메뉴 건너뛰기




Volumn 8, Issue 3, 2002, Pages 299-328

Local analysis of singular configurations of open and closed loop manipulators

Author keywords

Controllability; Escapement from singularities; Higher order analysis; Lie groups; Singularities

Indexed keywords

ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; COMPUTER SIMULATION; CONTROL SYSTEM ANALYSIS; KINEMATICS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; NUMERICAL ANALYSIS;

EID: 0036815684     PISSN: 13845640     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (16)

References (44)
  • 1
    • 0011916342 scopus 로고
    • Subgroups of the euclidean group and symmetry breaking in nonrelativistic quantum mechanics
    • Beckers, J., Patera, J., Perroud, M. and Winternitz, P., 'Subgroups of the Euclidean group and symmetry breaking in nonrelativistic quantum mechanics', J. Math. Phys. 18(1), 1977, 72-83.
    • (1977) J. Math. Phys. , vol.18 , Issue.1 , pp. 72-83
    • Beckers, J.1    Patera, J.2    Perroud, M.3    Winternitz, P.4
  • 3
    • 0029277864 scopus 로고
    • A recursive method for finding revolute-jointed manipulator sinuglarities
    • Burdick, J.W., 'A recursive method for finding revolute-jointed manipulator sinuglarities, J. Mech. Design 117, 1995, 55-63.
    • (1995) J. Mech. Design , vol.117 , pp. 55-63
    • Burdick, J.W.1
  • 5
    • 0034301676 scopus 로고    scopus 로고
    • Singularity analysis of parallel manipulators and closed-loop mechanisms
    • Choudry, P. and Ghosal, A., 'Singularity analysis of parallel manipulators and closed-loop mechanisms', Mech. Mach. Theory 35, 2000, 1455-1479.
    • (2000) Mech. Mach. Theory , vol.35 , pp. 1455-1479
    • Choudry, P.1    Ghosal, A.2
  • 6
    • 0032003763 scopus 로고    scopus 로고
    • Analysis and design of a six-dof parallel manipulator, modeling, singular configurations, and workspace
    • Dafaoui El.-M., 'Analysis and design of a six-dof parallel manipulator, modeling, singular configurations, and workspace', IEEE Trans. Robotics Automation 14(1), 1998, 78-91.
    • (1998) IEEE Trans. Robotics Automation , vol.14 , Issue.1 , pp. 78-91
    • Dafaoui, El.-M.1
  • 7
    • 0025445470 scopus 로고
    • Singular analysis of closed-loop kinematic chains
    • Gosselin, C.M. and Angeles, J., 'Singular analysis of closed-loop kinematic chains', IEEE Trans. Robotics Automation 6(3), 1990, 281-290.
    • (1990) IEEE Trans. Robotics Automation , vol.6 , Issue.3 , pp. 281-290
    • Gosselin, C.M.1    Angeles, J.2
  • 8
    • 0032182497 scopus 로고    scopus 로고
    • Dual number method, rank of a screw system and generation of lie sub-algebras
    • Hao, K., 'Dual number method, rank of a screw system and generation of Lie sub-algebras', Mech. Mach. Theory 33(7), 1998, 1063-1084.
    • (1998) Mech. Mach. Theory , vol.33 , Issue.7 , pp. 1063-1084
    • Hao, K.1
  • 10
    • 0022756616 scopus 로고
    • Special configurations of robot-arms via screw theory
    • Hunt, K.H., 'Special configurations of robot-arms via screw theory', Robotica 4, 1986, 171-179.
    • (1986) Robotica , vol.4 , pp. 171-179
    • Hunt, K.H.1
  • 12
    • 22444454083 scopus 로고    scopus 로고
    • Analytic geometry and singularities of mechanisms
    • Lebert, J., 'Analytic geometry and singularities of mechanisms', Z. angew. Math. Mech. (ZAMM) 78(10b), 687-694.
    • Z. Angew. Math. Mech. (ZAMM) , vol.78 , Issue.10 b , pp. 687-694
    • Lebert, J.1
  • 13
    • 0030165055 scopus 로고    scopus 로고
    • Classification of robot-manipulators with nonremovable singularities
    • Karger, A., 'Classification of robot-manipulators with nonremovable singularities', Trans. ASME 118, 1996, 202-208.
    • (1996) Trans. ASME , vol.118 , pp. 202-208
    • Karger, A.1
  • 14
    • 0030388415 scopus 로고    scopus 로고
    • Singular analysis of serial robot-manipulators
