Evolutionary and meta-evolutionary approach for the optimization of chaos control

Abstract

This paper deals with the optimization of control of Henon Map, which is a discrete chaotic system. This paper introduces and compares evolutionary approach representing tuning of parameters for an existing control method, as well as meta-evolutionary approach representing synthesis of whole control law by means of Analytic Programming (AP). These two approaches are used for the purpose of stabilization of the stable state and higher periodic orbits, which stand for oscillations between several values of chaotic system. For experimentation, Self-Organizing Migrating Algorithm (SOMA) and Differential Evolution (DE) were used.