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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
Design Of Targeting Cost Function For Evolutionary Optimization Of Chaos
Control |
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Authors: |
Roman Senkerik, Ivan Zelinka, Eduard Navratil |
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Published in:
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ECMS
2007 Proceedings Edited
by: Ivan Zelinka, Zuzana Oplatkova, Alessandra Orsoni ISBN:
978-0-9553018-2-7 Doi: 10.7148/2007 21st European
Conference on Modelling and Simulation, Prague, June
4-6, 2007 |
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Citation
format: |
Senkerik, R., Zelinka,
I., & Navratil, E. (2007). Design Of Targeting
Cost Function For Evolutionary Optimization Of Chaos Control. ECMS 2007
Proceedings edited by: I. Zelinka, Z. Oplatkova, A. Orsoni
(pp. 345-350). European Council for Modeling and Simulation. doi:10.7148/2007-0345. |
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DOI: |
http://dx.doi.org/10.7148/2007-0345 |
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Abstract: |
This contribution deals with
optimization of the control of chaos by means of evolutionary algorithms. The
main aim of this work is to show that evolutionary algorithms are capable of
optimization of chaos control and to show several methods of constructing the
complex targeting cost function leading to satisfactory results. As a model
of deterministic chaotic system the two dimensional Henon map was used. The optimizations were realized in
several ways, each one for another cost function or another desired periodic
orbit. The evolutionary algorithm Self-Organizing Migrating Algorithm (SOMA)
was used in four versions. For each version, simulations were repeated
several times to show and check robustness of used method and cost function.
At the end of this work the results of optimized chaos control for each
designed targeting cost function are compared. |
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