Representational singularities in the torque optimization problem of an active closed loop mechanism

Mechanism and Machine Theory

Volumn 35, Issue 6, 2000, Pages 871-886

  Gonzalez, L Javier ^a   Sreenivasan, S V ^a  

^a The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; ALGORITHMS; DYNAMICS; EQUATIONS OF MOTION; FRICTION; KINEMATICS; OPTIMIZATION; REDUNDANCY; TORQUE;

CLOSED KINEMATIC LOOP; SINGULARITIES; TORQUE OPTIMIZATION;

MECHANISMS;

EID: 0033871475     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0094-114X(99)00040-3     Document Type: Article

References (23)

1. I. Chen, J.W. Burdick, Finding antipodal grasps on irregularly shaped objects, IEEE Transactions on Robotics and Automation 9 (4) (1993) 507-512.
2. F.-T. Cheng, J.-L. Lee, T.-H. Chen, F.-C. Kung, Control and simulation for a closed-chain dual redundant manipulator system, Journal of Robotic Systems 12 (2) (1995) 119-133.
3. F.-T. Cheng, D.E. Orin, Efficient algorithm for optimal force distribution - the compact-dual LP method, IEEE Transactions on Robotics and Automation 6 (2) (1990) 178-187.
4. B. Dasgupta, T.S. Mruthyunjaya, Force redundancy in parallel manipulators: theoretical and practical issues, Mechanism and Machine Theory 33 (6) (1998) 727-742.
5. W. Holzmann, J.M. McCarthy, Computing the frictional forces associated with a three-fingered grasp, IEEE Transactions on Robotics and Automation 1 (4) (1985) 206-210.
6. C.A. Klein, T.S. Chung, Force interaction and allocation for the legs of a walking machine, IEEE Transactions on Robotics and Automation 3 (6) (1987) 546-555.
7. V. Kumar, K.J. Waldron, Suboptimal algorithms for force distribution in multifingered grippers, IEEE Transactions on Robotics and Automation 5 (4) (1989) 491-498.
8. V. Kumar, K.J. Waldron, Force distribution in walking vehicles, ASME Journal of Mechanical Design 112 (1) (1990) 90-99.
9. Y. Nakamura, K. Nagai, T. Yoshikawa, Mechanics of coordinative manipulation by multiple robotic mechanisms, in: Proceedings of IEEE International Conference on Robotics and Automation, 1988, pp. 991-998.
10. V. Nguyen, Constructing force-closure grasps, International Journal of Robotics Research 7 (3) (1988) 3-16.
11. I.D. Walker, R.A. Freeman, S.I. Marcus, Analysis of motion and internal loading of objects grasped by multiple cooperating manipulators, International Journal of Robotics Research, 10 (4) (1991) 396-409.
12. Y.F. Zheng, J.Y.S. Luh, Optimal load distribution for two industrial robots handling a single object, ASME Journal of Dynamic Systems Measurement and Control 111 (2) (1989) 232-237.
13. C.L. Vaughan, J.G. Hay, J.G. Andrews, Closed loop problems in biomechanics. Part I: A classification system, Journal of Biomechanics 15 (3) (1982) 197-200.
14. C.L. Vaughan, J.G. Hay, J.G. Andrews, Closed loop problems in biomechanics. Part II: An optimization approach, Journal of Biomechanics 15 (3) (1982) 201-210.
15. B.-J. Yi, R.A. Freeman, Geometric analysis of antagonistic stiffness in redundantly actuated parallel mechanisms, Journal of Robotic Systems 10 (5) (1993) 581-603.
16. R. Featherstone, Robot Dynamics Algorithms, Kluwer Academic Publishers, Boston, 1987.
17. K.H. Hunt, Kinematic Geometry of Mechanisms, Clarendon Press, Oxford, 1978.
18. W. Zhao, G. Wu, H.J. Sommer, Closed-form kinematics for a spatial closed-chain mechanism modeling biped stance, Mechanism and Machine Theory 33 (4) (1998) 379-388.
19. L.J. Gonzalez, S.V. Sreenivasan, A procedure to determine equilibrium postural configurations for arbitrary locations of the feet, 1997 Advances in Bioengineering ASME, vol. BED-36, pp. 353-354.
20. B-J. Yi, I.H. Suh, S.-R. Oh, Analysis of a 5-bar finger mechanism having redundant actuators with applications to stiffness and frequency modulations, in: Proceedings of IEEE International Conference on Robotics and Automation, April 20-25, 1997, Albuquerque, NM, vol. 1, 1997, pp. 759-765.
21. L.J. Gonzalez, Three-dimensional postural mechanics modeling of normal human subjects with nominal and asymmetric placement of the feet, Dissertation, The University of Texas at Austin 1999.
22. J. Denavit, R.S. Hartenberg, A kinematic notation for lower-pair mechanisms based on matrices, Journal of Applied Mechanics 22 (1955) 215-221.
23. K.J. Waldron, S.-L. Wang, S.J. Bolin, A study of Jacobian matrix of serial manipulators, ASME Journal of Mechanisms Transmissions and Automation in Design 107 (2) (1985) 230-238.