A COORDINATE-FREE METHOD FOR FINDING CONSTRAINT SINGULARITIES IN PARALLEL ROBOTS

John F. O’Brien

References

  1. [1] J.-P. Merlet, Parallel manipulators: state of the art andperspective, in T. Takamori & K. Tsuchiya (Eds.), Robotics,Mechatronics, and Manufacturing Systems (Paris: Elsevier,1993).
  2. [2] J.-P. Merlet, Parallel manipulators 2: The theory, singularconfigurations, and grassman geometry, Rep. 791, INRIA,France, 1988.
  3. [3] J.-P. Merlet, Singular configurations of parallel manipulatorsand grassman geometry, The International Journal of Roboticsof Research, 8(5), 1989, 45–56.
  4. [4] A. Bicchi, C. Melchiorri, & D. Balluchi, On the mobilityand manipulability of general multiple limb robots, IEEETransactions on Robotics and Automation, 11, 1995, 215–228.
  5. [5] A. Bicchi & D. Prattichizzo, Manipulability of co-operatingrobots with passive joints, Proc. 1998 IEEE InternationalConference on Robotics and Automation, Leuven, Belgium,1998, 1038–1044.
  6. [6] A. Bicchi & D. Prattichizzo, Manipulability of cooperatingrobots with unactuated joints and closed-chain mechanisms,IEEE Transactions on Robotics and Automation, 16, 2000,336–345.
  7. [7] P. Chiacchio, S. Chiaverini, L. Sciavicco, & B. Siciliano, Globaltask space manipulability ellipsoids for multiple-arm systems,IEEE Transactions on Robotics and Automation, 7, 1991,678–685.
  8. [8] C. Gosselin & J. Angeles, Singularity analysis of closed-loopkinematic chains. IEEE Transactions on Robotics and Au-tomation, 6(3), 1990, 281–290.
  9. [9] F. Park & J. Kim, Manipulability and singularity analysis ofmultiple robotic systems: A geometric approach, Proc. 1998IEEE International Conference on Robotics and Automation,Leuven, Belgium, 1998, 1032–1037.
  10. [10] J. Wen & L. Wilfinger, Kinematic manipulability of generalconstrained rigid multibody systems, Proc. 1998 IEEE In-ternational Conference on Robotics and Automation, Leuven,Belgium, 1998, 1020–1025.
  11. [11] C. Han, J. Kim, J. Kim, & F.C. Park, Kinematic sensitivityof the 3-UPU parallel mechanism, Mechanism and MachineTheory, 37(8), 2002, 787–798.
  12. [12] D. Zlatanov, R.G. Fenton, & B. Benhabib, Singularity analysisof mechanisms and robots via a motion-space model of theinstantaneous kinematics, ASME94, Minneapolis, MN, 1994,467–476.
  13. [13] D. Zlatanov, R.G. Fenton, & B. Benhabib, A unifying frame-work for classification and interpretation of mechanism singu-larities, ASME Journal of Mechanical Design, 117(4), 1995,566–572.
  14. [14] D. Zlatanov, R.G. Fenton, & B. Benhabib, Classification andinterpretation of the singularities of redundant mechanisms,ASME Design Engineering Technical Conferences, Atlanta,1998.
  15. [15] J.-P. Merlet, A formal-numerical approach for robust in-workspace singularity detection, IEEE Transactions onRobotics, 23(3), 2007, 393–402.
  16. [16] J. Wang, Q. Qiang, Q. Yu, & Q. Qian, Numeric-symbolicsolutions to analyses of forward position and singularity con-figuration for 3-RPS parallel mechanism, Lecture Notes inComputer Science, 5315 LNAI, Part 2, 2008, 993–1002.
  17. [17] M. Husty & A. Karger, Self-motions of Griffis-Duffy typeparallel manipulators, Proc. IEEE Int. Conf. Robotics andAutomation, San Francisco, CA, 2000, 7–12.
  18. [18] A. Karger & M. Husty, On self-motions of a class of parallelmanipulators, Advances in Robot Kinematics, Norwell, MA,1996, 439–449.
  19. [19] A. Karger & M. Husty, Recent results of self motions of parallelmechanisms, Proc. RAAD, Cassino, Italy, 1997, 383–388.
  20. [20] I. Ebert-Uphoff, J.-K. Lee, & H. Lipkin, Characteristic tetra-hedron of wrench singularities for parallel manipulators withthree legs, Proceedings of the Institution of Mechanical En-gineers, Part C: Journal of Mechanical Engineering Science,216(1), 2002, 81–93.
  21. [21] G. Liu, Y. Lou, & Z. Li, Singularities of parallel manipula-tors: A geometric treatment, Transactions on Robotics andAutomation, 19(4), 2003, 579–594.
  22. [22] L. Notash & R.P. Podhorodeski, Uncertainty configurations ofthree-branch parallel manipulators: Identification and elimina-tion, Robotics: Kinematics, Dynamics and Control – ASME,DE-Vol 72, 1994, 459–466.
