Single-legged hopping robotics research - A review

Robotica

Volumn 25, Issue 5, 2007, Pages 587-613

  Sayyad, Ajij ^a   Seth, B ^a   Seshu, P ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BIPED LOCOMOTION; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; SOFTWARE PROTOTYPING; SYSTEM STABILITY;

MULTILEGGED ROBOTS; SINGLE-LEGGED HOPPING ROBOTICS;

ROBOTICS;

EID: 34748866715     PISSN: 02635747     EISSN: 14698668     Source Type: Journal    
DOI: 10.1017/S0263574707003487     Document Type: Article

References (131)

1. M. H. Raibert, Legged Robots That Balance (MIT Press, Cambridge, 1986).
2. F. Hardarson, Locomotion for difficult terrain, Technical Report (TRITA-MMK 1998:3, Department of Machine Design, Royal Institute of Technology, Sweden, Apr. 1998).
3. K. Matsuoka, "A Model of Repetitive Hopping Movements in Man," Proceedings of Fifth World Congress on Theory of Machines and Mechanisms (1979) pp. 1168-1171.
4. K. Matsuoka, "A mechanical model of repetitive hopping movements," J. Biomech. 5, 251-258 (1980).
5. M. H. Raibert, "Dynamic Stability and Resonance in a OneLegged Hopping Machine," In: (A. Morecki, G. Bianchi and K. Kedzior, eds.) Proceedings of Fourth Symposium on Theory and Practice of Robots and Manipulators (Polish Scientific Publishers, Warsaw, 1981) pp. 352-367.
6. M. H. Raibert and H. B. Brown, "Experiments in balance with a 2D one-legged hopping machine," ASME J. Dynam. Syst., Meas. Control 106, 75-81 (Mar. 1984).
7. M. H. Raibert, "Hopping in legged systems-modeling and simulation for the two-dimensional one-legged case," IEEE Trans. Syst., Man Cybern. 14(3), 451-463 (May/Jun. 1984).
8. M. H. Raibert, H. B. Brown andM. Chepponis, "Experiments in balance with a 3D one-legged hopping machine," Int. J. Robot. Res. 3(2), 75-92 (1984).
9. M. H. Raibert, "Running with symmetry," Int. J. Robot. Res. 5(4), 45-61 (1986).
10. M. H. Raibert, M. Chepponis and H. B. Jr. Brown, "Running on four legs as though they were one," IEEE J. Robot. Autom. 2(2), 70-82 (Jun. 1986).
11. W Lee and M. H. Raibert, "Control of Hoof Rolling in an Articulated Leg," Proceedings of IEEE International Conference on Robotics and Automation, Sacramento, USA (Apr. 1991) pp. 1386-1391.
12. MIT Leg Lab, "Leg lab robots," http://www.ai.mit.edu/ projects/leglab/robots/robots-main.html, (Last cited on Feb. 2007).
13. G. Zeglin, Uniroo: A one legged dynamic hopping robot, B.S. Thesis (Massachusetts Institute of Technology, Cambridge, May 1991).
14. K. V. Papantoniou, "Electromechanical Design for an Electrically Powered, Actively Balanced One Leg Planar Robot," Proceedings of IROS, Workshop on Intelligence for Mechanical Systems, Osaka, Japan (Nov. 1991) pp. 15531560.
15. J. Prosser and M. Kam., "Vertical Control for a Mechanical Model the One-Legged Hopping Machine," Proceedings of First IEEE Conference on Control Applications, Dayton, USA (Sep. 1992) pp. 136-141.
16. J. Prosser and M. Kam., "Control of Hopping Height for a OneLegged Hopping Machine," Proceedings of Mobile Robots VII, SPIE, Boston, USA (Nov. 1992) pp. 604-612.
17. A. Lebaudy, J. Prosser and M. Kam, "Control Algorithms for a Vertically-Constrained One-Legged Hopping Machine," Proceedings of IEEE Conference on Decision and Control, San Antonio, USA (Dec. 1993) pp. 2688-2693.
18. Ambulatory Robotics Lab, "Centre for intelligent machines," http://www.cim.mcgill.ca/~arlweb/robots.html, (Last cited on Feb. 2007).
19. H. Rad, P. Gregorio and M. Buehler, "Design, Modeling and Control of a Hopping Robot," Proceedings of IROS, Yokohama, Japan (Jul. 1993) pp. 1778-1785.
