Reorientation of a Rigid Body Controlled by a Movable Internal Mass
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The problem of controlling the orientation of a rigid body using a movable internal mass is studied. A method for calculating the motion of a point mass relative to the rigid body under which the body acquires a desired attitude in space is proposed. The reorientation maneuver consists of three planar turns about the principal central axes of inertia of the body. Finding the required planar turns is based on solving the corresponding optimal control problems.
This work was supported by the Russian Science Foundation, project no. 18-11-00307.
- 1.F. Schmoeckel and H. Worn, “Remotely controllable mobile microrobots acting as nano positioners and intelligent tweezers in scanning electron microscopes (SEMs),” in Proceedings of the IEEE International Conference on Robotics and Automation (IEEE, New York, 2001), pp. 3903–3913.Google Scholar
- 3.V. Gradetsky, V. Solovtsov, M. Kniazkov, G. G. Rizzoto, and P. Amato, “Modular design of electro-magnetic mechatronics microrobots,” in Proceedings of the 6th International Conference on Climbing and Walking Robots CLAWAR, 2003, pp. 651–658.Google Scholar
- 4.F. L. Chernous’ko, “Optimal motion control for a two-mass system,” Dokl. Akad. Nauk 480, 528–532 (2018).Google Scholar
- 5.A. M. Shmatkov, “Time-optimal rotation of the rigid body by a mass point,” Dokl. Akad. Nauk 481, 498–502 (2018).Google Scholar
- 6.A. Yu. Ishlinskii, Orientation, Gyroscopes, and Inertial Navigation (Nauka, Moscow, 1976) [in Russian].Google Scholar
- 7.L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical Theory of Optimal Processes (Wiley Interscience, New York, 1962; Nauka, Moscow, 1983).Google Scholar