A chaos to chaos control approach for controlling the chaotic dynamical systems using Hamilton energy feedback and fuzzy-logic system

Chaos. 2019 Jul;29(7):073113. doi: 10.1063/1.5087876.

Abstract

In this article, energy-based feedback control is introduced merely as an approach to suppress chaos. We have also shown in this study that an energy-based feedback controller is capable of changing a chaotic dynamic to other chaotic dynamics. In other words, energy feedback can also be used to convert chaos dynamics to another chaos dynamics, and the use of energy feedback should not be limited to suppress chaos. The importance of the issue lies in relating some practical applications of chaos to chaos control. In this short study, we have shown that an energy feedback control can be combined with a fuzzy self-regulating gain system. A short study has been done on Chua's circuit.