20. P. Gregorio, Design, Control and Energy Minimization. Strategies for an Electrically Actuated Legged Robot, Master Thesis (McGill University, Aug. 1994).
21. P. Gregorio, M. Ahmadi and M. Buehler, "Experiments With an Electrically Actuated Planar Hopping Robot," In: Lecture Notes in Control and Information Sciences 200, Experimental Robotics III (T Yoshikawa and F. Miyazaki, eds.) (SpringerVerlag, New York, 1994) pp. 269-281.
22. M. Ahmadi and M. Buehler, "Preliminary Experiments With, an Actively Tuned Passive Dynamic Running Robot," In: International Symposium on Experimental Robots V (A. Casals and A.T. de Almeida, eds.) (Springer-Verlag, New York, 1997) pp. 249-260.
23. P. Gregorio, M. Ahmadi and M. Buehler, "Design, control, and energetics of an electrically actuated legged robot," IEEE Trans. Syst., Man, Cybern. 27(4), 626-634 (Aug. 1997).
24. M. Ahmadi and M. Buehler, "The ARL Monopod II Running Robot: Control and Energetics," Proceedings of IEEE International Conference on Robotics and Automation, Detroit, USA (May 1999) pp. 1689-1694.
25. M. Mehrandezh, B. W. Surgenorand S. R. H. Dean, "Jumping Height Control of an Electrically Actuated, One-Legged Hopping Robot: Modelling and Simulation," Proceedings of IEEE International Conference on Decision and Control, New Orleans, USA (Dec. 1995) pp. 1016-1020.
26. O. H. Okubo, E. Nakano and M. Handa, "Design of a Jumping Machine Using Self-Energizing Spring," Proceedings of IROS, Osaka, Japan (Nov. 1996) pp. 186-191.
27. R. Ringrose, Self-stabilizing running, Ph.D. Thesis (Massachusetts Institute of Technology, Cambridge, Feb. 1997).
28. R. Ringrose, "Self-Stabilizing Running," Proceedings of IEEE International Conference on Robotics and Automation, Albuquerque, USA (Apr. 1997) pp. 487-493.
29. W Zhang, G. Wang, T Chambers and W E. Simon, "Toward a Folding-Legged Uniped That Can Learn to Jump," Proceedings of IEEE International Conference on Systems, Man, and Cybernetics, Florida, USA (Oct. 1997) pp. 43154319.
30. H. De Man, D. Lefeber and J. Vermeulen, "Control on Irregular Terrain of a Hopping Robot With One Articulated Leg," Proceedings of International Conference on Advanced Robotics: Workshop II: New Approaches on Dynamic Walking and Climbing Machines, Monterey, USA (1997) pp. 7276.
31. T Zdravko, D. Lefeber, J. Vermeulen and H. De Man, "Setting Objective Parameters of a Hopping Robot Based on Power Consumption," Proceedings of International Conference on Climbing and Walking Robots, Brussels, Belgium (Nov. 1998) pp. 297-302.
32. H. De Man, D. Lefeber and J. Vermeulen, "Design and Control of a Robot with One Articulated. Leg for Locomotion on Irregular Terrain," In: (A. Morecki, G. Bianchi and M. Wojtyra, eds.) Proceedings 12th Symposium on Theory and Practice of Robots and Manipulators (Springer Wien New York, 1998) pp. 417-424.
33. J. Vermeulen, D. Lefeber and H. De Man, "A Control Strategy for a Robot With One Articulated Leg Hopping on Irregular Terrain," Proceedings of International Conference on Climbing and Walking Robots, Madrid, USA (Oct. 2000) pp. 399-406.
34. B. Brown and G. Zeglin, "The Bow Leg Hopping Robot," Proceedings of IEEE International Conference on Robotics and Automation, Leuven, Belgium (May 1998) pp. 781-786.
35. G. Zeglin and B. Brown, "Control of a Bow Leg Hopping Robot," Proceedings of IEEE International Conference on Robotics and Automation, Leuven, Belgium (May 1998) pp. 793-798.
36. G. Zeglin, The bow leg hopping robot, PhD. Thesis (Pittsburgh: Carnegie Mellon University, Oct. 1999).
37. G. Zeglin and H. B. Jr. Brown, "First Hops of the 3D Bow Leg," Proceedings of International Conference on Climbing and Walking Robots, Paris, France (Sep. 2002) pp. 357-364.
