About: Sum-of-Squares Based Observer Design Using Lyapunov Functions of Order Higher than Two

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	A simple method for designing an observer for a polynomial system is described here. The method is based on the use of the sum of squares to ensure stability of the observer. The main idea is to design a Lyapunov function so that its derivative along trajectories is a polynomial that can be expressed as a sum of squares of polynomials multiplied by a negative constant. The described method allows to use nonquadratic terms in the Lyapunov function that is crucial for the design of the observer. The in°uence of these nonquadratic terms is the subject of investigation. The results are illustrated by simulation results. A simple method for designing an observer for a polynomial system is described here. The method is based on the use of the sum of squares to ensure stability of the observer. The main idea is to design a Lyapunov function so that its derivative along trajectories is a polynomial that can be expressed as a sum of squares of polynomials multiplied by a negative constant. The described method allows to use nonquadratic terms in the Lyapunov function that is crucial for the design of the observer. The in°uence of these nonquadratic terms is the subject of investigation. The results are illustrated by simulation results. (en)
Title	Sum-of-Squares Based Observer Design Using Lyapunov Functions of Order Higher than Two Sum-of-Squares Based Observer Design Using Lyapunov Functions of Order Higher than Two (en)
skos:prefLabel	Sum-of-Squares Based Observer Design Using Lyapunov Functions of Order Higher than Two Sum-of-Squares Based Observer Design Using Lyapunov Functions of Order Higher than Two (en)
skos:notation	RIV/67985556:_____/12:00382354!RIV13-MSM-67985556
http://linked.open...avai/predkladatel	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(LG12008)
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Rehák, Branislav
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	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	172442
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/12:00382354
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Observer; sum-of-squares; Lyapunov function (en)
http://linked.open.../riv/klicoveSlovo	Lyapunov function Observer sum-of-squares
http://linked.open...ontrolniKodProRIV	[B94E960C84A7]
http://linked.open...v/mistoKonaniAkce	Lima
http://linked.open...i/riv/mistoVydani	Lima
http://linked.open...i/riv/nazevZdroje	Memoria XV Congreso Latinoamericano de Control Automático CLCA 2012 Proceedings
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...vavai/riv/projekt	IFAC - Activities in the Technical Committee on Non-linear Control Systems
http://linked.open...UplatneniVysledku	2012
http://linked.open...iv/tvurceVysledku	Rehák, Branislav
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2012-10-23 (xsd:date)
number of pages	6 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Tarea Asociación Gráfica Educativa, Lima, Peru
https://schema.org/isbn	978-612-4057-71-7
is http://linked.open...avai/riv/vysledek of	Sum-of-Squares Based Observer Design Using Lyapunov Functions of Order Higher than Two

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