    • Karger, A., 'Singular analysis of serial robot-manipulators', ASME J. Mech. Design 118, 1996, 520-525.
    • (1996) ASME J. Mech. Design , vol.118 , pp. 520-525
    • Karger, A.1
  • 15
    • 0035398849 scopus 로고    scopus 로고
    • Singularities and self-motion of equiform platforms
    • Karger, A., 'Singularities and self-motion of equiform platforms', Mech. Mach. Theory 36, 2001, 801-815.
    • (2001) Mech. Mach. Theory , vol.36 , pp. 801-815
    • Karger, A.1
  • 16
    • 84995037667 scopus 로고
    • Geometric phases and robotic locomotion
    • Kelly, S.D. and Murray, R.M., 'Geometric Phases and robotic locomotion', J. Robotic Systems 6(12), 1995, 417-431.
    • (1995) J. Robotic Systems , vol.6 , Issue.12 , pp. 417-431
    • Kelly, S.D.1    Murray, R.M.2
  • 17
    • 0031145153 scopus 로고    scopus 로고
    • Optimal control for holonomic and nonholonomic systems with symmetry and lagrangian reduction
    • Koon, W.S. and Marsden, J.E., 'Optimal control for holonomic and nonholonomic systems with symmetry and Lagrangian reduction', SIAM, J. Control Optimization 35(3), 1997, 901-929.
    • (1997) SIAM, J. Control Optimization , vol.35 , Issue.3 , pp. 901-929
    • Koon, W.S.1    Marsden, J.E.2
  • 19
    • 0001168352 scopus 로고
    • The reduced euler-lagrange equations
    • Marsden, J. and Scheurle, J., 'The reduced Euler-Lagrange equations', Fields Institute Comm. 1, 1993, 139-164.
    • (1993) Fields Institute Comm. , vol.1 , pp. 139-164
    • Marsden, J.1    Scheurle, J.2
  • 20
    • 0001591734 scopus 로고    scopus 로고
    • A differential geometric method in multibody system dynamics
    • Maisser, P., 'A differential geometric method in multibody system dynamics', Nonlinear Anal., Theory, Methods, Appl. 30(8), 1997, 5127-5133.
    • (1997) Nonlinear Anal., Theory, Methods, Appl. , vol.30 , Issue.8 , pp. 5127-5133
    • Maisser, P.1
  • 22
    • 0024752019 scopus 로고
    • Singular configurations of parallel manipulators and grassman geometry
    • Merlet, J.P., 'Singular configurations of parallel manipulators and Grassman geometry', Internat. J. Robotics Research 8(5), 1989, 45-56.
    • (1989) Internat. J. Robotics Research , vol.8 , Issue.5 , pp. 45-56
    • Merlet, J.P.1
  • 23
    • 84980087177 scopus 로고
    • Some applications of the representation theory of the euclidean group in three-space
    • Miller, W., 'Some applications of the representation theory of the Euclidean group in three-space', Comm. Pure Appl. Math. XVII, 1964, 527-540.
    • (1964) Comm. Pure Appl. Math. , vol.17 , pp. 527-540
    • Miller, W.1
  • 24
    • 0037716973 scopus 로고    scopus 로고
    • A lie-group formulation of kinematics and dynamics of constrained MBS and its application to analytical mechanics
    • to appear
    • Müller, A. and Maisser, P., 'A Lie-group formulation of kinematics and dynamics of constrained MBS and its application to analytical mechanics', Multibody Systems Dynam., to appear.
    • Multibody Systems Dynam.
    • Müller, A.1    Maisser, P.2
  • 25
    • 0027590367 scopus 로고
    • Nonholonomic motion planning: Steering using sinusoids
    • Murray, R.M. and Sastry, S.S., 'Nonholonomic motion planning: Steering using sinusoids', IEEE Trans. Autom. Control 38(5), 1993, 700-716.
    • (1993) IEEE Trans. Autom. Control , vol.38 , Issue.5 , pp. 700-716
    • Murray, R.M.1    Sastry, S.S.2
  • 31
    • 0029321694 scopus 로고
    • Solving polynomial systems for the kinematic analysis and synthesis of mechanisms and robotic manipulators
    • Raghavan, M. and Roth: B., 'Solving polynomial systems for the kinematic analysis and synthesis of mechanisms and robotic manipulators', Trans. ASME 117(71), 1995.
    • (1995) Trans. ASME , vol.117 , Issue.71
    • Raghavan, M.1    Roth, B.2
  • 32