38. The robotics Institute, "Bow leg hopping robot," http://www.cs.cmu.edu/_garthz/research/bowleg/, (Last cited on Feb. 2007).
39. M. D. Berkemeier and K. V. Desai, "A comparison of three approaches for the control of hopping height in legged robots," (submitted to Int. J. Robot. Res., 1998).
40. M. D. Berkemeier and K. V Desai, "Control of Hopping Height in Legged Robots Using a Neural-Mechanical Approach," Proceedings of International Conference on Robotics and Automation, Michigan, USA (May 1999) pp. 1695-1701.
41. T E. Wei, G. M. Nelson, R. D. Quinn, H. Verma and S. L. Garverick, "Design of a 5-cm Monopod Hopping Robot," Proceedings of IEEE International Conference on Robotics and Automation, San Francisco, USA (Apr. 2000) pp. 28282833.
42. Sandia Lab News, "Lab News Release-Hop to it: Sandia hoppers leapfrog conventional wisdom, about robot mobility," 52(21), (Oct. 2000), http://www.sandia.gov/Lab.News/LN1020-00/hop_story.html, (Last cited on Feb. 2007).
43. M. A. Peck, "Dynamics of a gyroscopic hopping rover," Advances in the Astronautical Sciences. 108(2), 1369-1390 (February, 2001).
44. J. V. Albro and J. E. Bobrow, "Optimal Motion Primitives for a 5 DOF Experimental Hopper," Proceedings of IEEE International Conference on Robotics and Automation, Seoul, Korea (May 2001) pp. 3630-3635.
45. J. G. Cham, B. Stafford, and M. R. Cutkosky, "See Labs Run: A Design-Oriented Laboratory for Teaching Dynamic Systems," Proceedings of 2001ASME International Mechanical Engineering Congress and Exposition, New York, USA (Nov. 2001) pp. 1-8.
46. J. G. Cham and M. R. Cutkosky, "Dynamic stability of openloop hopping," (submitted to ASME J. Dynam. Syst., Meas. Control, 2004).
47. S. H. Hyon and T. Mita, "Development of a Biologically Inspired Hopping Robot-"Kenken"," Proceedings of IEEE International Conference on Robotics and Automation, Washington, USA (May 2002) pp. 3984-3991.
48. S. H. Hyon, T. Emura and T Mita, "Dynamics-based control of a one-legged hopping robot," Proc. IME, J. Syst. Control Eng. 217(2) Part I, 83-98 (Apr. 2003).
49. K. Takeuchi, S. Kuswadi, S. Nakaura and N. Sampei, "Continuous Hopping Motion Control Experiment of One Linear Actuator Robot," Proceedings of 41st SICE Annual Conference, Osaka, Japan (Aug. 2002) pp. 232237.
50. S. Kuswadi, A. Takahashi, A. Ohnishi, N. Sampei and S. Nakaura, "Feedback Error Learning Control Using Adaptive Fuzzy Network, to Control One Linear Actuator Hopping Robot," Proceedings of Asia-Pacific Conference on Circuits and Systems, Singapore (Oct. 2002), pp. 3741.
51. S. Kuswadi, M. Sampei and. S. Nakaura, "One Linear Actuator Hopping Robot Control: Model Reference Adaptive Fuzzy Control Approach," Proceedings of IECI Japan Workshop, Chofu Bunka Kaikan Tazukuri, Japan (Apr. 2003), pp. 1-7.
52. S. Kuswadi, M. Sampei and S. Nakaura, "Model Reference Adaptive Fuzzy Control for One Linear Actuator Hopping Robot," Proceedings of 12th IEEE International Conference on Fuzzy Systems, St. Louis, USA (May 2003) pp. 254-259.
53. T Funato, S. Kuswadi, M. Sampei and S. Nakaura, "Continuous Hopping Motion Experiment of One Linear Actuator Robot With Adaptive Fuzzy Control," Proceedings of SICE Annual Conference, Fukui, Japan (Aug. 2003) pp. 2506-2511.
54. S. Kuswadi, A. Takahashi, A. Ohnishi, M. Sampei and S. Nakaura, "A One Linear Actuator Hopping Robot: Modelling and Control," Adv. Robot. 17(8), 709-713 (Dec. 2003).
55. Singapore robotic games, "A self-stabilizing hopping robot," Open Category Competition in the Singapore Robotic Games, (May 2003), http://www.eng.nus.edu.sg/research/2003/ 2003C3_038.htm, (Last cited, on Feb. 2007).
