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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Rus. J. Nonlin. Dyn., 2024 Volume 20, Number 5, Pages 845–858 (Mi nd926)

This article is cited in 1 paper

NONLINEAR SYSTEMS IN ROBOTICS

Stabilization of a Spherical Robot with an Internal Pendulum During Motion on an Oscillating Base

A. V. Klekovkina, Yu. L. Karavaeva, A. V. Nazarovb

a Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034 Russia
b Kalashnikov Izhevsk State Technical University, ul. Studencheskaya 7, Izhevsk, 426069 Russia

Abstract: This paper is concerned with the experimental development of the stabilizing regulator for a spherical pendulum-type robot moving on an oscillating base. Using a mathematical model of the motion of the spherical robot with an internal pendulum mechanism, a regulator stabilizing the lower position of the pendulum is developed. The developed regulator has been tested in practice by means of a real prototype of the spherical robot. The results of real experiments are presented to assess the stabilization of the lower position of the pendulum of the spherical robot during its motion along a straight line on a plane executing longitudinal oscillations, and during the stabilization of the lower position of the pendulum, when the spherical shell remains fixed relative to the plane.

Keywords: spherical robot, stabilization, rolling motion, vibrations

MSC: 70E60; 74H45; 70-05; 70Q05

Received: 03.10.2024
Accepted: 16.12.2024

Language: English

DOI: 10.20537/nd241213



© Steklov Math. Inst. of RAS, 2026