Chaos Enhanced Differential Evolution in the Task of Evolutionary Control of Selected Set of Discrete Chaotic Systems

Evolutionary technique differential evolution (DE) is used for the evolutionary tuning of controller parameters for the stabilization of set of different chaotic systems. The novelty of the approach is that the selected controlled discrete dissipative chaotic system is used also as the chaotic pseud...

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Main Authors: Roman Senkerik, Ivan Zelinka, Michal Pluhacek, Donald Davendra, Zuzana Oplatková Kominkova
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/836484
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author Roman Senkerik
Ivan Zelinka
Michal Pluhacek
Donald Davendra
Zuzana Oplatková Kominkova
author_facet Roman Senkerik
Ivan Zelinka
Michal Pluhacek
Donald Davendra
Zuzana Oplatková Kominkova
author_sort Roman Senkerik
collection DOAJ
description Evolutionary technique differential evolution (DE) is used for the evolutionary tuning of controller parameters for the stabilization of set of different chaotic systems. The novelty of the approach is that the selected controlled discrete dissipative chaotic system is used also as the chaotic pseudorandom number generator to drive the mutation and crossover process in the DE. The idea was to utilize the hidden chaotic dynamics in pseudorandom sequences given by chaotic map to help differential evolution algorithm search for the best controller settings for the very same chaotic system. The optimizations were performed for three different chaotic systems, two types of case studies and developed cost functions.
format Article
id doaj-art-07cc2e7383334733a40c85e8844040fe
institution Kabale University
issn 2356-6140
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-07cc2e7383334733a40c85e8844040fe2025-02-03T06:44:39ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/836484836484Chaos Enhanced Differential Evolution in the Task of Evolutionary Control of Selected Set of Discrete Chaotic SystemsRoman Senkerik0Ivan Zelinka1Michal Pluhacek2Donald Davendra3Zuzana Oplatková Kominkova4Faculty of Applied Informatics, Tomas Bata University in Zlin, Náměstí T.G. Masaryka 5555, 760 01 Zlin, Czech RepublicFaculty of Electrical Engineering and Computer Science, VŠB-Technical University of Ostrava, 17 Listopadu 15, Poruba, 708 33 Ostrava, Czech RepublicFaculty of Applied Informatics, Tomas Bata University in Zlin, Náměstí T.G. Masaryka 5555, 760 01 Zlin, Czech RepublicFaculty of Electrical Engineering and Computer Science, VŠB-Technical University of Ostrava, 17 Listopadu 15, Poruba, 708 33 Ostrava, Czech RepublicFaculty of Applied Informatics, Tomas Bata University in Zlin, Náměstí T.G. Masaryka 5555, 760 01 Zlin, Czech RepublicEvolutionary technique differential evolution (DE) is used for the evolutionary tuning of controller parameters for the stabilization of set of different chaotic systems. The novelty of the approach is that the selected controlled discrete dissipative chaotic system is used also as the chaotic pseudorandom number generator to drive the mutation and crossover process in the DE. The idea was to utilize the hidden chaotic dynamics in pseudorandom sequences given by chaotic map to help differential evolution algorithm search for the best controller settings for the very same chaotic system. The optimizations were performed for three different chaotic systems, two types of case studies and developed cost functions.http://dx.doi.org/10.1155/2014/836484
spellingShingle Roman Senkerik
Ivan Zelinka
Michal Pluhacek
Donald Davendra
Zuzana Oplatková Kominkova
Chaos Enhanced Differential Evolution in the Task of Evolutionary Control of Selected Set of Discrete Chaotic Systems
The Scientific World Journal
title Chaos Enhanced Differential Evolution in the Task of Evolutionary Control of Selected Set of Discrete Chaotic Systems
title_full Chaos Enhanced Differential Evolution in the Task of Evolutionary Control of Selected Set of Discrete Chaotic Systems
title_fullStr Chaos Enhanced Differential Evolution in the Task of Evolutionary Control of Selected Set of Discrete Chaotic Systems
title_full_unstemmed Chaos Enhanced Differential Evolution in the Task of Evolutionary Control of Selected Set of Discrete Chaotic Systems
title_short Chaos Enhanced Differential Evolution in the Task of Evolutionary Control of Selected Set of Discrete Chaotic Systems
title_sort chaos enhanced differential evolution in the task of evolutionary control of selected set of discrete chaotic systems
url http://dx.doi.org/10.1155/2014/836484
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