56. K. Uno, M. Ohmori and R. A. Kondo, "A Hopping Robot With Impulsive Actuator," Proceedings of 41st SICE Annual Conference, Osaka, Japan (Aug. 2002) pp. 2831-2832.
57. T Akinfiev, M. Armada and H. Montes, "Vertical Movements of Resonance Hopping Robot With Electric Drive and Simple Control System," Proceedings of IEEE 11th Mediterranean Conference on Control and Automation, Rodas, Gracia (Jun. 2003).
58. J. Leavitt, J. E. Bobrow and A. Sideris, "Robust Balance Control of a One-Legged, Pneumatically-Actuated, AcrobotLike Hopping Robot," Proceedings of IEEE International Conference on Robotics and Automation, New Orleans, USA (Apr./May 2004), pp. 4240-4245.
59. A. Sato and M. Buehler, "A Planar Hopping Robot With One Actuator: Design, Simulation, and Experimental Results," Proceedings of IROS, Sendai, Japan (Sep./Oct. 2004) pp. 3540-3545.
60. D. E. Koditschek and M. Buhler, Analysis of a simplified hopping robot, Technical Report (8804, Department of Electrical Engineering, Yale University, Princeton, NJ, 1988).
61. D. E. Koditschek and M. Buehler, "Analysis of a simplified hopping robot," Int. J. Robot. Res. 10(6), 587-605 (1991).
62. A. F. Vakakis and J. W. Burdick, "Chaotic Motions in the Dynamics of a Hopping Robot," Proceedings of IEEE International Conference on Robotics and Automation, Cincinnati, USA (May 1990) pp. 1464-1469.
63. Z. Li and J. He, "An Energy Perturbation Approach to Limit Cycle Analysis in Legged. Locomotion Systems," Proceedings of 29th IEEE Conference on Decision and Control, Honolulu, USA (Dec. 1990) pp. 1989-1994.
64. A. F. Vakakis, J. W Burdick and T. K. Caughey, "An "interesting" strange attractor in the dynamics of a hopping robot," Int. J. Robot. Res. 10(6), 587-605 (Dec. 1991).
65. J. P. Ostrowski and J. W. Burdick, "Designing Feedback Algorithms for Controlling the Periodic Motions of Legged Robots," Proceedings of IEEE International Conference on Robotics and Automation, Georgia, USA (May 1993) pp. 260-266.
66. R. T. M'Closkey and J. W Burdick, "Periodic motions of a hopping robot with vertical and forward motion," Int. J. Robot. Res. 12(3), 197-218 (Jun. 1993).
67. J. J. Helferty, J. B. Collins and M. Kam, "A Neural Network Learning Strategy for the Control of a One-Legged Hopping Machine," Proceedings of IEEE International Conference on Robotics and Automation, Scottsdale, USA (May 1989) pp. 1604-1609.
68. J. J. Helferty and M. Kam, "Adaptive Control of a Legged Robot Using an Artificial Neural Network," Proceedings of IEEE International Conference on Systems Engineering, Dayton, USA (Aug. 1989) pp. 165-168.
69. H. Michalska, M. Ahmadi and M. Buehler, "Vertical Motion Control of a Hopping Robot," Proceedings of IEEE International Conference on Robotics and Automation, Minneapolis, USA (Apr. 1996) pp. 2712-2717.
70. Y. Yoshida, T. Kamano, T. Yasuno, T Suzuki, H. Harada and Y. Kataoka, "Generation of suitable jumping motion pattern for hopping robot under genetic algorithm," Trans. IEE Jpn. 120-c(10), 1365-1371 (Oct. 2000).
71. H. Komsuoglu and D. E. Koditschek, "Preliminary Analysis of a Biologically Inspired 1-DOF 'Clock' Stabilized Hopper," Proceedings of World Multi-Conference on Systemics, Cybernetics and Informatics, Orlando, USA (Jul. 2000) pp. 670-675.
72. E. Klavins and D. E. Koditschek, "Stability of Coupled Hybrid Oscillators," Proceedings of IEEE International Conference on Robotics and Automation, Seoul, Korea (May 2001) pp. 4200-4207.
73. Y. Kusano and K. Tsutsumi, "Hopping Height Control of an Active Suspension Type Leg Module Based on Reinforcement Learning and a Neural Network," Proceedings of IROS, Lausanne, Switzerland (Sep./Oct. 2002) pp. 26722677.
