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Journal of Computer and Systems Sciences International
Erschienen in: Journal of Computer and Systems Sciences International 6/2020

01.11.2020 | SYSTEMS THEORY AND GENERAL CONTROL THEORY

Method for Forming Autorotations in Controllable Mechanical System with Two Degrees of Freedom

verfasst von: L. A. Klimina

Erschienen in: Journal of Computer and Systems Sciences International | Ausgabe 6/2020

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Abstract

An autonomous mechanical system with two rotational degrees of freedom, undergoing the action of conservative and nonconservative forces, is considered. The corresponding dynamical system contains changeable parameters that can be treated as amplifying coefficients for control actions. It is required to select the values of these parameters in order to form an autorotation mode in the system that possesses the prescribed properties. We propose an iterative search method for the corresponding values of the parameters. This approach is a modification of the Andronov–Pontryagin method and, unlike the latter, it does not assume that there is a small parameter in the system. We provide an example of the application of the proposed method to a model of a wind turbine: the value of the parameter, ensuring the existence of a mode with a high value of the mechanical power trapped from the flow, is selected. In the dynamical system, an attractor that is a trajectory close to a periodic one corresponds to this mode.
Nächster Artikel Stability of an Interval Family of Differential-Algebraic Equations

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Metadaten
Titel
Method for Forming Autorotations in Controllable Mechanical System with Two Degrees of Freedom
verfasst von
L. A. Klimina
Publikationsdatum
01.11.2020
Verlag
Pleiades Publishing
Erschienen in
Journal of Computer and Systems Sciences International / Ausgabe 6/2020
Print ISSN: 1064-2307
Elektronische ISSN: 1555-6530
DOI
https://doi.org/10.1134/S1064230720060064

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