Controlled Motion of a Spherical Robot of Pendulum Type on an Inclined Plane


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This paper is concerned with a model of the controlled motion of a spherical robot with an axisymmetric pendulum actuator on an inclined plane. First integrals of motion and partial solutions are presented and their stability is analyzed. It is shown that the steady solutions exist only at an inclination angle less than some critical value and only for constant control action.

Sobre autores

T. Ivanova

Udmurt State University; Blagonravov Mechanical Engineering Research Institute, Russian Academy of Sciences

Autor responsável pela correspondência
Email: tbesp@rcd.ru
Rússia, ul. Universitetskaya 1, Izhevsk, 426034; ul. Bardina 4, Moscow, 117334

A. Kilin

Udmurt State University; Moscow Institute of Physics and Technology (State University)

Autor responsável pela correspondência
Email: aka@rcd.ru
Rússia, ul. Universitetskaya 1, Izhevsk, 426034; Institutskii per. 9, Dolgoprudnyi, Moscow region, 141701

E. Pivovarova

Udmurt State University; Blagonravov Mechanical Engineering Research Institute, Russian Academy of Sciences

Autor responsável pela correspondência
Email: archive@rcd.ru
Rússia, ul. Universitetskaya 1, Izhevsk, 426034; ul. Bardina 4, Moscow, 117334

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