Open AccessA Research on the Synchronization of Two Novel Chaotic Systems Based on a Nonlinear Active Control Algorithm
Author(s) -
Israr Ahmad,
Azizan Saaban,
A. Ibrahin,
Mohammad Shahzad
Publication year - 2015
Publication title -
engineering, technology and applied science research/engineering, technology and applied science research
Language(s) - English
Resource type - Journals
eISSN - 2241-4487
pISSN - 1792-8036
DOI - 10.48084/etasr.434
Subject(s) - control theory (sociology) , synchronization of chaos , synchronization (alternating current) , stability theory , nonlinear system , lyapunov stability , chaotic , chaos (operating system) , computer science , transient (computer programming) , ideal (ethics) , chaotic systems , stability (learning theory) , coupling (piping) , nonlinear control , control (management) , engineering , physics , law , artificial intelligence , mechanical engineering , computer network , channel (broadcasting) , computer security , quantum mechanics , machine learning , political science , operating system
The problem of chaos synchronization is to design a coupling between two chaotic systems (master-slave/drive-response systems configuration) such that the chaotic time evaluation becomes ideal and the output of the slave (response) system asymptotically follows the output of the master (drive) system. This paper has addressed the chaos synchronization problem of two chaotic systems using the Nonlinear Control Techniques, based on Lyapunov stability theory. It has been shown that the proposed schemes have outstanding transient performances and that analytically as well as graphically, synchronization is asymptotically globally stable. Suitable feedback controllers are designed to stabilize the closed-loop system at the origin. All simulation results are carried out to corroborate the effectiveness of the proposed methodologies by using Mathematica 9.