This article is cited in 21 papers

Nonlinear Systems

Stabilizing the oscillations of a controlled mechanical system

V. N. Tkhai

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: A mechanical system subjected to the action of positional forces and small smooth control is considered. It is assumed that in the absence of control, the system may have a family of single-frequency oscillations. A universal control — a nonlinear force that implements and simultaneously stabilizes a cycle in the system — is found. An example is given.

Keywords: mechanical system, universal small smooth control, natural stabilization.


Received: 05.11.2018
Revised: 14.04.2019
Accepted: 25.04.2019

DOI: 10.1134/S0005231019110047

 English version: Automation and Remote Control, 2019, 80:11, 1996–2004

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