  23. [23] L. Notash, Uncertainty configurations in parallel manipulators,Mechanism and Machine Theory, 33, 1998, 123–138.
  24. [24] Y. Li & Z. Huang, The singularity analysis of 3-RPS parallelmanipulator, Proceedings of the ASME International DesignEngineering Technical Conferences and Computers and Infor-mation in Engineering Conference, Philadelphia, PA, 2006.
  25. [25] R.D. Gregorio & V. Parenti-Castelli, Mobility analysis of the3-UPU parallel mechanism assembled for a pure translationalmotion, Proc. 1999 IEEE/ASME International Conference onAdvanced Intelligent Mechatronics, Atlanta, GA, 1999, 520–525.
  26. [26] M. Carricato & V. Parenti-Castelli, Singularity-free fully-isotropic translational parallel mechanisms, The InternationalJournal of Robotics Research, 21(2), 2002, 161–174.
  27. [27] J. O’Brien & J. Wen, Redundant actuation for improvingkinematic manipulability, in Proc. 1999 IEEE InternationalConference on Robotics and Automation, Detroit, Michigan,2, 1999, 1520–1525.
  28. [28] J. O’Brien & J. Wen, On kinematic instability of parallelrobots, in F.C. Park & C. Iurascu (Eds.), Electronic Journalof Computational Kinematics, 2, 2002, 279–290.
  29. [29] J. Wen & J. O’Brien, Singularities in three-legged platform-type parallel mechanisms, IEEE Transactions on Robotics andAutomation, 19(4), 2003, 720–725.
  30. [30] S. Leguay-Durand & C. Reboulet, Optimal design of a re-dundant spherical parallel manipulator, Robotica, 15(4), 1997,399–405.
  31. [31] S.J. Ryu, J.W. Kim, J.C. Hwang, C. Park, H.S. Ho, K. Lee, Y.Lee, U. Cornel, F.C. Park, & J. Kim, Eclipse: An overactuatedparallel mechanism for rapid machining, Proc. 1998 ASMEInt. Mechanical Engineering Congr. Expo, Anaheim, CA, 1998,681–689.
  32. [32] J. Kim, F.C. Park, & J.M. Lee, A new parallel mechanismmachine tool capable of five face machining, Annals of theCIRP, 48(1), 1999, 337–340.
  33. [33] J. O’Brien & J. Wen, Kinematic control of parallel robotsin the presence of unstable singularities, Proc. 2001 IEEEInternational Conference on Robotics and Automation, Seoul,Korea, 2001, 354–359.
  34. [34] J. O’Brien & J. Wen, Kinematic control of parallel robotsexhibiting self-motion, International Journal of Automation,Robotics and Autonomous Systems, 6(1), 2007, 5–16.
  35. [35] Y. Yang & J. O’Brien, A sequential method for singularity-freeworkspace design of a planar 3-arm parallel robot, IEEE/RSJInternational Conference on Intelligent Robotics and Systems,Nice, France, 2008.
  36. [36] Y. Yang & J. O’Brien, A geometric approach for singularity-free parallel robot designs, IEEE International Conference onRobotics and Automation, Kobe, Japan, 2009.
  37. [37] D. Zlatanov, I. Bonev, & M. Gosselin, Constraint singularitiesof parallel mechanisms, IEEE International Conference onRobotics Automation, Washington, DC, 2002, 496–502.
  38. [38] D. Zlatanov, I. Bonev, & M. Gosselin, Constraint singularitiesas configuration space singularities, ARK, Spain, 2002.
  39. [39] I. Bonev & D. Zlatanov, The mystery of the singular SNUtranslational parallel robot, Parallel MIC Website.
  40. [40] M. Zoppi, L. Bruzzone, R. Molfino, & R. Michelini, Constraintsingularities of force transmission in nonredundant parallelrobots with less than six degrees of freedom, Journal ofMechanical Design, 125, 2003, 557–563.
  41. [41] J. O’Brien, F. Jafari, & J. Wen, Determination of unstablesingularities in parallel robots with N-arms, IEEE Transactionson Robotics, 22(1), 2006, 160–167.
  42. [42] J. O’Brien, F. Jafari, & J. Wen, Self-motion of spatial parallelmechanisms with more than three legs, Proceedings of the 2005IEEE Conference on Robotics and Automation, Barcelona,Spain, 2005, 954–959.
  43. [43] C. Gosselin & J. Angeles, Singularity analysis of closed-loopkinematic chains, IEEE Transactions on Robotics and Au-tomation, 6, 1990, 281–290.
  44. [44] D. Carruthers, J. O’Brien, J. McInroy, & Y. Yang, Develop-ment of a voice-coil actuated limited-degree-of-freedom parallelmechanism for vibration suppression, Proceedings of the Insti-tution of Mechanical Engineers, Part 1: Journal of Systemsand Control Engineering, 223(1), 2009, 85–94.

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