PROJECTIVE SYNCHRONIZATION OF DIFFERENT CHAOTIC SYSTEMS WITH NONLINEARITY INPUTS

2012 ◽  
Vol 26 (11) ◽  
pp. 1250059 ◽  
Author(s):  
YUJUN NIU ◽  
XINGYUAN WANG
Keyword(s):  
Chaotic Systems ◽  
Control Method ◽  
Sliding Mode ◽  
External Noise ◽  
Projective Synchronization ◽  
Adaptive Technique ◽  
Noise Disturbances ◽  
Different Chaotic Systems ◽  
Synchronization Scheme ◽  
The Given

In this paper, projective synchronization of different chaotic systems is studied, in the presence of uncertainties of system parameter variation, external noise disturbance and nonlinearity inputs. Using adaptive technique, sliding mode control method and pole assignment technique, an adaptive projective synchronization scheme is proposed to ensure the drive system and the response system with nonlinearity inputs can be rapidly synchronized up to the given scaling factor, without requiring the bounds of the system uncertainties and external noise disturbances be known in advance. The results of numerical simulation further verify the effectiveness and feasibility of the proposed scheme.

scholarly journals Combination-Combination Projective Synchronization of Multiple Chaotic Systems Using Sliding Mode Control

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Junwei Sun ◽  
Nan Li ◽  
Jie Fang
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Control Technique ◽  
Mode Control ◽  
Adaptive Laws ◽  
Different Chaotic Systems ◽  
Synchronization Scheme ◽  
Multiple Chaotic Systems

Based on projective synchronization and combination synchronization model, a type of combination-combination projective synchronization is realized via nonsingular sliding mode control technique for multiple different chaotic systems. Concretely, on the basic of the adaptive laws and stability theory, the corresponding sliding mode control surfaces and controllers are designed to achieve the combination-combination projective synchronization between the combination of two chaotic systems as drive system and the combination of multiple chaotic systems as response system with disturbances. Some criteria and corollaries are derived for combination-combination projective synchronization of the multiple different chaotic systems. Finally, the numerical simulation results are presented to demonstrate the effectiveness and correctness of the synchronization scheme.

scholarly journals Finite-Time Synchronization Between Two Different Chaotic Systems by Adaptive Sliding Mode Control

2021 ◽  
Vol 7 ◽  
Author(s):  
Nipaporn Tino ◽  
Piyapong Niamsup
Keyword(s):  
Sliding Mode Control ◽  
Finite Time ◽  
Chaotic Systems ◽  
Control Method ◽  
Sliding Mode ◽  
Tracking Error ◽  
Adaptive Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Different Chaotic Systems

The finite-time chaos synchronization between two different chaotic systems with uncertain parameters and external disturbances is studied. A new and improved adaptive fast nonsingular terminal sliding mode control (ANFTSM) has been designed for a fast rate convergence of tracking error to zero in finite time. The effectiveness of the proposed control method is shown in simulation results.

A Novel Adaptive Active Control Projective Synchronization of Chaotic Systems

2018 ◽  
Vol 13 (5) ◽  
Author(s):  
Boan Quan ◽  
Chunhua Wang ◽  
Jingru Sun ◽  
Yilin Zhao
Keyword(s):  
Active Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Chaotic Synchronization ◽  
Diagonal Matrix ◽  
Projective Synchronization ◽  
Adaptive Synchronization ◽  
Control Schemes ◽  
Error System ◽  
Synchronization Scheme

This paper investigates adaptive active control projective synchronization scheme. A general synchronization controller and parameter update laws are proposed to stabilize the error system for the identical structural chaotic systems. It is the first time that the active synchronization, the projective synchronization, and the adaptive synchronization are combined to achieve the synchronization of chaotic systems, which extend the control capability of achieving chaotic synchronization. By using a constant diagonal matrix, the active control is developed. Especially, when designing the controller, we just need to ensure that the diagonal elements of the diagonal matrix are less than or equal 0. So, the synchronization of chaotic systems can be realized more easily. Furthermore, by proposing an active controller, in combination with several different control schemes, we lower the complexity of the design process of the controller. More importantly, the larger the absolute value of product of the diagonal elements of diagonal matrix is, the smoother the curve of chaotic synchronization is and the shorter the time of chaotic synchronization is. In our paper, we take Lorenz system as an example to verify the effectiveness of the proposed synchronization scheme. Theoretical analysis and numerical simulations demonstrate the feasibility of this control method.

TUNING THE SYNCHRONOUS STATE OF TWO DIFFERENT CHAOTIC SYSTEMS

2011 ◽  
Vol 25 (28) ◽  
pp. 3755-3764
Author(s):  
JIANSHE WU ◽  
LICHENG JIAO ◽  
XIAOHUA WANG ◽  
YANGYANG LI ◽  
HONG HAN
Keyword(s):  
Active Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Synchronous State ◽  
Master System ◽  
Different Chaotic Systems ◽  
Synchronization Scheme ◽  
Special Case ◽  
Active Control Method

Unidirectional coupled synchronization of two identical or different chaotic systems has been carefully studied based on the master–slave synchronization scheme, where the synchronous state is that of the master system and cannot be changed after they realized synchronization. In this paper, a general bidirectional synchronization scheme is presented which made the master–slave scheme a special case. It is straightforward to tune the synchronous state by just changing the value of a parameter. Based on the general bidirectional synchronization scheme, active control method is used to tune the synchronous state of two pairs of different chaotic systems: the Lorenz and Chen systems; and then the Lü and Rössler systems.

Adaptive Modified Projective Synchronization Between Genesio and Rossler Chaotic Systems with Uncertainties

2012 ◽  
Vol 546-547 ◽  
pp. 1040-1044 ◽  
Author(s):  
Li Ming Du ◽  
Feng Ying Wang ◽  
Ji Fei Liu ◽  
Rui Pan
Keyword(s):  
Chaotic Systems ◽  
Control Method ◽  
Projective Synchronization ◽  
Sufficient Condition ◽  
Uncertain Parameters ◽  
Control Laws ◽  
Numerical Examples ◽  
Synchronization Problem ◽  
Modified Projective Synchronization ◽  
Different Chaotic Systems

The paper discusses the modified projective synchronization of two different chaotic systems by nonlinear control laws, considering the conditions of the master-slave systems with uncertain parameters, the synchronization problem between Genesio system and Rossler system has been investigated, adopting the adaptive control method, a sufficient condition is attainted for the modified projective synchronization between master and slave system, finally, The control performances are verified by the numerical examples.

scholarly journals A New Four-Dimensional Autonomous Hyperchaotic System and the Synchronization of Different Chaotic Systems by Using Fast Terminal Sliding Mode Control

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Baojie Zhang ◽  
Hongxing Li
Keyword(s):  
Sliding Mode Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Sliding Mode ◽  
Hyperchaotic System ◽  
Terminal Sliding Mode Control ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Fast Terminal Sliding Mode ◽  
Different Chaotic Systems

This paper presents a new continuous-time four-dimensional autonomous system based on Lorenz system. We analyze the dissipation, equilibrium, and Lyapunov exponents of the system. Lyapunov exponent spectrum demonstrates that the system possesses rich dynamic behaviors if the parameters of the system vary. In a large range of parameters, the system is hyperchaotic. By using fast terminal sliding mode control method, the synchronization of two different chaotic systems is studied. Synchronization between the new system and hyperchaotic Chen system with noise perturbation is illustrated. Simulation results verify the effectiveness of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document