Complex Systems

Evolutionary Chaos Controller Synthesis for Stabilizing Chaotic Hénon Maps Download PDF

Roman Senkerik
Zuzana Oplatkova
Tomas Bata University in Zlin
Faculty of Applied Informatics
Nam T.G. Masaryka 5555, 760 01 Zlin, Czech Republic

Ivan Zelinka
Donald Davendra
Technical University of Ostrava
Faculty of Electrical Engineering and Computer Science
17. listopadu 15, 708 33 Ostrava-Poruba, Czech Republic

Abstract

This paper deals with synthesizing control laws by means of analytic programming (AP) for the Hénon map, which is a discrete chaotic system. The tool for symbolic regression is used for stabilizing the stable state and higher periodic orbits, which represent oscillations between several values of a chaotic system. For experimentation, the self-organizing migrating algorithm (SOMA) is used with AP and differential evolution (DE) is used as the second algorithm for meta-evolution.