scholarly journals Synchronization Phenomena in Coupled Birkhoff-Shaw Chaotic Systems Using Nonlinear Controllers

10.5772/64811 ◽  
2016 ◽  
Author(s):  
Christos K. Volos ◽  
Hector E. Nistazakis ◽  
Ioannis M. Kyprianidis ◽  
Ioannis N. Stouboulos ◽  
George S. Tombras
Keyword(s):  
Chaotic Systems ◽  
Nonlinear Controllers

scholarly journals Nonlinear Dynamic Analysis and Synchronization of Four-Dimensional Lorenz-Stenflo System and Its Circuit Experimental Implementation

2014 ◽  
Vol 2014 ◽  
pp. 1-17 ◽  
Author(s):  
Cheng-Hsiung Yang ◽  
Cheng-Lin Wu
Keyword(s):  
Dynamical System ◽  
Numerical Simulation ◽  
Chaotic Systems ◽  
Nonlinear Dynamic Analysis ◽  
Uncertain Parameters ◽  
Chaotic Dynamical System ◽  
Partial Region ◽  
Nonlinear Controllers ◽  
Experimental Implementation ◽  
Chaotic Circuits

Recently many chaotic systems’ circuits are designed to generate phenomenon of chaos signals. The ability to synchronize chaotic circuits opens a great number of ways to use them in application signals masking. In this paper, first a new nonlinear chaotic dynamical system had be design, analyze and build circuit. Second, using GYC, partial region stability theory is applied to adaptive control for two identical chaotic systems with uncertain parameters. The results of numerical simulation are performed to verify examples of the proposed nonlinear controllers.

On Fuzzy Control of Chaotic Systems

2004 ◽  
Vol 10 (7) ◽  
pp. 979-993 ◽  
Author(s):  
Ahmad M. Harb ◽  
Issam A. Smadi
Keyword(s):  
Mathematical Model ◽  
Fuzzy Logic ◽  
Fuzzy Control ◽  
Power Systems ◽  
Strange Attractor ◽  
Chaotic Systems ◽  
Chaotic Behavior ◽  
Secure Communications ◽  
Nonlinear Controllers ◽  
Linear And Nonlinear

In this paper, we introduce the control of the strange attractor, chaos. Because of the importance of controlling undesirable behavior in systems. researchers are investigating the use of linear and nonlinear controllers, either to remove such oscillations (in power systems) or to match two chaotic systems (in secure communications). The idea of using the fuzzy logic concept for controlling chaotic behavior is presented. There are two good reasons for using fulzy control: first, there is no mathematical model available for the process; secondly. it can satisfy nonlinear control that can be developed empirically. without complicated mathematics. The two systems are well-known models so the first reason is not a big problem. and we can take advantage of the second reason.

Chaos Control Using PID and Lead Compensator Based on Fuzzy Gain Scheduling Technique

2006 ◽  
Author(s):  
Sayyed Rouhollah Jafari Tafti ◽  
Yousha Radparvar ◽  
Hassan Salarieh ◽  
Aria Alasty
Keyword(s):  
Control System ◽  
Nonlinear System ◽  
Pid Controller ◽  
Chaos Control ◽  
Chaotic Systems ◽  
Gain Scheduling ◽  
Nonlinear Controllers ◽  
Lead Compensator ◽  
Linearized System ◽  
Scheduling Technique

In this paper, a new method for tracking a desired path in nonlinear chaotic systems is presented. This method is based on using fuzzy gain scheduling in designing PID controller and Lead compensator. Using two standard controllers, PID and Lead, instead of complicated and costly nonlinear controllers is the main advantage of the proposed control system. PID controller has a stabilizing role whereas Lead compensator improves the performance of the system to track the desired path properly. To determine the PID and Lead gains, the nonlinear system is linearized around some working points which are the points of the desired path in specified times, and the gains are designed for each linearized system. Using a Sugeno system as a fuzzy gain scheduler, PID and Lead gains are determined in each time and are applied to the control system to make the nonlinear system track the desired path. To verify the presented method, Duffing equation as a chaotic system is considered to be controlled to which the proposed procedure is applied. Simulation results show the effectiveness of fuzzy gain scheduling in making the nonlinear system track different desired paths more smoothly.

Synchronization of Chaotic Systems with Uncertain Time-Varying Parameters

2015 ◽  
Vol 9 (6) ◽  
pp. 568
Author(s):  
Ahmad Al-Jarrah ◽  
Mohammad Ababneh ◽  
Suleiman Bani Hani ◽  
Khalid Al-Widyan
Keyword(s):  
Chaotic Systems ◽  
Time Varying ◽  
Varying Parameters ◽  
Time Varying Parameters ◽  
Uncertain Time

A New Image Encryption Scheme Using Dual Chaotic Map Synchronization

2020 ◽  
Vol 18 (1) ◽  
Keyword(s):  
Image Encryption ◽  
Chaotic Systems ◽  
Initial Conditions ◽  
Chaotic Map ◽  
Security Applications ◽  
The Common ◽  
And Diffusion ◽  
Confusion And Diffusion ◽  
Sensitivity To Initial Conditions ◽  
Diffusion Properties

Chaotic systems behavior attracts many researchers in the field of image encryption. The major advantage of using chaos as the basis for developing a crypto-system is due to its sensitivity to initial conditions and parameter tunning as well as the random-like behavior which resembles the main ingredients of a good cipher namely the confusion and diffusion properties. In this article, we present a new scheme based on the synchronization of dual chaotic systems namely Lorenz and Chen chaotic systems and prove that those chaotic maps can be completely synchronized with other under suitable conditions and specific parameters that make a new addition to the chaotic based encryption systems. This addition provides a master-slave configuration that is utilized to construct the proposed dual synchronized chaos-based cipher scheme. The common security analyses are performed to validate the effectiveness of the proposed scheme. Based on all experiments and analyses, we can conclude that this scheme is secure, efficient, robust, reliable, and can be directly applied successfully for many practical security applications in insecure network channels such as the Internet

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