Investigation on evolutionary chaos controller synthesis for Henon map stabilization

Abstract

This research deals with the synthesis of control law by means of Analytic Programming (AP) for the Henon Map, which is discrete chaotic system. The tool for symbolic regression (AP) is used for the purpose of stabilization of stable state and higher periodic orbits, which represent oscillations between several values of chaotic system. For experimentation, Self-Organizing Migrating Algorithm (SOMA) with AP and Differential Evolution (DE) as the second algorithm for meta-evolution were used.