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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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 1537-744X |
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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