Abstract
The paper critically evaluates the utilisation of pseudo-inverse-based methods for the kineniatic inversion of hyper-redundant multi-link robot manipulators. The validity of these methods is questioned from the viewpoint of the computational efficiency specified in terms of arithmetic operations per iteration step. Even though the pseudo-inverse-based methods provide better convergence, less computation time is needed by steepest descent methods especially in continuous path control and in applications where very few iterations are needed or good initial estimations are provided
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References
Maciejewski, A.A, and Klein, C.A. 1985. Obstacle Avoidance for Kinematically Redundant Manipulators in Dynamically Varying Environments, Int. J. Robotics Research, 4 (4) : 109–117
Galicki, M. 1992. Optimal Planning of a Collision-free Trajectory of Redundant Manipulators, Int. J. Robotics Research, 11(6): 549–559
Colbaugh, R., Seraji, H., Glass, K.L. 1989. Obstacle Avoidance for Redundant Robots Using Configuration Control, J. Robotic Syst., 6(6):721–744 (1989)
Baker, D.R., Wampler, C.W. 1988. On the Inverse Kinematics of Redundant Manipulators, Int. J. Robotics Research, 7(2): 3–21
Nakamura, Y., Hanafusa, H. 1986. Inverse Kinematic Solutions With Singularity Robustness for Robot Manipulator Control, Trans. ASME, J. Dynamic Syst., Measurement, and Control, 10: 163–171
Shamir, T. 1990. The Singularities of Redundant Robot Arms, J. Robotics Research, 9(1): 113–121
Pettinato, J. S., Stephanou, H.E. 1989. Manipulability and Stability of a Tentacle Based Robot Manipulator, IEEE Cor f on Robotics and Automation, Arizona: 458–463
Kerr, D.R., Griffits, M., Sanger, D.J., Duffy, J. 1992. Redundant Grasps, Redundant Manipulators, and Their Dual Relationships”, J. Robotic Syst., 9(7): 973–1000
Chiacchio, P.,Chiaverini, S., Sciavicco, L., Siciliano, B. 1991. Closed-Loop Inverse Kinematics Schemes for Constrained Redundant Manipulators with Task Space Augmentation and Task Priority Strategy, J. Robotics Research., 10(4): 410–425
Kieffer, J., Lenarčič, J. 1992. On the Exploitation of Mechanical Advantage Near Robot Singularities, Init. Workshop on Advances in Robot Kinematics, Ferrara, Italy
Chirikjian, G.S., Burdick, J.W. 1991. Kinematics of Hyper-Redundant Manipulators, Advances in Robot Kinematics, Springer-Verlag, Wien
Chang, P.H. 1987. A Closed-Form Solution for Inverse Kinematics of Robot Manipulators with Redundancy, IEEE J. Robotics and Automation, RA-3(5): 393–403
Lenarčič, J. 1993. Motion of Robot Mechanisms: Robot Kinematics, Encyclopedia of Microcomputers - Vol. 11, Marcel Dekker, New York
Klein, C.A., Huang, C.H. 1983. Review of Pseudoinverse Control for Use with Kinematically Redundant Manipulators, IEEE Trans. on Syst., Man, and Cybern., SMC-13(3): 245–250
Benhabib, B., Goldenberg, A.A., Fenton, R.G. 1985 A Solution to the Inverse Kinematics of Redundant Manipulators, J. Robotics Systems, 2(4): 373–385
Lovass-Nagy, L., Schilling, R.J. 1987. Control of Kinematically Redundant Robots Using { 1}-Inverses, IEEE Trans. on Syst., Man, and Cybern., 17(4): 644–649
Nakamura, Y., Hanafusa, H., Yoshikawa, T. 1987. Task-Priority Based Redundancy Control of Robot Manipulators, Int. J. Robotics Research, 6(2) : 3–15
Nenchev, D.N. 1989. Redundancy Resolution through Local Optimisation: A Review, Int. J. Robotic Systems, 6(6): 769–798
Stanišić, M.M., Pennock, G.R. 1985. A Nondegenerate Kinematic Solution of SevenJointed Robot Manipulator, Int. J. Robotics Research, 4(2): 10–20
Varma, H., Huang, M.Z. 1992. Analytic Minimum-Norm Solution for Rate Coordination in Redundant Manipulators, J. Robotic Systems 9(8): 1001–1021
Duffy, J., Crane, C., A Displacement Analysis of the General 7-Link, 7R Mechanism, Mech. Mach. Theory, 15(3): 153–169
Chaware, P.R., Amarnath, C. 1987. A Combined Approach for the Solution of the Inverse Kinematic Problem for Certain Special 7R Manipulators, Mech. Mach. Theory, 22 (2) : 147–151
Ghosal, A., Roth, B. 1988. A New Approach for Kinematic Resolution of Redundancy, Int. J. Robotics Research, 7(2): 22–35
Nedungadi, A., Kazerounian, K. 1989. A Local Solution with Global Characteristics for the Joint Torque Optimization of a Redundant Manipulator, J. Robotic Systems 6(5): 631–654
Kazerounian, K.,Wang, Z. 1988. Global versus Local Optimization in Redundancy Resolution of Robotic Manipulators, Int. J. Robotics Research, 7(5): 3–13
Klein, C.A., Kee, K.B. 1989. The Nature of Drift in Pseudoinverse Control of Kinematically Redundant Manipulators, IEEE J. Robotics and Automation, 5(2): 231–234
Luo, S., Ahmad, S. 1992. Predicting Drift Motion for Kinematically Redundant Robots, IEEE Trans. Syst., Man, and Cybern., 22(4): 717–728
Bay, J.S. 1992. Geometry and Prediction of Drift-Free Trajectories for Redundant Machines Under Pseudoinverse Control, Int. J. Robotics Research, 11(1): 41–53
Powell, M.J.D. 1962. An Iterative Method for Finding Stationary Values of a Function of Several Variables, The Computer J., 5: 147
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© 1993 Springer Science+Business Media Dordrecht
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Lenarčič, J. (1993). Computational Considerations on Kinematics Inversion of Multi-Link Redundant Robot Manipulators. In: Angeles, J., Hommel, G., Kovács, P. (eds) Computational Kinematics. Solid Mechanics and Its Applications, vol 28. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8192-9_7
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DOI: https://doi.org/10.1007/978-94-015-8192-9_7
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