On the observer design problem for continuous-time switched linear systems with unknown switchings

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00442959" target="_blank" >RIV/67985556:_____/15:00442959 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.jfranklin.2015.01.036" target="_blank" >http://dx.doi.org/10.1016/j.jfranklin.2015.01.036</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jfranklin.2015.01.036" target="_blank" >10.1016/j.jfranklin.2015.01.036</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the observer design problem for continuous-time switched linear systems with unknown switchings

Popis výsledku v původním jazyce

The observer design problém for Switched Linear Systems(SLS) subject to an unknown switching signal is addressed in this work. Based on known observability results for SLS, an appropriate SLS observer is proposed and its convergence is analysed showing that the corresponding estimates converge in finite-time to the SLS state. More precisely, the observers of the continuous state evolution and the observers of the switching signal are investigated and their convergence studied separately. Thema in tool to analyse the observability is the well-known geometric concep tof(A, B)-invariant subspaces.The developed SLS observers are then applied to construct synchronized chaotic generators based on the SLS with chaotic behavior. Finally, an example of an on-trivial chaotic SLS and its detailed analysis are presented to illustrate the achievedresults.

Název v anglickém jazyce

On the observer design problem for continuous-time switched linear systems with unknown switchings

Popis výsledku anglicky

The observer design problém for Switched Linear Systems(SLS) subject to an unknown switching signal is addressed in this work. Based on known observability results for SLS, an appropriate SLS observer is proposed and its convergence is analysed showing that the corresponding estimates converge in finite-time to the SLS state. More precisely, the observers of the continuous state evolution and the observers of the switching signal are investigated and their convergence studied separately. Thema in tool to analyse the observability is the well-known geometric concep tof(A, B)-invariant subspaces.The developed SLS observers are then applied to construct synchronized chaotic generators based on the SLS with chaotic behavior. Finally, an example of an on-trivial chaotic SLS and its detailed analysis are presented to illustrate the achievedresults.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BC - Teorie a systémy řízení

OECD FORD obor

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Projekt

<a href="/cs/project/GA13-20433S" target="_blank" >GA13-20433S: Analýza a řízení globálně dekomponovaných silně nelineárních stavových dynamických modelů se složitými interakcemi jejich komponent</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of the Franklin Institute-Engineering and Applied Mathematics

ISSN

0016-0032

e-ISSN

—

Svazek periodika

352

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

8

Strana od-do

1595-1612

Kód UT WoS článku

000353084900014

EID výsledku v databázi Scopus

2-s2.0-84933280555