Open AccessAnalytic Programming – a Novel Tool for Synthesis of Controller for Chaotic Lozi Map
Author(s) -
Roman Šenkeřík,
Zuzana Komínková Oplatková,
Michal Pluháček
Publication year - 2021
Publication title -
international journal of computers and communications
Language(s) - English
Resource type - Journals
ISSN - 2074-1294
DOI - 10.46300/91013.2021.15.9
Subject(s) - chaotic , symbolic regression , computer science , controller (irrigation) , control theory (sociology) , heuristic , function (biology) , differential (mechanical device) , chaotic map , control (management) , control engineering , mathematical optimization , algorithm , mathematics , genetic programming , artificial intelligence , engineering , evolutionary biology , agronomy , biology , aerospace engineering
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.