Open AccessFirst integrals of the system “platform with pendulum” and controlling of it
Author(s) -
A. V. Bratishchev
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2131/2/022020
Subject(s) - horizontal plane , pendulum , plane (geometry) , inverted pendulum , control theory (sociology) , point (geometry) , movement (music) , double pendulum , vertical plane , mathematics , double inverted pendulum , control (management) , computer science , physics , geometry , nonlinear system , telecommunications , quantum mechanics , artificial intelligence , acoustics
The problem of controlling the movement of a movable platform with a hinged fixed pendulum is considered. This pair is interpreted as a system of stationary connected points one of which moves freely in a horizontal plane. In the first problem, a control is synthesized that ensures the movement of the platform in a limited area under any initial conditions. In the second problem, a control is synthesized that stabilizes the oscillations of the pendulum in a given fixed vertical plane relative to the suspension point. For the problem of control synthesis, the first integrals of a free system are found and used in the article.