scholarly journals Study on Chaotic Fault Tolerant Synchronization Control Based on Adaptive Observer

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Dongming Chen ◽  
Xinyu Huang ◽  
Tao Ren
Keyword(s):  
Secure Communication ◽  
Chaotic Systems ◽  
Fault Tolerant ◽  
Sufficient Conditions ◽  
Adaptive Observer ◽  
Synchronization Control ◽  
Slave System ◽  
Chen System ◽  
Master System ◽  
Abrupt Faults

Aiming at the abrupt faults of the chaotic system, an adaptive observer is proposed to trace the states of the master system. The sufficient conditions for synchronization of such chaotic systems are also derived. Then the feasibility and effectiveness of the proposed method are illustrated via numerical simulations of chaotic Chen system. Finally, the proposed synchronization schemes are applied to secure communication system successfully. The experimental results demonstrate that the employed observer can manage real-time fault diagnosis and parameter identification as well as states tracing of the master system, and so the synchronization of master system and slave system is achieved.

Chaos Anti-Synchronization between Chen System and Lu System

2014 ◽  
Vol 631-632 ◽  
pp. 710-713 ◽  
Author(s):  
Xian Yong Wu ◽  
Hao Wu ◽  
Hao Gong
Keyword(s):  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Lyapunov Theory ◽  
State Variables ◽  
Chen System ◽  
System Parameters ◽  
Control Scheme ◽  
Error Dynamics ◽  
The Stability ◽  
Different Chaotic Systems

Anti-synchronization of two different chaotic systems is investigated. On the basis of Lyapunov theory, adaptive control scheme is proposed when system parameters are unknown, sufficient conditions for the stability of the error dynamics are derived, where the controllers are designed using the sum of the state variables in chaotic systems. Numerical simulations are performed for the Chen and Lu systems to demonstrate the effectiveness of the proposed control strategy.

The Model of Liu Chaotic Synchronization with Oscillating Parameters under the Impulsive Control

2011 ◽  
Vol 480-481 ◽  
pp. 1378-1382
Author(s):  
Yan Hui Chen
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Impulsive Control ◽  
Impulsive Differential Equations ◽  
Chaotic Synchronization ◽  
Control Signal ◽  
Synchronization Control ◽  
Security Risks ◽  
Control Scheme

The control of chaotic synchronization is the kernel technology in chaos-based secure communication. Those control methods have to transmitting control signal which increase the security risks of the communication system. Attacker can reconstruct the chaotic system or estimate parameters by using the information of the chaotic system. In this paper we propose a hybrid Liu chaotic synchronization control scheme which contains both continuous chaotic system with oscillating parameters approach to 0 and discrete chaotic system. By theory of impulsive differential equations, we proved a theorem that two continuous Liu chaotic systems can get synchronized without control signal transmitting which has reduced the risk of the security.

SYNCHRONIZATION OF UNCERTAIN HYPERCHAOTIC AND CHAOTIC SYSTEMS BY ADAPTIVE CONTROL

2008 ◽  
Vol 18 (12) ◽  
pp. 3731-3736 ◽  
Author(s):  
ZHI-YU LIU ◽  
CHIA-JU LIU ◽  
MING-CHUNG HO ◽  
YAO-CHEN HUNG ◽  
TZU-FANG HSU ◽  
...  
Keyword(s):  
Chaotic Systems ◽  
Mean Squared Error ◽  
Lyapunov Stability Theory ◽  
Adaptive Controller ◽  
Slave System ◽  
Unknown Parameters ◽  
Squared Error ◽  
Master System ◽  
Two Systems ◽  
The Mean

This paper presents the synchronization between uncertain hyperchaotic and chaotic systems. Based on Lyapunov stability theory, an adaptive controller is derived to achieve synchronization of hyperchaotic and chaotic systems, including the case of unknown parameters in these two systems. The T.N.Č. hyperchaotic oscillator is used as the master system, and the Rössler system is used as the slave system. Numerical simulations verify these results. Additionally, the effect of noise is investigated by measuring the mean squared error (MSE) of two systems.

scholarly journals Coexistence of synchronization and anti-synchronization in chaotic systems

2016 ◽  
Vol 26 (1) ◽  
pp. 69-79 ◽  
Author(s):  
Ling Ren ◽  
Rongwei Guo ◽  
Uchechukwu E. Vincent
Keyword(s):  
Numerical Simulations ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Control Strategies ◽  
System Control ◽  
Slave System ◽  
Unified Chaotic System ◽  
Master System ◽  
Novel Algorithm

The coexistence of anti-synchronization and synchronization in chaotic systems is investigated. A novel algorithm is proposed to determine the variables of the master system that should anti-synchronize with corresponding variables of the slave system. Control strategies that guarantee the coexistence of synchronization and anti-synchronization in the unified chaotic system are presented; while numerical simulations are employed to validate and illustrate the effectiveness of the proposed method.

