam , 2014, IEEE/ASME Transactions on Mechatronics.

[47]  N. Heglund,et al.  Speed, stride frequency and energy cost per stride: how do they change with body size and gait? , 1988, The Journal of experimental biology.

[48]  Kevin C Galloway Passive Variable Compliance for Dynamic Legged Robots , 2010 .

[49]  M Bonnard,et al.  Stride variability in human gait: the effect of stride frequency and stride length. , 2003, Gait & posture.

[50]  Nikolaos G. Tsagarakis,et al.  MACCEPA 2.0: compliant actuator used for energy efficient hopping robot Chobino1D , 2011, Auton. Robots.

[51]  Guangming Xie,et al.  Step Length and Velocity Control of a Dynamic Bipedal Walking Robot With Adaptable Compliant Joints , 2013, IEEE/ASME Transactions on Mechatronics.

[52]  Jonathan E. Clark,et al.  Dynamic stability of variable stiffness running , 2009, 2009 IEEE International Conference on Robotics and Automation.