Optimal cyclic vertical juggling using 1-DoF arm

Manipulation by juggling of an object by a 1-DoF prismatic arm is studied. The manipulation task is decomposed into two phases: accelerating phase and decelerating phas. The manipulation task is modeled as an optimization problem in order to get maximum flight while having minimum impact at catch time. The optimization problem is solved using sequential quadratic programming method and the results are verified by simulations in ADAMS.

[1]  Arturo Zavala-Río,et al.  On the control of complementary-slackness juggling mechanical systems , 2000, IEEE Trans. Autom. Control..

[2]  Kevin M. Lynch,et al.  Stable limit sets in a dynamic parts feeder , 2002, IEEE Trans. Robotics Autom..

[3]  Ieee Robotics.  Proceedings, 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003), October 27-31,2003, Las Vegas, Nevada , 2003 .

[4]  Yasumichi Aiyama,et al.  Tossing Manipulation by 1 Degree of Freedom Manipulator , 2002 .

[5]  Kevin M. Lynch,et al.  Experiments in the Use of Stable Limit Sets for Parts Handling , 2004, 2004 International Conference on MEMS, NANO and Smart Systems (ICMENS'04).

[6]  Kevin M. Lynch,et al.  Experiments in the Use of Stable Limit Sets for Parts Handling , 2004 .

[7]  M. Nili Ahmadabadi,et al.  Dynamic manipulation of active objects: Modeling and optimization , 2009, 2009 IEEE/ASME International Conference on Advanced Intelligent Mechatronics.

[8]  Antonio Bicchi,et al.  Dexterous manipulation through rolling , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[9]  Matthew T. Mason,et al.  Mechanics of Robotic Manipulation , 2001 .

[10]  Daniel E. Koditschek,et al.  Toward a dynamical pick and place , 1995, Proceedings 1995 IEEE/RSJ International Conference on Intelligent Robots and Systems. Human Robot Interaction and Cooperative Robots.

[11]  M. Franchini,et al.  Global optimization techniques for the calibration of conceptual rainfall-runoff models , 1998 .

[12]  Michael A. Erdmann,et al.  Nonprehensile two palm manipulation with non-equilibrium transitions between stable states , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[13]  Kevin M. Lynch,et al.  Control of Nonprehensile Manipulation , 2003, Control Problems in Robotics.

[14]  Majid Nili Ahmadabadi,et al.  Is there any analogy between foot stability and dynamic grasp? , 2008, 2008 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[15]  Antonio Bicchi,et al.  Planning Motions of Polyhedral Parts by Rolling , 2000, Algorithmica.

[16]  James C. Alexander,et al.  Bounds on the Friction-Dominated Motion of a Pushed Object , 1993, Int. J. Robotics Res..

[17]  J. E. Glynn,et al.  Numerical Recipes: The Art of Scientific Computing , 1989 .

[18]  Kevin M. Lynch,et al.  An example of parts handling and self-assembly using stable limit sets , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[19]  William H. Press,et al.  Numerical Recipes 3rd Edition: The Art of Scientific Computing , 2007 .

[20]  Majid Nili Ahmadabadi,et al.  Dynamic object manipulation by an array of 1-DOF manipulators: Kinematic modeling and planning , 2007, Robotics Auton. Syst..

[21]  Paul T. Boggs,et al.  Sequential Quadratic Programming , 1995, Acta Numerica.

[22]  Matthew T. Mason,et al.  An exploration of sensorless manipulation , 1986, IEEE J. Robotics Autom..

[23]  Zdravko Balorda,et al.  Reducing uncertainty of objects by robot pushing , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[24]  M.N. Ahmadabadi,et al.  Manipulation by juggling of planar polygonal objects using two 3-DOF manipulators , 2007, 2007 IEEE/ASME international conference on advanced intelligent mechatronics.

[25]  Yasumichi Aiyama,et al.  Tossing manipulation by 1 degree-of-freedom manipulator , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).