Publication detail
Contribution to Stability Control of Nonlinear Systems
ŠVARC, I. MATOUŠEK, R.
Czech title
Příspěvek ke stabilitě nelineárních systémů
English title
Contribution to Stability Control of Nonlinear Systems
Type
journal article - other
Language
en
Original abstract
The most powerful methods of systems analysis have been developed for linear control systems. For a linear control system, all the relationships between the variables are linear differential equations, usually with constant coefficients. Actual control systems usually contain some nonlinear elements. In the following we show how the equations for nonlinear systems may be linearized. But the result is only applicable in a sufficiently small region in the neighbourhood of equilibrium point. The table in this paper includes the nonlinear equations and their the linear approximation. Then it is easy to find out if the nonlinear system is or is not stable; the task that usually ranks among the difficult tasks in engineering practice.
Czech abstract
Pro analýzu lineárních systémů bylo v minulosti vyvynuto mnoho efektivních metod. Reálné řídící systémy obvykle obsahují některé zdroje nelinearit. V příspěvku je prezentována možnost linearizace těchto typů nelinearit. Výsledky linearizace jsou pochopitelně aplikovatelné pouze v omezeném rozsahu kolem rovnovážného stavu. Výsledky návrhu jsou v článku zpracovány do tabulky tak aby byly prakticky rychle využitelné.
English abstract
The most powerful methods of systems analysis have been developed for linear control systems. For a linear control system, all the relationships between the variables are linear differential equations, usually with constant coefficients. Actual control systems usually contain some nonlinear elements. In the following we show how the equations for nonlinear systems may be linearized. But the result is only applicable in a sufficiently small region in the neighbourhood of equilibrium point. The table in this paper includes the nonlinear equations and their the linear approximation. Then it is easy to find out if the nonlinear system is or is not stable; the task that usually ranks among the difficult tasks in engineering practice.
Keywords in Czech
lineární systém, nelineární systém, linearizace
Keywords in English
linear system, non-linear system, linearization
RIV year
2012
Released
10.02.2012
Publisher
Trans Tech Publications
Location
Switzerland
ISSN
1022-6680
Volume
2012
Number
463-464
Pages from–to
1579–1582
Pages count
4
BIBTEX
@article{BUT90078,
author="Ivan {Švarc} and Radomil {Matoušek},
title="Contribution to Stability Control of Nonlinear Systems",
year="2012",
volume="2012",
number="463-464",
month="February",
pages="1579--1582",
publisher="Trans Tech Publications",
address="Switzerland",
issn="1022-6680"
}