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Эта публикация цитируется в 51 научных статьях (всего в 51 статьях)
Spherical Robot of Combined Type: Dynamics and Control
Alexander A. Kilina, Elena N. Pivovarovaa, Tatyana B. Ivanovab a Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
b M. T. Kalashnikov Izhevsk State Technical University, ul. Studencheskaya 7, Izhevsk, 426069 Russia
Аннотация:
This paper is concerned with free and controlled motions of a spherical robot of combined type moving by displacing the center of mass and by changing the internal gyrostatic momentum. Equations of motion for the nonholonomic model are obtained and their first integrals are found. Fixed points of the reduced system are found in the absence of control actions. It is shown that they correspond to the motion of the spherical robot in a straight line and in a circle. A control algorithm for the motion of the spherical robot along an arbitrary trajectory is presented. A set of elementary maneuvers (gaits) is obtained which allow one to transfer the spherical robot from any initial point to any end point.
Ключевые слова:
spherical robot, control, nonholonomic constraint, combined mechanism.
Поступила в редакцию: 17.09.2015 Принята в печать: 05.11.2015
Образец цитирования:
Alexander A. Kilin, Elena N. Pivovarova, Tatyana B. Ivanova, “Spherical Robot of Combined Type: Dynamics and Control”, Regul. Chaotic Dyn., 20:6 (2015), 716–728
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd40 https://www.mathnet.ru/rus/rcd/v20/i6/p716
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