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Coping with joint velocity limits in first-order inverse kinematics algorithms: analysis and real-time implementation

Published online by Cambridge University Press:  09 March 2009

Pasquale Chiacchio
Affiliation:
Dipartimento di Informatica e Sistemistica, Università degli Studi di Napoli “Federico II”, via Claudio 21, 80125 Napoli (Italy)
Stefano Chiaverini
Affiliation:
Dipartimento di Informatica e Sistemistica, Università degli Studi di Napoli “Federico II”, via Claudio 21, 80125 Napoli (Italy)

Summary

A major problem in inverse kinematics algorithms is that the generated joint velocities to be fed to the joint servos may cause violation of the speed limits of the joint actuators. In this paper, it is shown how to properly cope with joint velocity limits in first-order inverse kinematics algorithms; the proposed technique guarantees tracking of the desired end-effector path. This goal is achieved by suitably slowing down the task-space trajectory when joint velocity limits are encountered. The time law is modified through a time warp such that the introduced virtual time allows fulfillment of the velocity constraints. A case study is developed to show the effectiveness of the proposed method and a kinematic control scheme based on the presented technique is implemented to demonstrate feasibility under real-time constraints.

Type
Articles
Copyright
Copyright © Cambridge University Press 1995

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References

1.Pieper, D.L., “The kinematics of manipulators under computer control” Ph.D. Dissertation (Stanford University, Stanford, CA, 1969).Google Scholar
2.Whitney, D.E., “Resolved motion rate control of manipulators and human prosthesesIEEE Transactions on Man-Machine Systems 10, 4753 (1969).CrossRefGoogle Scholar
3.Nakamura, Y. and Hanafusa, H., “Inverse kinematic solutions with singularity robustness for robot manipulator controlTransactions of the ASME J. Dynamic Systems, Measurements, and Control 108, 163171 (1986).CrossRefGoogle Scholar
4.Wampler, C.W. II, “Manipulator inverse kinematic solutions based on vector formulations and damped least-squares methodsIEEE Transactions on Systems, Man, and Cybernetics 16, 93101 (1986).CrossRefGoogle Scholar
5.Balestrino, A., De Maria, G. and Sciavicco, L., “Robust control of robotic manipulatorsPreprints of the 9th IFAC World Congress, Budapest, H, 6 (07, 1984) pp. 8085.Google Scholar
6.Wolovich, W.A. and Elliott, H., “A computational technique for inverse kinematics” Proceedings of the 23rd IEEE Conference on Decision and Control,Las Vegas, NV(Dec, 1984) pp. 13591363.CrossRefGoogle Scholar
7.Chiacchio, P., Chiaverini, S., Sciavicco, L. and Siciliano, B., “Closed-loop inverse kinematics schemes for constrained redundant manipulators with task-space augmentation and task-priority strategyInt. J. Robotics Research 10, 410425 (1991).CrossRefGoogle Scholar
8.Wampler, C.W. and Leifer, L.J., “Applications of damped least-squares methods to resolved-rate and resolvedacceleration control of manipulatorsTransactions of the ASME J. Dynamic Systems, Measurements, and Control 110, 3138 (1988).CrossRefGoogle Scholar
9.Chiaverini, S., Siciliano, B. and Egeland, O., “Experimental results on controlling a 6-dof robot manipulator in the neighborhood of kinematic singularities” Preprints of the 3rd International Symposium ⊙n Experimental Robotics,Kyoto, Japan(Oct., 1993) pp. 3136.Google Scholar
10.Chiaverini, S., Siciliano, B. and Egeland, O., “Review of the damped least-squares inverse kinematics with experiments on an industrial robot manipulatorIEEE Transactions on Control Systems Technology, 2,2,123134 (1994).CrossRefGoogle Scholar
11. Direct Drive Manipulator Research and Development Package - User Guide, Integrated Motions Incorporated (1992).Google Scholar
12.Chiacchio, P. and Chiaverini, S., “Coping with joint velocity limits in first-order inverse kinematics algorithms” 4th International Workshop on Advances in Robot Kinematics, Ljubljana, SL (07, 1994), pp. 319328.Google Scholar