Manipulation of Convex Objects via Two-agent Point-contact Push

Abstract

This paper explores a sensorless manipulation method for orienting and translating convex objects in the plane. The manipulation task is performed by a two-agent point-contact push. During the manipulation, each agent makes a point contact with the object, and both agents push together along a straight-line. One advantage of the two-agent point-contact push over the physical fence based push is that the two-agent point-contact push can manipulate non-polygonal parts, and reduce the position and orientation uncertainties simultaneously. First, two manipulation primitives are identified, equilibrium and non-equilibrium pushes, and the motion of the object characterized under these two pushing actions. Then, a controllability analysis is conducted for this class of manipulation using the theory of positive bases. After the analysis, the planning problem is studied in the framework of a switched system, and an analytical solution to the planning problem is developed. Finally, manipulation examples and experiments are provided to demonstrate the proposed manipulation method.

Keywords

manipulation planning two-agent point-contact push manipulation controllability switched system linear programming

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References

Agarwal, P. , Latombe, J. , Motwani, R. and Raghavan, P. (1997). Nonholonomic path planning for pushing a disk among obstacles. Proceedings of IEEE International Conference on Robotics and Automation, pp. 3124—3129.

Akella, S. and Mason, M. (1998). Posing polygonal objects in the plane by pushing . International Journal of Robotics Research, 17(1): 70—88.

Balorda, Z. (1993). Automatic planning of robot pushing operations . Proceedings of IEEE International Conference on Robotics and Automation, pp. 732—737.

Balorda, Z. and Bajd, T. (1994). Reducing positioning uncertainty of objects by robot pushing. IEEE Transactions on Robotics and Automation , 10(4): 535—541.

Brost, R. (1992). Dynamic analysis of planar manipulation tasks . Proceedings of IEEE International Conference on Robotics and Automation, pp. 2247—2254.

Brown, R. and Jennings, J. (1995). A pusher/steerer model for strongly cooperative mobile robot manipulation. Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 562—568.

Davis, C. (1954). Theory of positive linear dependence. American Journal of Mathematics, 76: 733—746.

Goyal, S. , Ruina, A. and Papadopoulos, J. (1991a). Planar sliding with dry friction. Part 1. Limit surface and moment function. Wear , 143: 307—330.

Goyal, S. , Ruina, A. and Papadopoulos, J. (1991b). Planar sliding with dry friction. Part 2. Dynamics of motion. Wear, 143: 352—331.

10.

Kurisu, M. and Yoshikawa, T. (1997). Tracking control for an object in pushing operation. Journal of Robotic Systems, 14(10): 729—739.

11.

Li, Q. and Payandeh, S. (2002). Centralized cooperative planning for dynamic multi-agent planar manipulation. Proceedings of IEEE International Conference on Decision and Control, pp. 2836—2841.

12.

Li, Q. and Payandeh, S. (2003). Planning for dynamic multi-agent planar manipulation with uncertainty: A game theoretic approach. IEEE Transactions on Systems, Man, and Cybernetics, Special Issue on Collective Intelligence , 33(5): 620—626.

13.

Li, Q. and Payandeh, S. (2004). Planning velocities of free sliding objects as free boundary value problem. International Journal of Robotics Research 23(1): 69—88.

14.

Luenberger, D. (1984). Linear and Nonlinear Programming, Addison-Wesley, Reading, MA.

15.

Lynch, K. (1999). Locally controllable manipulation by stable pushing . IEEE Transactions on Robotics and Automation, 15(2): 318—327.

16.

Lynch, K. and Mason, M. (1995). Pulling by pushing, slip with infinite friction, and perfectly rough surfaces. International Journal of Robotics Research, 14(2): 174—183.

17.

Lynch, K. and Mason, M. (1996). Stable pushing: Mechanics, controllability, and planning. International Journal of Robotics Research, 15(6): 533—556.

18.

Mason, M. (1986). Mechanics and planning of manipulator pushing operations. International Journal of Robotics Research, 5(3): 53—71.

19.

Noriega, H. , Payandeh, S. and Gupta, K. (2003). Distributed overhead hybrid pins for part orienting: An exploratory study. Proceedings of IEEE International Conference on Advanced Robotics, pp. 1819—1825.

20.

Payandeh, S. (1997). Planning controlled slips in Dexterous manipulation . Proceedings of IEEE International Conference on Robotics and Automation, pp. 2246—2252.

21.

Pereira, G. , Campos, M. and Kumar, V. (2004). Decentralized algorithms for multi-robot manipulation via caging. International Journal of Robotics Research, 23(7-8): 783—795.

22.

Peshkin, M. and Sanderson, A. (1988). The motion of a pushed, sliding workpiece. IEEE Transactions on Robotics and Automation, 4(6): 569—598.

23.

Rezzoug, N. and Gorce, P. (1999). Dynamic control of pushing operations. Robotica, 17: 613—620.

24.

Rimon, E. and Blake, A. (1996). Caging 2d bodies by 1-parameter two-fingered gripping systems. Proceedings of IEEE International Conference on Robotics and Automation, pp. 1458—1464.

25.

Salvarinov, A. and Payandeh, S. (1998). Flexible part feeder: Manipulating parts on conveyer belt by active fence. Proceedings of IEEE International Conference on Robotics and Automation, pp. 863—869.

26.

Sudsang, A. , Rothganger, F. and Ponce, J. (2002). Motion planning for disc-shaped robots pushing a polygonal object in the plane. IEEE Transactions on Robotics and Automation, 18(4): 550—562.

27.

Wang, Z. and Kumar, V. (2002). Object closure and manipulation by multiple cooperating mobile robots. Proceedings of IEEE International Conference on Robotics and Automation, pp. 394—399.