About: Stability analysis of nonlinear control systems using linearization

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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 elements may be linearized. But the result is applicable only in a small enough region. When all the roots of the characteristic equation are located in the left half-plane, the system is stable. However that linearization fails when Re si ˇÜ 0 for all i, with Re si = 0 for some i. The table 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 task in engineering practice. 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 elements may be linearized. But the result is applicable only in a small enough region. When all the roots of the characteristic equation are located in the left half-plane, the system is stable. However that linearization fails when Re si ˇÜ 0 for all i, with Re si = 0 for some i. The table 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 task in engineering practice. (en)
Title	Stability analysis of nonlinear control systems using linearization Stability analysis of nonlinear control systems using linearization (en)
skos:prefLabel	Stability analysis of nonlinear control systems using linearization Stability analysis of nonlinear control systems using linearization (en)
skos:notation	RIV/00216305:26210/04:PU46812!RIV11-MSM-26210___
http://linked.open...avai/riv/aktivita	V Z
http://linked.open...avai/riv/aktivity	V, Z(MSM 260000013)
http://linked.open...vai/riv/dodaniDat	2011
http://linked.open...aciTvurceVysledku	Švarc, Ivan
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoké učení technické v Brně / Fakulta strojního inženýrství
http://linked.open...dnocenehoVysledku	587690
http://linked.open...ai/riv/idVysledku	RIV/00216305:26210/04:PU46812
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	linearization, nonlinear system, equilibrium points, phase-plane trajectory (en)
http://linked.open.../riv/klicoveSlovo	linearization equilibrium points phase-plane trajectory nonlinear system
http://linked.open...ontrolniKodProRIV	[DC62B209B4F5]
http://linked.open...v/mistoKonaniAkce	Zakopane
http://linked.open...i/riv/mistoVydani	Zakopane
http://linked.open...i/riv/nazevZdroje	Proceedings of 5th International Carpathian Control Conference
http://linked.open...in/vavai/riv/obor	BC
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2004
http://linked.open...iv/tvurceVysledku	Švarc, Ivan
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2004-05-25 (xsd:date)
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20260000013
number of pages	5 (xsd:int)
http://purl.org/ne...btex#hasPublisher	DELTA
https://schema.org/isbn	83-89772-00-0
http://localhost/t...ganizacniJednotka	26210

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