Basic optimization methods of redundant manipulators

Laboratory Robotics and Automation

Volumn 8, Issue 1, 1996, Pages 49-60

  Yoshikawa, Tsuneo ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; COLLISION AVOIDANCE; MATHEMATICAL TECHNIQUES; MAXIMUM PRINCIPLE; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; REDUNDANCY; TORQUE; VARIATIONAL TECHNIQUES; VELOCITY;

CRITERION FUNCTION; INPUT FORMULATION; REDUNDANT MANIPULATORS; TASK DECOMPOSITION APPROACH;

MANIPULATORS;

EID: 0030078917     PISSN: 08957533     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2728(1996)8:1<49::AID-LRA6>3.0.CO;2-X     Document Type: Article

References (39)

1. D. E. Whitney, "The Mathematics of Coordinated Control of Prosthetic Arms and Manipulators," Trans. ASME J. Dynamic Systems, Measurement, and Control, 94(4), 303-309 (1972).
2. K. Takase, H. Inoue, and K. Sato, "The Design of an Articulated Manipulator with Torque Control Ability," Proc. 4th Int. Symp. on Industrial Robots, pp. 261-270 (Nov. 1974).
3. E. Nakano and S. Ozaki, "Cooperative Control of a Pair of Anthropomorphic Manipulators - MELARM," 4th Int. Conf. Industrial Robots, pp. 251-260 (1974).
4. M. Benati, P. Morasso, and V. Tagliasco, "The Inverse Kinematic Problem for Anthropomorphic Manipulator Arms," Trans. ASME, 104, 110-113 (1982).
5. A. Liégeois, "Automatic Supervisory Control of the Configuration and Behavior of Multibody Mechanisms," IEEE Trans. Sys. Man. Cyber., SMC-7 (12), 868-871 (1977).
6. H. Hanafusa, T. Yoshikawa, and Y. Nakamura, "Analysis and Control of Articulated Robot Arms with Redundancy," Prep. 8th IFAC World Congress, XIV, pp. 78-83 (1981).
7. M. S. Konstantinov, M. D. Mrakov, and D. N. Nenchev, "Kinematic Control of Redundant Manipulators," Proc. 11th ISIR, pp. 561-568 (1981).
8. C. A. Klein and C. H. Huang, "Review of Pseudoinverse Control for Use with Kinematically Redundant Manipulators," IEEE Trans. Sys. Man. Cyber., SMC-13(3), 245-250 (1983).
9. O. Khatib, "Dynamic Control of Manipulators in Operational Space," Proc. 6th IFToMM Congress on Theory of Machines and Mechanisms, New Delhi, pp. 1123-1131 (1983).
10. T. Yoshikawa, "Analysis and Control of Robot Manipulators with Redundancy," Robotics Research, The First International Symposium, M. Brady and R. Paul (eds) MIT Press, Cambridge, MA, pp. 735-747 (1984).
11. J. Baillieul, J. Hollerbach, and R. W. Brockett, "Programming and Control of Kinematically Redundant Manipulators," Proc. 23rd IEEE Conf. on Decision and Control, Las Vegas, pp. 768-774 (1984).
12. M. Uchiyama, K. Shimizu, and K. Hakomori, "Performance Evaluation of Manipulators Using the Jacobian and Its Application to Trajectory Planning," Robotics Research, The Second International Symposium, pp. 447-454 (1985).
13. P. H. Chang, "A Closed-Form Solution for the Control of Manipulators with Kinematic Redundancy," Proc. IEEE Int. Conf. on Robotics and Automation, San Francisco, pp. 9-14 (1986).
14. D. R. Baker and C. W. Wampler, "On the Inverse Kinematics of Redundant Manipulators," Int. J. Robotics Res., 7(2), 3-21 (1988).
15. A. A. Maciejewski and C. A. Klein, "Obstacle Avoidance for Kinematically Redundant Manipulators in Dynamically Varying Environments," Int. J. Robotics Res., 4(3), 109-117 (1985).
16. Y. Nakamura and H. Hanafusa, "A Optimal Redundancy Control of Robot Manipulators," Int. J. Robotics Res., 6(1), 32-42 (1987).
