Analytic programming in the task of evolutionary synthesis of a controller for high order oscillations stabilization of discrete chaotic systems

This paper deals with the utilization of a symbolic regression tool, which is Analytic Programming (AP), together with two evolutionary algorithms, the Self-Organizing Migrating Algorithm (SOMA) and Differential Evolution (DE), for the synthesis of a new control law. This synthesized chaotic control...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2013-08, Vol.66 (2), p.177-189
Main Authors: Kominkova Oplatkova, Zuzana, Senkerik, Roman, Zelinka, Ivan, Pluhacek, Michal
Format: Article
Language:English
Subjects:
Analytic programming
Chaos control
Chaos theory
Differential evolution
SOMA
Symbolic regression
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Summary:This paper deals with the utilization of a symbolic regression tool, which is Analytic Programming (AP), together with two evolutionary algorithms, the Self-Organizing Migrating Algorithm (SOMA) and Differential Evolution (DE), for the synthesis of a new control law. This synthesized chaotic controller secures the stabilization of higher periodic orbits, which represent oscillations between several values of three selected discrete chaotic systems. Selected examples were: an artificially evolutionary synthesized system, logistic equation and Hénon map. The paper consists of the description of analytic programming as well as chaotic systems used, evolutionary techniques and the cost function.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2013.02.008