74. K. Harbick and G. Sukhatme, Height control for a one-legged hopping robot using a one-dimensional mode, Technical Report (IRIS-01-405, Institute for Robotics and intelligent Systems, USC, 2001).
75. K. Harbick and G. Sukhatme, Height control for a one-legged hopping robot using a two-dimensional mode, Technical Report (IRIS-01-406, Institute for Robotics and intelligent Systems, USC, 2001).
76. K. Harbick and G. Sukhatme, "Controlling Hopping Height of a Pneumatic Monopod," Proceedings of International Conference on Robotics and Automation, Washington, USA (May 2002) pp. 3998-4003.
77. K. Harbick and G. Sukhatme, Speed control of a pneumatic monopod using a neural network, Technical Report (IRIS02-413, Institute for Robotics and intelligent Systems, USC, 2002).
78. K. Harbick and G. Sukhatme, "Robustness Experiments for a Planar Hopping Control System," Proceedings of International Conference on Climbing and Walking Robots (Sep. 2002) pp. 349-356.
79. C. Francois and C. Samson, "Running with constant energy," International Conference on Robotics and Automation, San Diego, USA (May 1994) pp. 131-136.
80. W J. Schwind and D. E. Koditschek, "Control of Forward Velocity for a Simplified Planar Hopping Robot," Proceedings of IEEE International Conference on Robotics and Automation, Aichi, Japan (May 1995) pp. 691-696.
81. K. D. Maier, "Neural Network Based Control of Legged Hopping Systems," Proceedings of IEEE International Symposium on Intelligent Control, Mexico (Sep. 2001) pp. 115-120.
82. A. Seyfarth, H. Geyer, M. Gunther and R. Blickhan, "A movement criterion for running," J. Biomech. 35(5), 649-655 (May 2002).
83. E. Papadopoulos and N. Cherouvim, "On Increasing Energy Autonomy for a One-Legged Hopping Robot," Proceedings of IEEE International Conference on Robotics and Automation, New Orieans, USA (Apr./May 2004) pp. 46454650.
84. N. Cherouvim and E. Papadopoulos, "Energy saving passivedynamic gait for a one-legged hopping robot," Robotica. 24(4), 491-498 (July 2006).
85. P. V. Shanmuganathan, Dynamics and stabilization of underactuated monopedal hopping, Ph.D. Thesis (Bombay, India: Indian Institute of Technology, Jul. 2002).
86. M. Sznaier and M. J. Domborg, "An adaptive controller for a one-legged mobile robot," IEEE Trans. Robot. Autom. 5(2), 253-259 (Apr. 1989).
87. V. V. Lapshin, "Motion control of a legged machine in the supportless phase of hopping," Int. J. Robot. Res. 10(4), 327337 (Aug. 1991).
88. V. V. Lapshin, "Vertical and horizontal motion control of a one-legged hopping machine," Int. J. Robot. Res. 11(5), 491-498 (Oct. 1992).
89. N. Cherouvim and E. Papadopoulos, "Single actuator control analysis of a planar 3 DOF hopping robot," In: Chapter in Robotics: Science and Systems I (Thrun et al, eds.) (MIT Press, Cambridge, Massachusetts, 2005).
90. R. Tedrake and H. S. Seung, "Improved Dynamic Stability Using Reinforcement Learning," Proceedings of 5th International Conference on Climbing and Walking Robots and the Support Technologies for Mobile Machines, Paris, France (Sep. 2002) pp. 341-348.
91. Z. Li and R. Montgomery, "Dynamics and Optimal Control of a Legged Robot in Flight Phase," Proceedings of IEEE International Conference on Robotics and Automation, Cincinnati, USA (May 1990) pp. 1816-1821.
92. F. U. Rehman and H. Michalska, "Geometric Approach to Feedback Stabilization of a Hopping Robot in the Flight Phase," Proceedings of 8th International Conference on Advanced Robotics, Monterey, USA (Jul. 1997) pp. 551-556.
93. F. Rehman, "Discontinuous Feedback Stabilization of a Hopping Robot in Flight Phase," Proceedings of IEEE International Multi-Topic Conference, Technology for the 21st Century, Lahore, Pakistan (Dec. 2001) pp. 190-194.
94. F. U. Rehman, "Steering Control of a Hopping Robot Model During the Flight Phase," Proc. IEE Control Theory Appl 152(6), 645-653 (Nov. 2005).
