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Kinematic and dynamic analysis of lower-mobility cooperative arms

Published online by Cambridge University Press:  01 May 2014

Philip Long ,
Wisama Khalil  and
Stéphane Caro
Philip Long
Affiliation:
LUNAM, Ecole Centrale de Nantes, 1 rue de la Noë, 44321 Nantes, France IRCCyN, UMR CNRS n° 6597, 1 rue de la Noë, 44321 Nantes, France
Wisama Khalil
Affiliation:
LUNAM, Ecole Centrale de Nantes, 1 rue de la Noë, 44321 Nantes, France IRCCyN, UMR CNRS n° 6597, 1 rue de la Noë, 44321 Nantes, France
Stéphane Caro*
Affiliation:
IRCCyN, UMR CNRS n° 6597, 1 rue de la Noë, 44321 Nantes, France
*
*Corresponding author. E-mail: stephane.caro@irccyn.ec-nantes.fr
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Summary

This paper studies the modeling and analysis of a system with two cooperative manipulators working together on a common task. The task is defined as the transportation of an object in space. The cooperative system is the dual-arm of the humanoid robot Nao, where the serial architecture of each arm has 5 degrees of freedom. The kinematics representing the closed chain system is studied. The mobility of the closed-loop system is analyzed and the nature of the possible motions explored. The stiffness of some motors can be reduced until they behave as passive joints. Certain joints are then chosen as actuated (independent) and the others as passive (dependent). The serial and parallel singular configurations of the system are considered. From the kinematic analysis, admissible and inadmissible minimum actuation schemes are analyzed. Furthermore the dynamic performance of the schemes is compared to find the optimum minimum actuation scheme.

Keywords

Parallel manipulatorsHumanoid robotsKinematic analysisDynamic analysisCooperative arms
Type
Articles
Information
Robotica , Volume 33 , Issue 9 , November 2015 , pp. 1813 - 1834
Copyright
Copyright © Cambridge University Press 2014 

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References

1. Uchiyama, M. and Dauchez, P., “A Symmetric Hybrid Position/Force Control Scheme for the Coordination of Two Robots,” Proceedings of the 1988 IEEE International Conference on Robotics and Automation, Philadelphia, USA (Apr. 1988) pp. 350–356.Google Scholar
2. Chiacchio, P., Chiaverini, S. and Siciliano, B., “Direct and inverse kinematics for coordinated motion tasks of a two-manipulator system,” J. Dyn. Syst. Meas. Control 118, 691 (1996).Google Scholar
3. Caccavale, F., Chiacchio, P. and Chiaverini, S., “Task-space regulation of cooperative manipulators,” Automatica 36 (6), 879–887 (2000).Google Scholar
4. Yeo, H.-J., Suh, I. H., Yi, B.-J. and Oh, S.-R., “A single closed-loop kinematic chain approach for a hybrid control of two cooperating arms with a passive joint: An application to sawing task,” IEEE Trans. Robot. Autom. 15 (1), 141–151 (1999).Google Scholar
5. Liu, Y., Xu, Y. and Bergerman, M., “Cooperation control of multiple manipulators with passive joints,” IEEE Trans. Robot. Autom. 15 (2), 258–267 (1999).Google Scholar
6. Cheng, H., Yiu, Y.-K., Member, S. and Li, Z., “Dynamics and control of redundantly actuated parallel manipulators,” IEEE/ASME Trans. Mechatronics 8 (4), 483–491 (2003).Google Scholar
7. Özkan, B. and Özgören, M., “Invalid joint arrangements and actuator related singular configurations of a system of two cooperating scara manipulators,” Mechatronics 11 (4), 491–507 (2001).Google Scholar
8. Long, P., Khalil, W. and Caro, S., “Control of a Lower Mobility Dual Arm System,” Proceedings of the International IFAC Symposium on Robot Control, SYROCO, vol. 10, Dubrovnik, Croatia (Sep. 2012) pp. 307–312.Google Scholar
9. Amine, S., Caro, S., Wenger, P. and Kanaan, D., “Singularity analysis of the H4 robot using Grassmann–Cayley algebra,” Robotica 30 (7) 1109–1118 (2012).Google Scholar
10. Zlatanov, D., Bonev, I. and Gosselin, C., “Constraint Singularities of Parallel Mechanisms,” Proceedings of the IEEE International Conference on Robotics and Automation, ICRA'02, Washington, vol. 1 (May 2002) pp. 496–502.Google Scholar
11. Khalil, W. and Kleinfinger, J., “A New Geometric Notation for Open and Closed-Loop Robots,” Proceedings of the 1986 IEEE International Conference on Robotics and Automation, San Francisco, vol. 3 (Apr. 1986) pp. 1174–1179.Google Scholar
12. Khalil, W. and Creusot, D., “Symoro+: A system for the symbolic modelling of robots,” Robotica 15, 153–161 (1997).Google Scholar
13. Gogu, G., Structural Synthesis of Parallel Robots: Part 1: Methodology (Springer Verlag, Dordrecht, The Netherlands, 2007).Google Scholar
14. Long, P., Khalil, W. and Caro, S., “Kinematic Analysis of Lower Mobility Cooperative Arms by Screw Theory,” Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics, Rome, Italy (Jul. 2012) pp. 280–285.Google Scholar
15. Hunt, K., Kinematic Geometry of Mechanisms (Clarendon Press, Oxford, 1978).Google Scholar
16. Ball, S. R., A Treatise on the Theory of Screws (Cambridge University Press, Cambridge, UK, 1900).Google Scholar
17. Kong, X. and Gosselin, C., Type Synthesis of Parallel Mechanisms (Springer, Heidelberg, Germany, 2007).Google Scholar
18. Amine, S., Tale Masouleh, M., Caro, S., Wenger, P. and Gosselin, C., “Singularity analysis of 3T2R parallel mechanisms using Grassmann-Cayley algebra and Grassmann line geometry,” Mech. Mach. Theory 52, 326–340 (2012).Google Scholar
19. O'Brien, J. and Wen, J., “Redundant Actuation for Improving Kinematic Manipulability,” Proceedings of the IEEE International Conference on Robotics and Automation, Detroit, vol. 2 (May 1999) pp. 1520–1525.Google Scholar
20. Khalil, W. and Dombre, E., Modeling, Identification and Control of Robots (Hermes-Penton, London, 2002).Google Scholar
21. Chevallereau, C., Aoustin, Y. et al., “Optimal reference trajectories for walking and running of a biped robot,” Robotica 19 (5), 557–569 (2001).Google Scholar