Analytic Programming – a Novel Tool for Synthesis of Controller for Chaotic Lozi Map

Author:

Senkerik Roman1,Kominkova Oplatkova Zuzana1,Pluhacek Michal1

Affiliation:

1. Faculty of Applied Informatics Tomas Bata University in Zlin T.G. Masaryka 5555, 760 01 Zlin, Czech Republi

Abstract

In this paper, it is presented a utilization of a novel tool for symbolic regression, which is analytic programming, for the purpose of the synthesis of a new feedback control law. This new synthesized chaotic controller secures the fully stabilization of selected discrete chaotic systems, which is the two-dimensional Lozi map. The paper consists of the descriptions of analytic programming as well as selected chaotic system, used heuristic and cost function design. For experimentation, Self-Organizing Migrating Algorithm (SOMA) and Differential evolution (DE) were used. Two selected experiments are detailed described.

Publisher

North Atlantic University Union (NAUN)

Subject

Literature and Literary Theory,History,Cultural Studies

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