17. Y. Nakamura, H. Hanafusa, and T. Yoshikawa, "Task-Priority Based Redundancy Control of Robot Manipulators," Int. J. Robotics Res., 6(2), 3-15 (1987).
18. J. M. Hollerbach and K. C. Sub, "Redundancy Resolution of Manipulators through Torque Optimization," IEEE J. Robotics Automation, RA-3(4), 308-316 (1987).
19. K. C. Sub and J. M. Hollerbach, "Local Versus Global Torque Optimization of Redundant Manipulators," Proc IEEE Int. Conf. on Robotics and Automation, Raleigh, pp. 619-624 (1987).
20. K. Kazerounian and Z. Wang, "Global Versus Local Optimization in Redundancy Resolution of Robotic Manipulators," Int. J. Robotics Res., 7(5), 3-12 (1988).
21. D. P. Martin, J. Baillieul, and J. Hollerbach, "Resolution of Kinematic Redundancy Using Optimization Techniques," IEEE Trans. on Robotics and Automation, 5(4), 529-533 (1989).
22. W. F. Carriker, P. K. Khosla, and B. H. Krogh, "Path Planning for Mobile Manipulators for Multiple Task Execution," IEEE Trans. on Robotics and Automation, 7(3), 403-408 (1991).
23. C. Wampler, "Wrist Singularities: Theory and Practice," The Robotics Review 2, O. Khatib et al. (eds) MIT Press, Cambridge, MA, pp. 173-189 (1992).
24. G. S. Chirikjian and J. W. Burdick, "A Modal Approach to Hyper-Redundant Manipulator Kinematics," IEEE Trans. on Robotics and Automation, 10(3), 343-354 (1994).
25. T. Yoshikawa, K. Hosoda, T. Doi, and H. Murakami, "Dynamic Trajectory Tracking Control of Flexible Manipulator by Macro-Micro Manipulator System," Proc. IEEE Int. Conf. on Robotics and Automation, San Diego, pp. 1804-1809 (1994).
26. T. Yoshikawa, K. Hosoda, K. Harada, A. Matsumoto, and H. Murakami, "Hybrid Position/Force Control of Flexible Manipulators by Macro-Micro Manipulator System," Proc. IEEE Int. Conf. on Robotics and Automation, San Diego, pp. 2125-2130 (1994).
27. K. Nagai and T. Yoshikawa, "Impedance Control of Redundant Macro-Micro Manipulators," Proc. IEEE-?RSJ/GI International Conference on Intelligent Robots and Systems (IROS'94), pp. 1438-1445 (1994).
28. K. Nagai and T. Yoshikawa, "Grasping and Manipulation by Arm/Multifingered-Hand Mechanisms," Proc. IEEE Int. Conf. on Robotics and Automation, Nagoya, pp. 1040-1047 (1995).
29. T. Yoshikawa, Foundations of Robotics, MIT Press, Cambridge, MA (1990).
30. Y. Nakamura, Advanced Robotics, Redundancy and Optimization, Addison-Wesley, Reading, MA (1991).
31. T. L. Boullion and P. L. Odelle, Generalized Inverse Matrices, Wiley, New York (1971).
32. K. L. Doty, C. Melchiorri, and C. Bonivento, "A Theory of Generalized Inverses Applied to Robotics," Int. J. Robotics Res., 12(1), 1-19 (1993).
33. T. Yoshikawa, "Manipulability of Robotic Mechanisms," Int. J. Robotics Res., 4(2), 3-9 (1985).
34. T. Yoshikawa, "Dynamic Manipulability of Robotic Mechanisms," J. Robotic Systems, 2(1), 113-124 (1985).
35. J. Y. S. Luh, M. H. Walker, and R. P. C. Paul, "Resolved Acceleration Control of Mechanical Manipulators," IEEE Trans. on Automatic Control, 25(3), 468-474 (1980).
36. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, The Mathematical Theory of Optimal Processes, Interscience Publishers, New York (1962).
37. R. Bellman, Adaptive Control Processes: A Guided Tour, Princeton Univ. Press, Princeton, NJ (1961).
38. D. G. Luenberger, Optimization by Vector Space Methods, Wiley, New York (1969).
39. M. Athans and P. L. Falb, Optimal Control, McGraw-Hill, New York (1966).