Utilization of analytic programming for the evolutionary synthesis of the robust multi-chaotic controller for selected sets of discrete chaotic systems

Abstract

A novel tool for symbolic regression, analytical programming and its application for the synthesis of a new robust feedback control law are presented in this paper. This synthesized robust chaotic controller secures the fully stabilization of several selected sets containing one-dimensional, two-dimensional and evolutionary synthesized discrete chaotic systems. The paper consists of the descriptions of analytic programming as well as selected chaotic systems, used heuristic and cost function design. For experimentation, self-organizing migrating algorithm and differential evolution were used. © 2014 Springer-Verlag Berlin Heidelberg.