2011; Physical and Mathematical Sciences, 45(3 (226): 31–39
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ON THE OPTIMAL STABILIZATION OF A DOUBLE MATHEMATICAL PENDULUM HAVING A MOVABLE SUSPENSION CENTER

Smbat Shahinyan*

Received: 2025-02-19 · Published: 2011-10-17

© 2011 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
ON THE OPTIMAL STABILIZATION OF A DOUBLE MATHEMATICAL PENDULUM HAVING A MOVABLE SUSPENSION CENTER
Author
Smbat Shahinyan
Published
2011-10-17
Licence
Creative Commons Attribution 4.0 International

Abstract

The problem of optimal stabilizatioin of a double pendulum, when its suspension center moved in the horizontal direction according to the given law, has been treated. The problem was reduced to the case of a linear nonuniform system that was solved in the event when the first and the second pendulums had equal masses and lengths. An optimal Lyapunov function and an optimal control action have been constructed.
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