95. P. Chelouah, Di Giamberardino, S. Monaco and D. NormandCyrot, "Digital Control of Nonholonomic Systems Two Case Studies," Proceedings of 32nd IEEE Conference on Decision and Control, San Antonio, USA (Dec. 1993) pp. 2664-2669.
96. P. Di Giamberardino, S. Monaco and D. Normand-Cyrot, "Why Multirate Sampling is Instrumental for Control Design. Purpose: The Example of the One-Leg Hopping Robot," Proceedings of IEEE Conference on Decision and Control, Las Vegas, USA (Dec. 2002) pp. 3249-3254.
97. A. Kumar and S. K. Singh, "Intelligent Control of Autonomous Systems Using a Constrained Optimal Control Approach," Proceedings of 32nd IEEE Conference on Decision and Control, San Antonio, USA (Dec. 1993) pp. 1252-1257.
98. J. S. Liu, L. S. Wang and L. S. Tsai, "A Nonlinear Programming Approach to Nonholonomic Motion Planning With Obstacle Avoidance," Proceedings of IEEE International Conference on Robotics and Automation, San Diego, USA (May 1994) pp. 70-75.
99. Y. Wang, "Nonholonomic Motion Planning: a Polynomial Fitting Approach," Proceedings of IEEE International Conference on Robotics and Automation, Minneapolis, USA (Apr. 1996) pp. 2956-2961.
100. T. C. Lee and J. S. Liu, "A Rank Condition for p-Exponential Stabilization of Dynamic Caplygin Systems," Proceedings of IEEE Conference on Robotics, Automation and Mechatronics, Singapore (Dec. 2004) pp. 1020-1025.
101. K. D. Mombaur, H. G. Bock, J. P. Schloder, M. J. Winckler and R. W Longman, "Open-Loop Stable Control of Running Robots a Numerical Method for Studying Stability in the Context of Optimal Control Problems," Proceedings of International Conference on Climbing and Walking Robots, Brussels, Belgium (Nov. 1998) pp. 89-94.
102. K. D. Mombaur, R. W. Longman, H. G. Bock and J. P. Schloder, "Stable One-Legged Hopping Without Feedback and With a Point Foot," Proceedings of IEEE International Conference on Robotics and Automation, Washington, USA (May 2002) pp. 3978-3983.
103. K. D. Mombaur, R. W. Longman, H. G. Bock and J. P. Schloder, "Open loop stable running," Robotka 23(1), 2133 (Jan. 2005).
104. V. B. Larin, "Control of the Hopping Apparatus," Proceedings of IEEE Intelligent Transportation Systems, Oakland, USA (Aug. 2001) pp. 385-390.
105. V B. Larin, "Control By Non-Stationary Driving of the Hopping Apparatus," Proceedings of the 4th World Congress on Intelligent Control and Automation, Shanghai, China (Jun. 2002) pp. 2822-2830.
106. C. M. Thompson and M. H. Raibert, "Passive dynamic running," In: International Symposium of Experimental Robotics I (V. Hayward and O. Khatib, eds.) (Springer-Verlag, New York, Jun. 1989) pp. 74-83.
107. M. Ahmadi and M. Buehler, "A Control Strategy for Stable Passive Running," Proceedings of Intelligent Robots and Systems, Pittsburgh (Aug. 1995) pp. 152-157.
108. M. Ahmadi and M. Buehler, "Stable control of a simulated one-legged running robot with hip and leg compliance," IEEE Trans. Robot. Autom. 13(1), 96-104 (Feb. 1997).
109. C. Francois and C. Samson, "New approach to the control of the planar one-legged, hopper," Int. J. Robot. Res. 17(11), 1150-1166 (Nov. 1998).
110. A. Schammass, G. A. P. Caurin and C. M. O. Valente, "Control of a one-legged, robot with energy savings," J. Brazilian Soc. Mech. Sci. 3(1), 41-48 (Jan. 2001).
111. S. H. Hyon and T Emura, "Quasi-Periodic Gaits of Passive One-Legged Hopper," Proceedings of Intelligent Robots and Systems, Lausanne, Switzerland (Sep./Oct. 2002) pp. 26252630.
112. S. H. Hyon and T Emura, "Energy-preserving control of a passive one-legged running robot," Adv. Robot. 18(4), 357381 (May 2004).
