Projective synchronization of a class of chaotic systems by dynamic feedback control method

2017 ◽  
Vol 90 (1) ◽  
pp. 53-64 ◽  
Author(s):  
Rongwei Guo
Keyword(s):  
Feedback Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Projective Synchronization ◽  
Dynamic Feedback ◽  
Feedback Control Method ◽  
Dynamic Feedback Control

scholarly journals Partial Anti-Synchronization of the Fractional-Order Chaotic Systems through Dynamic Feedback Control

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 718
Author(s):  
Runlong Peng ◽  
Cuimei Jiang ◽  
Rongwei Guo
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Control Method ◽  
Dynamic Feedback ◽  
Synchronization Problem ◽  
Feedback Control Method ◽  
Single Input ◽  
Dynamic Feedback Control ◽  
Necessary And Sufficient

This paper investigates the partial anti-synchronization problem of fractional-order chaotic systems through the dynamic feedback control method. Firstly, a necessary and sufficient condition is proposed, by which the existence of the partial anti-synchronization problem is proved. Then, an algorithm is given and used to obtain all solutions of this problem. Moreover, the partial anti-synchronization problem of the fractional-order chaotic systems is realized through the dynamic feedback control method. It is noted that the designed controllers are single-input controllers. Finally, two illustrative examples with numerical simulations are used to verify the correctness and effectiveness of the proposed results.

scholarly journals Synchronization of Fractional-Order Chaotic Systems with Model Uncertainty and External Disturbance

Mathematics ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 877
Author(s):  
Rongwei Guo ◽  
Yaru Zhang ◽  
Cuimei Jiang
Keyword(s):  
Feedback Control ◽  
Fractional Order ◽  
Model Uncertainty ◽  
Chaotic Systems ◽  
Control Method ◽  
External Disturbance ◽  
Dynamic Feedback ◽  
Complete Synchronization ◽  
Feedback Control Method ◽  
Dynamic Feedback Control

This paper is concerned with complete synchronization of fractional-order chaotic systems with both model uncertainty and external disturbance. Firstly, we propose a new dynamic feedback control method for complete synchronization of fractional-order nominal systems (without both uncertainty and disturbance). Then, a new uncertainty and disturbance estimator (UDE)-based dynamic feedback control method for the fractional-order systems with both uncertainty and disturbance is presented, by which the synchronization problem of such fractional-order chaotic systems is realized. Finally, the fractional-order Lorenz system is used to demonstrate the practicability of the proposed results.

scholarly journals Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Zhi Liu ◽  
Rongwei Guo
Keyword(s):  
Feedback Control ◽  
Chaotic System ◽  
Control Method ◽  
Linear Feedback ◽  
Dynamic Feedback ◽  
Feedback Control Method ◽  
Dynamic Feedback Control ◽  
Complex Chaotic Systems ◽  
Complex Chaotic System ◽  
Theoretical Results

The stabilization problem of the complex chaotic system is investigated in this paper. First, a systematic method is proposed, by which a given complex chaotic system can be transformed into its equivalent real chaotic system. Then, both simple and physical controller is designed for the corresponding real chaotic system by the dynamic feedback control method, thereby the controller for the original complex chaotic system is obtained. Especially, for some complex system, the controller is obtained by the linear feedback control method. Finally, two illustrative examples with numerical simulations are used to verify the validity and effectiveness of the theoretical results.

scholarly journals Antisynchronization of the Hyperchaotic Systems with Uncertainty and Disturbance Using the UDE-Based Control Method

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Zuoxun Wang ◽  
Xiaotong Yu ◽  
Guijuan Wang
Keyword(s):  
Feedback Control ◽  
Control Method ◽  
External Disturbance ◽  
Hyperchaotic System ◽  
Dynamic Feedback ◽  
Disturbance Estimation ◽  
Feedback Control Method ◽  
Dynamic Feedback Control ◽  
Hyperchaotic Systems ◽  
Uncertainty And Disturbance Estimation

In this paper, we investigate the antisynchronization problem of a class of hyperchaotic systems with both model uncertainty and external disturbance. Firstly, combining the dynamic feedback control method and the uncertainty and disturbance estimation (UDE)-based control method, we propose a new UDE-based dynamic feedback control method. Secondly, we take the 4D hyperchaotic system as an example and realize the antisynchronization problem of such system. Finally, the effectiveness and correctness of the proposed method is verified by numerical simulation.

scholarly journals Two Types of Synchronization Problems in a New 5D Hyperchaotic System

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Bin Li ◽  
Xue Yang ◽  
Qixing Liang ◽  
Zhi Li
Keyword(s):  
Feedback Control ◽  
Control Method ◽  
Hyperchaotic System ◽  
Dynamic Feedback ◽  
Complete Synchronization ◽  
Synchronization Problem ◽  
Feedback Control Method ◽  
Dynamic Feedback Control ◽  
Theoretical Results ◽  
Synchronization Problems

This paper investigates the synchronization problem in a new 5D hyperchaotic system. Firstly, the existence of two types of synchronization problems in the new 5D hyperchaotic system is proved. Then, by the dynamic feedback control method, one complete synchronization problem and three coexistence of complete synchronization and antisynchronization problems in such system are realized. Finally, numerical simulations are used to verify the validity and effectiveness of the theoretical results.

