A new singularity-free path planning method for a class of fully-parallel planar manipulators

2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007

Volumn 8 PART B, Issue , 2008, Pages 971-978

  Paganelli, Davide ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

Path planning; Planar manipulator; Singularity

Indexed keywords

APPLIED (CO); CONFIGURATION SPACES; DIFFERENTIAL TOPOLOGY; DISJOINT REGIONS; INTERNATIONAL DESIGNS; PARALLEL MANIPULATORS; PLANAR MANIPULATORS; PLATFORM CONTROL; SINGULARITY FREE; SINGULARITY FREE PATH; TECHNICAL CONFERENCES; TOPOLOGICAL PROPERTIES;

ACTUATORS; ARCHITECTURAL DESIGN; AUTOMATION; COMPUTER NETWORKS; COMPUTERS; ENGINEERING; INFORMATION TECHNOLOGY; MACHINE DESIGN; MECHANISMS; NUMBER THEORY; NUMERICAL METHODS; PLANNING; QUALITY ASSURANCE; RELIABILITY; ROBOTICS; ROBOTS; TECHNOLOGY; TOPOLOGY; WAVE FUNCTIONS;

MANIPULATORS;

EID: 44849090341     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2007-34345     Document Type: Conference Paper

References (23)

1. Paul, B., 1979, "A reassessment of Grashof's Criterion," Journal of Mechanical Design, 101, pp. 515-518.
2. Chase, T.R. and Mirth, J.A., 1993, "Circuits and branches of single-degree-of-freedom planar linkages," Journal of Mechanical Design, 115(2), pp. 223-230.
3. Mirth, J.A. and Chase, T.R., 1993, "Circuit analysis of Watt chain six-bar mechanisms," Journal of Mechanical Design, 115(2), pp.214-222.
4. Midha. A., Zhao, Z.L., and Her, I., 1985, "Mobility conditions for planar linkages using triangle inequality and graphical interpretation," Journal of Mechanical Design, 107(3), pp. 394-400.
5. Foster, D.E. and Cipra, R.J., 1998, "Assembly configurations and branches of single-loop mechanism with pin joints and sliding joints," Journal of Mechanical Design, 120(3), pp. 387-391.
6. Foster, D.E. and Cipra, R.J., 2002, "An automatic method for finding the assembly configurations of planar nonsingle-input-dyadic mechanisms," Journal of Mechanical Design, 124(1), pp. 58-67.
7. Dou, X. and Ting, K.L., 1998, "Identification of singularity free joint rotation space of two-dof parallel manipulators," proceedings of DETC'98, Atlanta, Georgia.
8. Gosselin, C. and Angeles, J., 1990, "Singularity analysis of closed-loop kinematic chains," IEEE Transactions On Robotics and Automation, 6(3), pp. 281-290.
9. Dasgupta, B. and Mruthyunjaya, T., 1998, "Singularity-free path planning for the Stewart platform manipulator," Mechanism and Machine Theory, 33(6), pp. 711-725.
10. Bhattacharya, S., Hatwal, H., and Ghosh, A., 1998, "Comparison of an exact and an approximate method of singularity avoidance in platform type parallel manipulators," Mechanism and Machines Theory, 33(7), pp. 965-974.
11. Sen, S., Dasgupta, B., and Mallik, A.K., 2003, "Variational approach for singularity-free path-planning of parallel manipulators," Mechanism and Machine Theory, 38, pp. 1165-1183.
12. Chablat, D. and Wenger, P., 1998, "Working modes and aspects in fully parallel manipulators," proceedings of IEEE int. conf. on Robotics and Automation, Leuven, Belgium, pp. 1964-1969.
13. Paganelli, D., 2007, "Avoiding parallel singularities of 3UPU and 3UPS spherical wrists," proceedings of IEEE int. conf. on Robotics and Automation, Rome, Italy.
14. Pennock, G.R. and Kassner, D.J., 1993, "The workspace of a general geometry planar three-degree-of-freedom platform-type manipulator," Journal of Mechanical Design, 115(1), pp. 269-276.
15. Merlet, J.P., Gosselin, C.M., and Mouly, N., 1998, "Workspaces of planar parallel manipulators," Mechanism and Machine Theory, 33(1/2), pp.7-20.
16. Sefrioui, J. and Gosselin, C.M., 1995, "On the quadratic nature of the singularity curves of planar three-degree-of freedom parallel manipulators," Mechanism and Machine Theory, 30(4), pp.533-551.
17. Wang, J. and Gosselin, C.M., 1997, "Singularity loci of planar parallel manipulators with revolute actuators," Robotics and Autonomous Sustems, 21, pp.377-398.
18. Milnor, J., 1969, Morse Theory, Princeton University Press.
19. Hirsch, M.W., 1976, Differential Topology, Springer, New York.
20. Whitehead, W., 1978, Elements of Homotopy Theory, Springer, New York.
21. Kevin Jui C.K. and Qiao Sun, 2005, "Path tracking of parallel manipulators in the presence of force singularity," Journal of Dynamic Systems, Measurement and Control, 127, pp. 550-563.
22. Salmon, G., 1885, Modern Higher Algebra, Hodges, Figgis & Co., Dublin.
23. Fletcher, R., 1987, Practical Methods of Optimization, John Wiley & Sons, Chichester.