Adaptive Synchronization of Unknown Chaotic Systems Using Mamdani Fuzzy Approach

2012 ◽  
Vol 1 (3) ◽  
pp. 122-138 ◽  
Author(s):  
G. El-Ghazaly
Keyword(s):  
Fuzzy Systems ◽  
Chaotic Systems ◽  
Small Neighborhood ◽  
Lyapunov Stability Theory ◽  
Approximate Model ◽  
Adaptive Synchronization ◽  
Control Input ◽  
Slave System ◽  
Master System ◽  
Unknown Chaotic Systems

The synchronization problem for a general-class of unknown chaotic systems is addressed. Fuzzy systems in Mamdani type are employed to provide an approximate model of the master chaotic system using an adaptive approach. Within this, a number of fuzzy systems are utilized to approximate the unknown nonlinear functions of the master system. An approximate model similar to the master system is constructed which is the slave system. The error dynamics between the master and slave chaotic systems is used to build a suitable control input and fuzzy systems’ parameters adaptive laws to force the slave system to be synchronized with master system. The stability of the overall synchronization system is derived based on Lyapunov stability theory. Its shown that under appropriate assumptions, the proposed approach guarantees the boundness and asymptotic convergence of synchronization errors to a small neighborhood of origin. An extensive simulation study is performed on both Duffing and Rössler chaotic systems to show the effectiveness of the proposed scheme.

scholarly journals Adaptive Control Synchronization of a Novel Memristive Chaotic System for Secure Communication Applications

Inventions ◽  
2019 ◽  
Vol 4 (2) ◽  
pp. 30 ◽  
Author(s):  
Zain-Aldeen S. A. Rahman ◽  
Hayder A. A. Al-Kashoash ◽  
Saif Muneam Ramadhan ◽  
Yasir I. A. Al-Yasir
Keyword(s):  
Adaptive Control ◽  
Chaotic System ◽  
Data Transmission ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Lyapunov Theory ◽  
Control Law ◽  
Slave System ◽  
Synchronization Mechanism ◽  
Adaptive Control Law

In this paper, a new memristive chaotic system is designed, analyzed, tested, and proposed. An adaptive control synchronization mechanism for both master and slave chaotic systems is also designed. The adaptive control law of this mechanism is derived based on the Lyapunov theory. A single parameter in the slave system has been assumed to be unknown. As the parameters of the master and slave are asymptotically matched, the unknown slave parameters will be identified according to the master’s parameters. The proposed system is used in a secure communication system. The achieved results prove a simple system implementation with a high security of data transmission.

Synchronization Control of Chaotic Systems with Different Orders

2014 ◽  
Vol 721 ◽  
pp. 218-221
Author(s):  
Ya Fang Yang
Keyword(s):  
Numerical Simulations ◽  
Chaotic Systems ◽  
Projective Synchronization ◽  
Order System ◽  
Synchronization Control ◽  
Uncertain Parameters ◽  
Chen System ◽  
Function Projective Synchronization ◽  
Full Synchronization ◽  
Identification Strategy

The mixed function projective synchronization is proposed in this paper, which includes the full synchronization and the anti-synchronization and so on. We design an effective controller and parameters identification strategy to study the synchronization phenomena between systems with different orders and uncertain parameters. The analytic results are complemented with numerical simulations for two chaotic systems which are the new integer-order system and the fractional-order Chen system, respectively. Several results show the effectiveness of the presented scheme.

scholarly journals Anti-Synchronization of Tigan and Li Systems with Unknown Parameters via Adaptive Control

2011 ◽  
Vol 2 (1) ◽  
pp. 17-28
Author(s):  
Vaidyanathan SUNDARAPANDIAN ◽  
Karthikeyan RAJAGOPAL
Keyword(s):  
Adaptive Control ◽  
Feedback Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Adaptive Synchronization ◽  
Control Law ◽  
Slave System ◽  
Unknown Parameters ◽  
Master System ◽  
Uncertain Chaotic Systems

