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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
Evolutionary Synthesis Of Control Law For Higher Periodic Orbits Of
Chaotic Logistic Equation |
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Authors: |
Roman Senkerik, Zuzana Oplatková, Ivan Zelinka, Roman Jasek |
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Published in:
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(2011).ECMS
2011 Proceedings edited by: T. Burczynski, J. Kolodziej, A. Byrski, M. Carvalho. European Council for Modeling and Simulation. doi:10.7148/2011 ISBN:
978-0-9564944-2-9 25th
European Conference on Modelling and Simulation, Jubilee Conference Krakow,
June 7-10, 2011
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Citation
format: |
Senkerik, R., Oplatkova,
Z., Zelinka, I., & Jasek,
R. (2011). Evolutionary Synthesis Of Control Law For Higher Periodic Orbits
Of Chaotic Logistic Equation. ECMS 2011 Proceedings edited by: T. Burczynski, J. Kolodziej, A. Byrski, M. Carvalho
(pp. 452-458). European Council for Modeling and Simulation. doi:10.7148/2011-0452-0458 |
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DOI: |
http://dx.doi.org/10.7148/2011-0452-0458 |
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Abstract: |
This research deals with a
synthesis of control law for selected discrete chaotic system by means of
analytic programming. The novelty of the approach is that a tool for symbolic
regression – analytic programming - is used for the purpose of stabilization
of higher periodic orbits – oscillations between several values of chaotic
system. The paper consists of the descriptions of analytic programming as
well as chaotic system and used blackbox type cost
function. For experimentation, Self-Organizing Migrating Algorithm (SOMA)
with analytic programming and Differential evolution (DE) as second algorithm
for meta-evolution were used. |
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