Estimation of stability of oscillations of linear time-varying systems with one time-varying parameter with calculation of influence of higher frequency motions
- Authors: Mandrik A.V.1
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Affiliations:
- Peter the Great Saint-Petersburg Polytechnic University
- Issue: Vol 51, No 3 (2017)
- Pages: 141-148
- Section: Article
- URL: https://journals.rcsi.science/0146-4116/article/view/174881
- DOI: https://doi.org/10.3103/S0146411617030075
- ID: 174881
Cite item
Abstract
The paper reveals a new method for estimation of stability of oscillations of linear time invariant systems with one time-varying parameter given by a harmonic function. The suggested approach includes building a matrix of transfer functions, which calculates interference of the highfrequency oscillations of the output of the linear time-invariant part of the system. Suggested approach makes possible to build equivalent of the Nyquist criterion for linear systems with a single time-varying parameter. The application of the suggested approach is shown by numerical examples. Results of the present article may be used for control systems of cranes and other lifting mechanisms.
About the authors
A. V. Mandrik
Peter the Great Saint-Petersburg Polytechnic University
Author for correspondence.
Email: lasthero1987@mail.ru
Russian Federation, St. Petersburg, 195251
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