scholarly journals Parameter Estimation of a Class One-Dimensional Discrete Chaotic System

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Lidong Liu ◽  
Jinfeng Hu ◽  
Huiyong Li ◽  
Jun Li ◽  
Zishu He ◽  
...  

It is of vital importance to exactly estimate the unknown parameters of chaotic systems in chaos control and synchronization. In this paper, we present a method for estimating one-dimensional discrete chaotic system based on mean value method (MVM). It is proposed by exploiting the ergodic and synchronization features of chaos. It can effectively estimate the parameter value, and it is more exact than MVM. Finally, numerical simulations on Chebyshev map and Tent map show that the proposed method has better performance of parameter estimation than MVM.

2012 ◽  
Vol 187 ◽  
pp. 115-121
Author(s):  
Ke E Li ◽  
Yu Hua Xu

In this paper, a new chaotic system is discussed. Some basic dynamical properties are studied , and we also deal with the finite-time chaos control and synchronization of the new chaotic system. Based on the finite-time stability theory, the control law are proposed to drive chaos to equilibria within finite time, and the control law and the parameter update law are proposed to realize finite-time synchronization of the new chaotic system under unknown parameters. The controller is simple and robust to noise. Numerical simulations are given to show the effectiveness of the proposed controllers.


2012 ◽  
Vol 155-156 ◽  
pp. 1189-1192
Author(s):  
Yu Liang Cheng ◽  
Jun Wei Lei ◽  
Wen Guang Zhang

A modification to the parameter estimation update law in [Q. Jia, Adaptive control and synchronization of a new hyper chaotic system with unknown parameters, Phys. Lett. A 362 (2007) 424] is proposed. So the unknown parameters are avoided to be used to construct a controller and also numerical simulation is done at the end of this paper and good performance is achieved to testified the rightness and effectiveness of the proposed method.


2013 ◽  
Vol 373-375 ◽  
pp. 487-490
Author(s):  
Shuai Yuan ◽  
Guo Yun Zhang ◽  
Jian Hui Wu ◽  
Long Yuan Guo

Bar code technology has been widely used with the development of computer application, which studies information identification by bar code and conversion from bar code information to computer language for automatic input, identification and statistics. This paper presents system design and realization of recognition system for one-dimensional bar code according with ISBN encoding rule. Encoding rule of common bar code is introduced at first. Bar code image is preprocessed by binaryzation, then the image noise caused by print quality and dirt is filtered by a mean value method. The actual width of bars and intervals are measured to identify contained digital information in one-dimensional bar code image. The result show that the method presented has good accuracy, quick speed and strong robustness for realtime application.


2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Tao Wang ◽  
Kejun Wang ◽  
Nuo Jia

Adaptive feedback controllers based on Lyapunov's direct method for chaos control and hybrid projective synchronization (HPS) of a novel 3D chaotic system are proposed. Especially, the controller can be simplified ulteriorly into a single scalar one to achieve complete synchronization. The HPS between two nearly identical chaotic systems with unknown parameters is also studied, and adaptive parameter update laws are developed. Numerical simulations are demonstrated to verify the effectiveness of the control strategies.


Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
Runzi Luo ◽  
Haipeng Su ◽  
Yanhui Zeng

This paper investigates the control and synchronization of a class of chaotic systems with switched output which is assumed to be switched between the first and the second state variables of chaotic system. Some novel and yet simple criteria for the control and synchronization of a class of chaotic systems are proposed via the switched output. The generalized Lorenz chaotic system is taken as an example to show the feasibility and efficiency of theoretical results.


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