Determination of vertex polynomials to analyse robust stability of control systems with interval parameters; IET Control Theory & Applications; Vol. 14, iss. 18

Determination of vertex polynomials to analyse robust stability of control systems with interval parameters; IET Control Theory & Applications; Vol. 14, iss. 18

Podrobná bibliografie
Parent link:IET Control Theory & Applications
Vol. 14, iss. 18.— 2020.— [P. 2825-2835]
Korporativní autor: Национальный исследовательский Томский политехнический университет Инженерная школа информационных технологий и робототехники Отделение автоматизации и робототехники
Další autoři: Gaivoronsky (Gayvoronsky) S. A. Sergey Anatolievich, Ezangina T. A. Tatiana Aleksandrovna, Pushkarev M. I. Maksim Ivanovich, Khozhaev I. V. Ivan Valerievich
Shrnutí:Title screen
The study describes the application of the root locus theory for a system whose characteristic polynomial has interval coefficients. For the proposed system, an interval extension of the basic angular equation of the root locus is performed. Upon the conditions for defining the robust oscillatory stability degree through a complex pole of the system, the double interval angular inequations are obtained. These inequations specify the range of the exit angles going out of the poles for all edge branches of the root locus. On the basis of the exit angles of edge branches going out of the real pole, the condition for determining the robust aperiodic stability degree is obtained. Moreover, an algorithm for finding the validation vertices of the polyhedron of coefficients is developed and some sets of vertex polynomials for low?order systems are specified. The study also presents some numerical examples for analysing the robust stability degree in interval systems, which confirm our theoretical results. It is concluded that the determined validation vertices provide an optimal solution to the analysis of robust stability.
Режим доступа: по договору с организацией-держателем ресурса
Jazyk:angličtina
Vydáno: 2020
Témata:
электронный ресурс
труды учёных ТПУ
polynomials
control system synthesis
uncertain systems
stability
root loci
robust control
geometry
interval coefficients
interval extension
On-line přístup:https://doi.org/10.1049/iet-cta.2019.1222
Médium: Elektronický zdroj Kapitola
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=663384

Podobné jednotky

Podobné jednotky