ANALYSIS OF CONTROL OF DYNAMIC SYSTEMS BASED ON INTERVAL MATHEMATICS

Authors

  • Sh.A. Dzhomartov

Keywords:

interval vector, proposed criterion, system, constraint, interval analysis, interval mathematics

Abstract

The results can be used to solve practical problems of optimal control of systems described by ordinary differential equations with fixed ends and constraints on control actions. In particular, equations of the form can describe robotic or electric power systems, where the coefficients of the matrix and the vector are determined through parameters (such as weight, metric characteristics, inertia, etc.), which are usually calculated with some error.

References

Ройтенберг Я.Н. Автоматическое управление. – М.: Наука, 1971.

Шокин Ю.И. Интервальный анализ. – Новосибирск: Наука, 1986.

Джомартова Ш.А. «Практические» интервальные вычисления // Вестник НАН РК. – 2002. – №2. – С.41-46.

Колмановский В.Б., Носов В.Р. Устойчивость и периодические режимы регулируемых систем с последействием. – М.: Наука, 1981.

Черноруцкий Г.С., Сибрин А.П., Жабреев В.С. Следящие системы автоматических манипуляторов. – М.: Наука, 1987.

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Published

2022-07-04

Issue

Vol. 1 No. 1-2 (2010): Automation and control problems

Section

ANALYSIS AND SYNTHESIS OF CONTROL SYSTEMS

License

Copyright (c) 2021 Automation and control problems

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