Chaos synchronization and chaos-based secure communication based on new unknown input observer approach

Author(s):  
Jiancheng Zhang ◽  
Fanglai Zhu
Author(s):  
Ramzi Ben Messaoud

In this note, we consider a new unknown input observer design for nonlinear systems. The main idea consists in determining the estimation error and mean value theorem parameters ([Formula: see text]) to introduce them into proposed observer structure. This process is designed on the basis of mean value theorem and genetic algorithm. The stability study relies on the use of a classical quadratic Lyapunov function. The observer’s gains are determined systematically. For the validation of theoretical development proposed in this paper, we consider two practical realizations that deals with the secure communication problem.


2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
T. Youssef ◽  
M. Chadli ◽  
H. R. Karimi ◽  
M. Zelmat

This paper presents an unknown input Proportional Multiple-Integral Observer (PIO) for synchronization of chaotic systems based on Takagi-Sugeno (TS) fuzzy chaotic models subject to unmeasurable decision variables and unknown input. In a secure communication configuration, this unknown input is regarded as a message encoded in the chaotic system and recovered by the proposed PIO. Both states and outputs of the fuzzy chaotic models are subject to polynomial unknown input withkth derivative zero. Using Lyapunov stability theory, sufficient design conditions for synchronization are proposed. The PIO gains matrices are obtained by resolving linear matrix inequalities (LMIs) constraints. Simulation results show through two TS fuzzy chaotic models the validity of the proposed method.


IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 30750-30760
Author(s):  
Van Du Phan ◽  
Cong Phat Vo ◽  
Hoang Vu Dao ◽  
Kyoung Kwan Ahn

Author(s):  
V. Kamatchi Kannan ◽  
R. Srimathi ◽  
V. Gomathi ◽  
R. Valarmathi ◽  
L.T. PrithiEkammai

2009 ◽  
Vol 23 (32) ◽  
pp. 5949-5964 ◽  
Author(s):  
XINGYUAN WANG ◽  
MINGJUN WANG

This paper studies chaos synchronization via unidirectional coupling. The self-synchronization of Lorenz systems, modified coupled dynamos systems and hyperchaotic Chen systems is studied by three methods: the Lyapunov function method, the global synchronization method and the numerical calculation of the largest Lyapunov exponent method. In regard to application to communication, we show that via transmitting single signal the synchronization of the drive system and the response system can be achieved. An example of applying self-synchronization of hyperchaotic Chen systems to chaotic masking secure communication is presented in this paper. Simulation results show the effectiveness of the method.


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