Chaos Control in Chaotic Dynamical Systems Via Auto-tuning Hamilton Energy Feedback

Abstract

The converting of an unwelcome chaotic behaviour of the brain activity into another chaotic behaviour can result in some disorders and their treatment as an epileptic seizure. Recently in some articles, energy-based feedback control is introduced only as an aim to omit the chaos. In other words, it is used only for anti-control of chaos. But in this study, the capability of changing chaotic dynamics to other ones with a feedback energy-based controller has been demonstrated. The converting of chaos dynamics to another chaos dynamics can be made possible by using energy feedback and Limiting to omit the chaos should not be occurred by using energy feedback. Some practical applications of chaos to chaos controllable related to the emphasis of this issue. A short glance at a well-known Lorenz chaotic system has been indicated that chaos to chaos control will be reachable by combining a self-regulating gain fuzzy system with an energy feedback control, as well.