This article is cited in 15 papers

Nonlinear Systems

Stabilizing the oscillations of a controlled mechanical system with $n$ degrees of freedom

V. N. Tkhai

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

Abstract: A mechanical system with n degrees of freedom subjected to the action of positional forces and a 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 illustrative example is given. In the previous paper [5], the universal control was designed for a two-dimensional manifold of the system.

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

Presented by the member of Editorial Board: L. B. Rapoport

Received: 14.10.2019
Revised: 14.01.2020
Accepted: 30.01.2020

DOI: 10.31857/S0005231020090044

 English version: Automation and Remote Control, 2020, 81:9, 1637–1646

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