Open AccessControlling Chaotic Systems via Time-delayed Control
Author(s) -
Ramy Farid,
Amal M. Ibrahim,
Belal Abou-Zalam
Publication year - 2021
Publication title -
international journal of computers and communications
Language(s) - English
Resource type - Journals
ISSN - 2074-1294
DOI - 10.46300/91013.2021.15.8
Subject(s) - control theory (sociology) , attractor , controller (irrigation) , chaotic , chaotic systems , equilibrium point , mathematics , lyapunov function , computer science , control (management) , physics , mathematical analysis , nonlinear system , differential equation , artificial intelligence , quantum mechanics , agronomy , biology
Based on Lyapunov stabilization theory, this paper proposes a proportional plus integral time-delayed controller to stabilize unstable equilibrium points (UPOs) embedded in chaotic attractors. The criterion is successfully applied to the classic Chua's circuit. Theoretical analysis and numerical simulation show the effectiveness of this controller.