Generalized Hybrid Dislocated Function Projective Synchronization of Chaotic Systems with Time Delay

2014 ◽  
Vol 574 ◽  
pp. 672-678 ◽  
Author(s):  
Rui Li ◽  
Guang Jun Zhang ◽  
Tao Zhu ◽  
Xu Jing Wang ◽  
Jun Dong
Keyword(s):  
Time Delay ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Control Method ◽  
Scaling Factor ◽  
Projective Synchronization ◽  
Feedback Gain ◽  
Uncertain Parameters ◽  
Function Projective Synchronization ◽  
Feedback Control Method

In order to improve the security of secure communication, a novel generalized hybrid dislocated function projective synchronization (GHDFPS) was proposed and GHDFPS of time delay chaotic systems with uncertain parameters were researched in this paper. Due to time delay, the chaotic system can produce multiple positive Lyapunov exponential; this characteristic can enhance security in secure communications noticeably. Based on Lyapunove stability theory and modified hybrid feedback control method, the modified hybrid feedback controller and the parameter updating laws were designed for the GHDFPS between the two time delay chaotic systems with uncertain parameters. The feedback gain can be adjusted automatically according to the synchronization error values. Under the controller, generalized hybrid dislocated function projective synchronization of the two chaotic systems is achieved, and the uncertain parameters of response systems are identified. The chaotic item is added in the function scale factor. The chaotic item in the function scaling factor makes function scaling factor more complex and unpredictable. So this can enhance the features of indeterminism in secure communication. The time delay feedback Lorenz system as an example; by numerical simulations the effectiveness of the proposed method is demonstrated.

Stabilization of a Class of Chaotic Systems via Single-State Adaptive Feedback Controller

2014 ◽  
Vol 571-572 ◽  
pp. 965-968
Author(s):  
De Gang Yang ◽  
Guo Ying Qiu
Keyword(s):  
Feedback Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Feedback Controller ◽  
Control Analysis ◽  
Adaptive Feedback ◽  
Adaptive Feedback Control ◽  
Feedback Control Method ◽  
Single State ◽  
System States

This paper investigates the application of the adaptive feedback control method in the chaotic system and Single-state Adaptive Feedback Controller. We divide the adaptive feedback controller into several items, each of which has only one component of the system states as feedback input into each dimension of the system. With the introduction of single-state controller, the scale of control inputs can be flexibly adjusted, the additional loading reduced, better convergence effect obtained and the application field of adaptive feedback control methods further extended in stable control analysis of chaotic systems. An example is also given to illustrate the validity of our result.

Function Projective Synchronization in Complex Networks with Stochastic Effects via Hybrid Feedback Control

2014 ◽  
Vol 511-512 ◽  
pp. 1008-1011
Author(s):  
Yun Guo Jin ◽  
Shou Ming Zhong
Keyword(s):  
Feedback Control ◽  
Complex Networks ◽  
Control Method ◽  
Exponential Synchronization ◽  
Projective Synchronization ◽  
Mean Square ◽  
Stochastic Effects ◽  
Function Projective Synchronization ◽  
Feedback Control Method

In this paper, the problem of function projective synchronization is investigated for complex networks with stochastic effects. A hybrid feedback control method is designed to achieve function projective synchronization for the complex networks. Using Gronwally' inequality, we obtain some conditions to guarantee that the complex networks can realize mean square synchronization and mean square exponential synchronization, respectively.

scholarly journals Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback Control

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Hui Fang
Keyword(s):  
Feedback Control ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Control Method ◽  
Chaotic Synchronization ◽  
Delayed Feedback ◽  
Delayed Feedback Control ◽  
Rank One ◽  
Feedback Control Method ◽  
Synchronization Scheme

This paper illustrates the presence of chaos in rank-one chaotic systems with delay via a binary test (called 0-1 test) for chaos. Chaotic synchronization between two rank-one chaotic systems without and with delay is achieved by means of Lyapunov functional and linear delayed feedback control method. Numerical simulations are implemented to verify the effectiveness of the proposed chaos synchronization scheme.

Sign in / Sign up

Export Citation Format

Share Document