Publication detail
A Note about Robust Stabilization of Chaotic Hénon System Using Grammatical Evolution
MATOUŠEK, R. DOBROVSKÝ, L. MINÁŘ, P. MOURALOVÁ, K.
Czech title
Poznámka k robustní stabilizaci chaotického Henonova systému s využitím gramatické evoluce.
English title
A Note about Robust Stabilization of Chaotic Hénon System Using Grammatical Evolution
Type
journal article in Scopus
Language
en
Original abstract
The paper deals with robust stabilization of a well-known deterministic discrete chaotic system denoted as Hénon map. By means of proper utilization of metaheuristic optimization tool, the Grammatical Evolution (GE) can synthesise a new robust control law. As a model of deterministic chaotic system the two-dimensional Hénon map with original definition was used. The Hénon map is an iterated discrete-time system which exhibits chaotic behaviour in two-dimension. Stabilization for the period-2 orbits of the two-dimensional Hénon map is presented. The chaotic system stabilization is based on a time-delay auto-synchronization with its own synthesized control law.
Czech abstract
Článek pojednává o nových možnostech stabilizace chaotockých systémů. Stabilizace je prezentována na modelu Hennonova systému. Je využito jak zavedeného disturbančního principu ETDAS, tak vlastní hybridní koncepce ve formě kompenzující sekvence navržené pomocí GE a HC12.
English abstract
The paper deals with robust stabilization of a well-known deterministic discrete chaotic system denoted as Hénon map. By means of proper utilization of metaheuristic optimization tool, the Grammatical Evolution (GE) can synthesise a new robust control law. As a model of deterministic chaotic system the two-dimensional Hénon map with original definition was used. The Hénon map is an iterated discrete-time system which exhibits chaotic behaviour in two-dimension. Stabilization for the period-2 orbits of the two-dimensional Hénon map is presented. The chaotic system stabilization is based on a time-delay auto-synchronization with its own synthesized control law.
Keywords in Czech
zpožďované zpětnovazebné řízení, ETDAS, TDAS, Henonova rovnice, gramatická evoluce, HC12, optimalizace
Keywords in English
Delayed feedback control; Deterministic chaos; ETDAS; Grammatical evolution; HC12; Hennon equation; Metaheuristic optimization; TDAS
RIV year
2014
Released
01.06.2014
Publisher
Springer
Location
Germany
ISSN
2194-5357
Volume
2014
Number
289
Pages from–to
219–228
Pages count
10
BIBTEX
@article{BUT114129,
author="Radomil {Matoušek} and Ladislav {Dobrovský} and Petr {Minář} and Kateřina {Mouralová},
title="A Note about Robust Stabilization of Chaotic Hénon System Using Grammatical Evolution",
year="2014",
volume="2014",
number="289",
month="June",
pages="219--228",
publisher="Springer",
address="Germany",
issn="2194-5357"
}