    • 0011973509 scopus 로고
    • A determination of singular configurations of serial non-redundant manipulators, and their escapement from singularities using lie products
    • J.-P. Merlet and B. Ravani (eds), Kluwer Academic Publishers, Dordrecht
    • Rico, J.M. Gallardo, J. and Duffy, J., 'A determination of singular configurations of serial non-redundant manipulators, and their escapement from singularities using Lie products', in Computational Kinematics, J.-P. Merlet and B. Ravani (eds), Kluwer Academic Publishers, Dordrecht, 1995, 143-152.
    • (1995) Computational Kinematics , pp. 143-152
    • Rico, J.M.1    Gallardo, J.2    Duffy, J.3
  • 33
    • 0033133404 scopus 로고    scopus 로고
    • Singularities in mechanism II - Trajectory tracking in the 3-axis wrist
    • Shankar, S., 'Singularities in mechanism II - Trajectory tracking in the 3-axis wrist', Mech. Mach. Theory 34, 1999, 513-526.
    • (1999) Mech. Mach. Theory , vol.34 , pp. 513-526
    • Shankar, S.1
  • 36
    • 0003476252 scopus 로고    scopus 로고
    • Motion control for nonholonomic systems on matrix lie groups
    • Ph.D. Thesis, University of Maryland
    • Struemper, H.K., 'Motion control for nonholonomic systems on matrix Lie groups', Ph.D. Thesis, University of Maryland, 1997, http://www.isr.umd.edu/CDCSS/cdcss.html
    • (1997)
    • Struemper, H.K.1
  • 37
    • 0001727848 scopus 로고
    • On the parametrization of the three-dimensional rotation group
    • Stuelpnagel, J., 'On the parametrization of the three-dimensional rotation group', SIAM Rev. 6(4), 1964, 422-430.
    • (1964) SIAM Rev. , vol.6 , Issue.4 , pp. 422-430
    • Stuelpnagel, J.1
  • 38
    • 0020301744 scopus 로고
    • Application of linear algebra to screw systems
    • Sugimoto, K., and Duffy, J., 'Application of linear algebra to screw systems', Mech. Mach. Theory 17(1), 1991, 73-83.
    • (1991) Mech. Mach. Theory , vol.17 , Issue.1 , pp. 73-83
    • Sugimoto, K.1    Duffy, J.2
  • 39
    • 0034174188 scopus 로고    scopus 로고
    • Singularities of the euler wrist
    • Tchon, K., 'Singularities of the Euler wrist', Mech. Mach. Theory 35, 2000, 505-515.
    • (2000) Mech. Mach. Theory , vol.35 , pp. 505-515
    • Tchon, K.1
  • 40
    • 0027505273 scopus 로고
    • Generic maps of mechanical manipulators
    • Tsai, K.Y., Arnold, J. and Kohli, D., 'Generic maps of mechanical manipulators', Mech. Mach. Theory 28(1), 1993, 53-64.
    • (1993) Mech. Mach. Theory , vol.28 , Issue.1 , pp. 53-64
    • Tsai, K.Y.1    Arnold, J.2    Kohli, D.3
  • 41
    • 0001208702 scopus 로고
    • Tangents to an analytic variety
    • Whitney, H., 'Tangents to an analytic variety', Ann. of Math. 81, 1965, 496-549.
    • (1965) Ann. of Math. , vol.81 , pp. 496-549
    • Whitney, H.1
  • 42
    • 0031386169 scopus 로고    scopus 로고
    • Kinematic analysis and singularity representation of spatial five-degree-of-freedom parallel mechanisms
    • Wang, J. and Gosselin, C.M., 'Kinematic analysis and singularity representation of spatial five-degree-of-freedom parallel mechanisms', J. Robotic Systems 14(12), 1997, 851-869.
    • (1997) J. Robotic Systems , vol.14 , Issue.12 , pp. 851-869
    • Wang, J.1    Gosselin, C.M.2
  • 43
    • 0001940040 scopus 로고
    • Identification and classification of the singular configurations of mechanisms
    • J.P. Merlet and B. Ravani (eds), Kluwer Academic Publishers, Dordrecht
    • Zlatanov, D., Fenton, R.G. and Benhabib, B., 'Identification and classification of the singular configurations of mechanisms', in Computational Kinematics, J.P. Merlet and B. Ravani (eds), Kluwer Academic Publishers, Dordrecht, 1995, 163-172.
    • (1995) Computational Kinematics , pp. 163-172
    • Zlatanov, D.1    Fenton, R.G.2    Benhabib, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.