Ball dribbling with an underactuated continuous-time control phase: Theory & experiments

Ball dribbling is a central element of basketball. One main challenge for realizing basketball robots is to stabilize periodic motion of the ball. The task is nontrivial due to the discrete-continuous nature of the corresponding dynamics. This paper proposes to add an elastic element to the manipulator so the ball can be controlled in a continuous-time phase instead of an intermittent contact. Optimal catching and pushing trajectories are planned for the underactuated system based on the virtual holonomic constraints approach. First experimental studies are presented to evaluate the approach.

[1]  Leonid B. Freidovich,et al.  Transverse Linearization for Controlled Mechanical Systems With Several Passive Degrees of Freedom , 2010, IEEE Transactions on Automatic Control.

[2]  Daniel E. Koditschek,et al.  Planning and Control of Robotic Juggling and Catching Tasks , 1994, Int. J. Robotics Res..

[3]  Masatoshi Ishikawa,et al.  Robot dribbling using a high-speed multifingered hand and a high-speed vision system , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[4]  E. Westervelt,et al.  Feedback Control of Dynamic Bipedal Robot Locomotion , 2007 .

[5]  Friedrich M. Wahl,et al.  Advances in Robotics Research , 2009 .

[6]  G. Oriolo,et al.  Robotics: Modelling, Planning and Control , 2008 .

[7]  Ian R. Manchester,et al.  Periodic motion planning and analytical computation of transverse linearizations for hybrid mechanical systems , 2008, 2008 47th IEEE Conference on Decision and Control.

[8]  Mark W. Spong,et al.  Partial feedback linearization of underactuated mechanical systems , 1994, Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS'94).

[9]  Martin Buss,et al.  Robot Basketball: Ball Dribbling — A Modified Juggling Task , 2009 .

[10]  Martin Buss,et al.  Robot basketball: A comparison of ball dribbling with visual and force/torque feedback , 2009, 2009 IEEE International Conference on Robotics and Automation.

[11]  Daniel E. Koditschek,et al.  A family of robot control strategies for intermittent dynamical environments , 1990, IEEE Control Systems Magazine.

[12]  A. Doménech.  A classical experiment revisited: The bounce of balls and superballs in three dimensions , 2005 .

[13]  P. J. Holmes.  The dynamics of repeated impacts with a sinusoidally vibrating table , 1982 .

[14]  Kevin M. Lynch,et al.  Recurrence, controllability, and stabilization of juggling , 2001, IEEE Trans. Robotics Autom..