CHAOTIC SECURE COMMUNICATION BASED ON THE CONCEPT OF EQUIVALENT CONTROL

2006 ◽  
Vol 16 (02) ◽  
pp. 419-425 ◽  
Author(s):  
MAO-YIN CHEN ◽  
DONG-HUA ZHOU ◽  
YUN SHANG
Keyword(s):  
Numerical Simulation ◽  
Theoretical Analysis ◽  
Secure Communication ◽  
Sliding Mode ◽  
Higher Order ◽  
Order System ◽  
Augmented System ◽  
Response System ◽  
Equivalent Control ◽  
Chaotic Secure Communication

This Letter considers the problem of chaotic secure communication in the drive-response framework. The drive system can be augmented into a higher order system, and then a sliding mode observer based response system can be constructed to synchronize this augmented system. If they satisfy certain conditions, the hidden message can be recovered directly by the concept of equivalent control. Theoretical analysis and numerical simulation verify the effectiveness of the proposed method.

scholarly journals Sliding Mode Control and Modified Generalized Projective Synchronization of a New Fractional-Order Chaotic System

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Junbiao Guan ◽  
Kaihua Wang
Keyword(s):  
Sliding Mode Control ◽  
Fractional Order ◽  
Chaotic System ◽  
Secure Communication ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Control Technique ◽  
Order System ◽  
Mode Control ◽  
The Stability

A new fractional-order chaotic system is addressed in this paper. By applying the continuous frequency distribution theory, the indirect Lyapunov stability of this system is investigated based on sliding mode control technique. The adaptive laws are designed to guarantee the stability of the system with the uncertainty and external disturbance. Moreover, the modified generalized projection synchronization (MGPS) of the fractional-order chaotic systems is discussed based on the stability theory of fractional-order system, which may provide potential applications in secure communication. Finally, some numerical simulations are presented to show the effectiveness of the theoretical results.

scholarly journals Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Wen Tan ◽  
Feng Ling Jiang ◽  
Chuang Xia Huang ◽  
Lan Zhou
Keyword(s):  
Theoretical Analysis ◽  
Fractional Order ◽  
Secure Communication ◽  
Controller Design ◽  
Design Method ◽  
Hyperchaotic System ◽  
Response System ◽  
Control Scheme ◽  
The Stability ◽  
Hyperchaotic Systems

A new controller design method is proposed to synchronize the fractional-order hyperchaotic system through the stability theory of fractional calculus; the synchronization between two identical fractional-order Chen hyperchaotic systems is realized by designing only two suitable controllers in the response system. Furthermore, this control scheme can be used in secure communication via the technology of chaotic masking using the complex nonperiodic information as trial message, and the useful information can be recovered at the receiver. Numerical simulations coincide with the theoretical analysis.

scholarly journals Global Dynamical Properties of Rational Higher-Order System of Difference Equations

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
A. Q. Khan ◽  
S. M. Qureshi
Keyword(s):  
Numerical Simulation ◽  
Positive Solution ◽  
Higher Order ◽  
Order System ◽  
Discrete Time System ◽  
System Of Difference Equations ◽  
Time System ◽  
Dynamical Properties ◽  
Globally Stable ◽  
Theoretical Results

In this paper, global dynamical properties of rational higher-order system are explored in the interior of ℝ+3. It is explored that under certain parametric conditions, the discrete-time system has at most eight equilibria. By the method of linearization, local dynamics has been explored. It is explored that positive solution of the system is bounded, and moreover fixed point P000 is globally stable if α1/α2<1, α4/α5<1, α7/α8<1. It is also investigated that the positive solution of the system under consideration converges to P000. Lastly, theoretical results are confirmed by numerical simulation. The presented work is significantly extended and improves current results in the literature.

GENERALIZED SYNCHRONIZATION OF FRACTIONAL ORDER HYPERCHAOTIC LORENZ SYSTEM

2009 ◽  
Vol 23 (17) ◽  
pp. 2167-2178 ◽  
Author(s):  
TIANSHU WANG ◽  
XINGYUAN WANG
Keyword(s):  
Numerical Simulation ◽  
Fractional Order ◽  
Lorenz System ◽  
Order System ◽  
Generalized Synchronization ◽  
Response System ◽  
Hyperchaotic Lorenz System ◽  
Simulation Results ◽  
The Stability ◽  
Predictor Corrector

In this paper, a type of new fractional order hyperchaotic Lorenz system is proposed. Based on the fractional calculus predictor-corrector algorithm, the fractional order hyperchaotic Lorenz system is investigated numerically, and the simulation results show that the lowest orders for hyperchaos in hyperchaotic Lorenz system is 3.884. According to the stability theory of fractional order system, an improved state-observer is designed, and the response system of generalized synchronization is obtained analytically, whose feasibility is proved theoretically. The synchronization method is adopted to realize the generalized synchronization of 3.884-order hyperchaotic Lorenz system, and the numerical simulation results verify the effectiveness.

scholarly journals Synchronization of Unified Chaotic Systems Using Sliding Mode Controller

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Yi-You Hou ◽  
Ben-Yi Liau ◽  
Hsin-Chieh Chen
Keyword(s):  
Secure Communication ◽  
Chaotic Systems ◽  
Controller Design ◽  
Sliding Mode ◽  
Problem Formulation ◽  
Sliding Mode Controller ◽  
Unified Chaotic System ◽  
Unified Chaotic Systems ◽  
Simulation Results ◽  
Chaotic Secure Communication

This paper presents a method for synchronizing the unified chaotic systems via a sliding mode controller (SMC). The unified chaotic system and problem formulation are described. Two identical unified chaotic systems can be synchronized using the SMC technique. The switching surface and its controller design are developed in detail. Simulation results show the feasibility of a chaotic secure communication system based on the synchronization of the Lorenz circuits via the proposed SMC.

Unknown Input and Disturbance Output Reconstruction for a Class of Linear Systems

2013 ◽  
Vol 340 ◽  
pp. 497-501
Author(s):  
Jun Qi Yang ◽  
Yan Tao Chen ◽  
Rui Wang
Keyword(s):  
Numerical Simulation ◽  
Linear Systems ◽  
Sliding Mode ◽  
Sliding Mode Observer ◽  
Unknown Input ◽  
Reconstruction Method ◽  
Output Vector ◽  
First Order ◽  
Augmented System ◽  
System Output

This paper considers the problems of simultaneous unknown input and disturbance output reconstruction for linear systems. By introducing an augmented vector, an augmented system is constructed. Then, a robust sliding mode observer is proposed to not only estimate the states of the system but also reconstruct the disturbance output vector. A first-order robust exact differentiator which can be used to produce the estimates of the system output derivatives is considered. Based on the robust sliding mode observer and the estimates of the output derivatives, a kind of simultaneous unknown input and disturbance output reconstruction method is developed. Finally, a numerical simulation example is used to show the effectiveness of the proposed methods.

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