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The International Journal of Robotics Research
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Optimal Redundancy Control of Robot Manipulators

Yoshihiko Nakamura

Automation Research Laboratory Kyoto University Uji, Kyoto 611 Japan

Hideo Hanafusa

Department of Mechanical Engineering Faculty of Science and Engineering Ritsumeikan University Kitaku, Kyoto 603 Japan

This paper discusses the optimal redundancy control problem of robot manipulators. The redundancy control problem has mostly been discussed in the framework of instantaneously optimal control. In this paper, the globally optimal redun dancy control problem is solved strictly by using Pontryagin's maximum principle. According to the proposed method, the optimal trajectory is necessarily obtained if it evists. If only kinematics is considered, the optimal problem is reduced to minimal value searching in a space of as many dimensions as the degrees of redundancy. If dynamics is also taken into consideration, the optimal problem is reduced to minimum value searching in a space of twice as many dimensions as the degrees of redundancy.

The International Journal of Robotics Research, Vol. 6, No. 1, 32-42 (1987)
DOI: 10.1177/027836498700600103


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