RESEARCH OF UNCERTAIN DYNAMIC SYSTEMS OF THE THIRD ORDER BASED ON THE ROOT LOCUS PORTRAITS
Abstract
The problem of stability of uncertain interval dynamic systems of the third order is considered. Properties and regularities of the system root locus portrait parameter function behavior at the system stability bound have been discovered, the dependency of the portrait configuration from the values of variable parameters has been shown. The root locus and algebraic stability conditions have been for-mulated. On this basis the algorithm for parametric synthesis of interval systems has been worked out, which allows to calculate the system parameters ensuring its robust stability.
About the Author
A. A. Nesenchuk
Объединенный институт проблем информатики НАН Беларуси
Russian Federation
Russian Federation
References
1. Дорф, Р. Современные системы управления / Р. Дорф, Р. Бишоп. – М. : Лаборатория базовых знаний, 2009. – 832 с.
2. Римский, Г.В. Автоматизация исследований динамических систем / Г.В. Римский, В.В. Таборовец. – Минск : Наука и техника, 1978. – 336 с.
3. Несенчук, А.А. Анализ и синтез робастных динамических систем на основе корневого подхода / А.А. Несенчук. – Минск : ОИПИ НАН Беларуси, 2005. – 234 с.
4. Anderson, B.D.O. On robust Hurwitz polynomials / B.D.O. Anderson, E. Jury, M. Mansour // IEEE Trans. on Automatic Control. – 1987. – Vol. AC–32, no. 8. – P. 909–913.
5. Несенчук, А.А. Размещение корней динамической системы в областях произвольной формы / А.А. Несенчук // Доклады НАН Беларуси. – 2008. – Т. 52, № 5. – С. 31–35.
Review
For citations:
Nesenchuk A.A. RESEARCH OF UNCERTAIN DYNAMIC SYSTEMS OF THE THIRD ORDER BASED ON THE ROOT LOCUS PORTRAITS. Informatics. 2014;(3):96-106. (In Russ.)
Views: 713
Email this article 