113. S. H. Hyon, T Emura and T Ueta, "Delayed Feedback Control of One-Legged Passive Running Robot," Proceedings of Annual SICE Conference, Teine-ku, Sapporo, Japan (Aug. 2004) pp. 949-954.
114. S. H. Hyon, X. Jiang, T Emura and T. Ueta, "Passive Running of Planar 1/2/4-Legged Robots," Proceedings of Intelligent Robots and Systems, Sendai, Japan (Sep./Oct. 2004) pp. 3532-3539.
115. M. D. Berkemeier and R. S. Fearing, "Sliding and hopping gaits for the underactuated acrobot," IEEE Trans. Robot. Autom. 14(4), 629-634 (Aug. 1998).
116. T Geng, Y. Yang and X. Xu, "A Novel One-Legged Robot: Cyclic Gait Inspired by a Jumping Frog," Proceedings of IEEE International Conference on Systems, Man, and Cybernetics, Tucson, USA (Oct. 2001) pp. 1412-1417.
117. T Geng, X. Xu, Y Yang, X. Li and X. Zhang, "Designing Ballistic Flipping Gait for a One-Legged Robot," Proceedings of Intelligent Robots and Systems, Maui, USA (Oct./ Nov. 2001) pp. 716-721.
118. T Geng, G. Xiong, X. Li, Y. Yang, Y. Guo and Q. Ma, "Proposing a Novel One-Legged Robot: Control via Poincaré Map," Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, USA (Dec. 2001) pp. 4.1844185.
119. T Geng and X. Xu, "Motion planning of a novel flip robot: The fastest locomotive trajectory," Eur. J. Mech. Eng. 47(2), 91-98 (2002).
120. Y Morita and K. Ohnishi, "Attitude Control of Hopping Robot Using Angular Momentum," Proceedings of IEEE International Conference on Industrial Technology, Maribor, Slovenia (Dec. 2003) pp. 173-178.
121. K. Ohnishi and E. Ohashi, "Motion Control in the Support Phase for a One-Legged Hopping Robot," Proceedings of 8th IEEE International Workshop on Advanced Motion Control, Kawasaki, Japan (Mar. 2004) pp. 259-262.
122. E. Ohashi and K. Ohnishi, "A hopping height control for hopping robot," IEEJ Trans. Ind. Appl 124-D(7), 660-665 (Jul. 2004).
123. E. Ohashi and K. Ohnishi, "Variable Compliance Control Based on Soft-Landing Trajectory for Hopping Robot," Proceedings of 30th Annual Conference of IEEE Industrial Electronics Society, Busan, South Korea (Nov. 2004) pp. 117122.
124. K. Nji and M. Mehrandezh, "Low Energy Body Design and Nonlinear Control of Balance in a One Legged Robot," Proceedings of 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas (Dec. 2004) pp. 311-316.
125. R. Dummer and M. Berkemeier, "Low-Energy Control of a One-Legged Robot With 2 Degrees of Freedom," Proceedings of IEEE International Conference on Robotics and Automation, San Francisco, USA (Apr. 2000) pp. 28152821.
126. W J. Schwind and D. E. Koditschek, "Characterization of Monoped Equilibrium. Gaits," Proceedings of IEEE International Conference on Robotics and Automation, Albuquerque, USA (Apr. 1997) pp. 1986-1992.
127. U. Saranli, W. J. Schwind and D. E. Koditschek, "Toward the Control of a Multi-Jointed, Monoped Runner," Proceedings of IEEE International Conference on Robotics and Automation, Leuven, Belgium (May 1998) pp. 2676-2682.
128. S. H. Sung and Y. Youm, "Take-Off Motion of Legged Robot Hopping," Proceedings of International Conference on Mechatronics and Information Technology, Jecheon, Korea (Dec. 2003) pp. 730-735.
129. T Wadden and O. E. Ekeberg, "A neuro-mechanical model of legged locomotion: Single leg control," Biol. Cybern. 79(2), 161-173 (Aug. 1998).
130. J. Rummel, A. Seyfarth and F. Iida, "Stable Locomotion of Feedforward Controlled One-Legged Robot," Proceedings of XXth Congress of the International Society of Biomechanics, Cleveland, USA (Aug. 2005).
131. R. Altendorfer, D. E. Koditschek and P. Holmes, "Stability analysis of a clock-driven rigid-body SLIP model for Rhex," Int. J. Robot. Res. 23(10-11) 1001-1012, (Oct./ Nov. 2004).