Evolutionary synthesis of control rules by means of analytic programming for the purpose of high order oscillations stabilization of evolutionary synthesized chaotic system

Abstract

In this paper, it is presented a utilization of tool for symbolic regression, which is analytic programming, for the purpose of the synthesis of a new control law. This synthesized chaotic controller secures the stabilization of high periodic orbit oscillations between several values of selected one-dimensional discrete chaotic system, which is artificially evolutionary synthesized system. The paper consists of the descriptions of analytic programming as well as chaotic system, used evolutionary techniques and the cost function. For experimentation, Self-Organizing Migrating Algorithm (SOMA) and Differential evolution (DE) were used.