Stabilization of linear systems with variable parameters

Authors

  • V.K. Antonov

DOI:

https://doi.org/10.18372/2073-4751.72.17456

Keywords:

system with variable parameters, stabilization, comparison method

Abstract

An algorithm for calculating stabilizing controls for linear systems with variable parameters is proposed. The output system is written in general vector form. A comparison system and a comparison function are set for it. The comparison function contains the sum of two quadratic forms – the quadratic form for the phase coordinates and the quadratic form for the derivatives of the phase coordinates. The comparison system is constructed as a differential equation that provides exponential decay of the comparison function. Elementary calculations yield a differential equation for calculation in control time. The algorithm can be used for calculations in real time and in the mode of preliminary synthesis of the automatic stabilization system. The algorithm is easy to program.

References

Сильвєстров А.М. Системи автоматичного керування технологічними комплексами. Навчальний посібник. – К.: КПІ ім. Сікорського, 2022. – 466 с.

Резнікова Н.Б. Теорія автоматичного керування: класика і сучасність: підр. – К.: НТУУ «КПІ», 2011. – 328 с.

Островерхов М.Я., Сильвєстров А.М., Зеленський К.Х. Методи дослідження електротехнічних систем і комплексів. – ТАЛКОМ, 2019. – 300 с.

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Published

2022-12-15

How to Cite

Antonov, V. (2022). Stabilization of linear systems with variable parameters. Problems of Informatization and Control, 4(72), 13–16. https://doi.org/10.18372/2073-4751.72.17456

Issue

Vol. 4 No. 72 (2022)

Section

Статті

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