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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025 Number 5, Pages 37–44 (Mi vmumm4717)

Mechanics

Application of the optimal swinging method for a six-legged robot's getting out from the upside-down position

Yu. F. Golubevab, V. V. Koryanovb, E. V. Melkumovaa

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow

Abstract: To solve the problem of rescuing a multi-legged robot from an emergency “upside-down” position, an original method was used to find optimal control of the oscillation amplitude in the vicinity of the equilibrium position for a scleronomic mechanical system with an underactuated one oscillatory degree of freedom. The control is realized by changing relative to the body of the robot the position of a specially selected group of legs. The effectiveness of the developed control algorithm is confirmed by the results of computer simulation of the full dynamics of the robot.

Key words: mechanical system, oscillations, amplitude, control, optimization, friction.

UDC: 531.38

Received: 11.09.2024

DOI: 10.55959/MSU0579-9368-1-66-5-6


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2025, 80:5, 195–202


© Steklov Math. Inst. of RAS, 2026