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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
Evolutionary
Optimization Of Chaos Control - A New Approach |
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Authors: |
Roman Senkerik, Ivan Zelinka |
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Published in:
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ECMS
2008 Proceedings Edited
by: Loucas
S. Louca, Yiorgos Chrysanthou, Zuzana Oplatkova, Khalid Al-Begain ISBN:
978-0-9553018-6-5 Doi:
10.7148/2008 22nd
European Conference on Modelling and Simulation, Nicosia, June
3-6, 2008 |
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Citation
format: |
Senkerik, R., & Zelinka, I.
(2008). Evolutionary Optimization Of Chaos Control - A New Approach. ECMS
2008 Proceedings edited by: L. S. Louca, Y. Chrysanthou, Z. Oplatkova, K. Al-Begain (pp. 218-223). European Council for Modeling
and Simulation. doi:10.7148/2008-0218 |
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DOI: |
http://dx.doi.org/10.7148/2008-0218 |
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Abstract: |
This research 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
the optimization of chaos control and to show a new approach of solving this
problem and constructing new cost functions operating in “blackbox mode”
without previous exact mathematical analysis of the system, thus without
knowledge of stabilizing target state. As a model of deterministic chaotic
system, the two dimensional Henon map was used. The optimizations
was realized in several ways, each one for another desired periodic
orbit. The evolutionary algorithm Self-Organizing Migrating Algorithm (SOMA)
was used in four versions. For each version, repeated simulations were
conducted to outline the effectiveness and robustness of used method and cost
function. |
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