In this paper, we apply adaptive control method toderive new results for the anti-synchronization of identical Tigansystems (2008), identical Li systems (2009) and non-identical Tiganand Li systems. In adaptive anti-synchronization of identical chaoticsystems, the parameters of the master and slave systems are unknownand we devise feedback control law using the estimates of the systemparameters. In adaptive anti-synchronization of non-identical chaoticsystems, the parameters of the master system are known, but theparameters of the slave system are unknown and we devise feedbackcontrol law using the estimates of the parameters of the slave system.Our adaptive synchronization results derived in this paper for theuncertain Tigan and Li systems are established using Lyapunovstability theory. Since the Lyapunov exponents are not required forthese calculations, the adaptive control method is very effective andconvenient to achieve anti-synchronization of identical and nonidenticalTigan and Li systems. Numerical simulations are shown todemonstrate the effectiveness of the adaptive anti-synchronizationschemes for the uncertain chaotic systems addressed in this paper.

scholarly journals Generalized Dynamic Switched Synchronization between Combinations of Fractional-Order Chaotic Systems

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-17 ◽  
Author(s):  
Wafaa S. Sayed ◽  
Moheb M. R. Henein ◽  
Salwa K. Abd-El-Hafiz ◽  
Ahmed G. Radwan
Keyword(s):  
Fractional Order ◽  
Secure Communication ◽  
Communication Systems ◽  
Chaotic Systems ◽  
Mathematical Formulation ◽  
Dynamic Scaling ◽  
Scaling Factors ◽  
Operating Modes ◽  
Master System ◽  
Synchronization Scheme

This paper proposes a novel generalized switched synchronization scheme amongnfractional-order chaotic systems with various operating modes. Digital dynamic switches and dynamic scaling factors are employed, which offer many new capabilities. Dynamic switches determine the role of each system as a master or a slave. A system can either have a fixed role throughout the simulation time (static switching) or switch its role one or more times (dynamic switching). Dynamic scaling factors are used for each state variable of the master system. Such scaling factors control whether the master is a single system or a combination of several systems. In addition, these factors determine the generalized relation between the original systems from which the master system is built as well as the slave system(s). Moreover, they can be utilized to achieve different kinds of generalized synchronization relations for the purpose of generating new attractor diagrams. The paper presents a mathematical formulation and analysis of the proposed synchronization scheme. Furthermore, many numerical simulations are provided to demonstrate the successful generalized switched synchronization of several fractional-order chaotic systems. The proposed scheme provides various functions suitable for applications such as different master-slave communication models and secure communication systems.

From Fault-Diagnosis and Performance Recovery of a Controlled System to Chaotic Secure Communication

2014 ◽  
Vol 24 (12) ◽  
pp. 1450151 ◽  
Author(s):  
Wen-Teng Hsu ◽  
Jason Sheng-Hong Tsai ◽  
Fang-Cheng Guo ◽  
Shu-Mei Guo ◽  
Leang-San Shieh
Keyword(s):  
Fault Diagnosis ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Linear Time ◽  
Fault Detection And Diagnosis ◽  
Adaptive Observer ◽  
Tracking Performance ◽  
Control Input ◽  
Sampled Data ◽  
Performance Recovery

Chaotic systems are often applied to encryption on secure communication, but they may not provide high-degree security. In order to improve the security of communication, chaotic systems may need to add other secure signals, but this may cause the system to diverge. In this paper, we redesign a communication scheme that could create secure communication with additional secure signals, and the proposed scheme could keep system convergence. First, we introduce the universal state-space adaptive observer-based fault diagnosis/estimator and the high-performance tracker for the sampled-data linear time-varying system with unanticipated decay factors in actuators/system states. Besides, robustness, convergence in the mean, and tracking ability are given in this paper. A residual generation scheme and a mechanism for auto-tuning switched gain is also presented, so that the introduced methodology is applicable for the fault detection and diagnosis (FDD) for actuator and state faults to yield a high tracking performance recovery. The evolutionary programming-based adaptive observer is then applied to the problem of secure communication. Whenever the tracker induces a large control input which might not conform to the input constraint of some physical systems, the proposed modified linear quadratic optimal tracker (LQT) can effectively restrict the control input within the specified constraint interval, under the acceptable tracking performance. The effectiveness of the proposed design methodology is illustrated through tracking control simulation examples.

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