Abstract
This paper aims to present secure communication based on master and slave Lorenz chaotic systems. To apply a form of the linear synchronization control method, the mathematical models of master and slave systems were reformed into Takagi-Sugeno (T-S) fuzzy systems. First, the Lorenz chaotic system was completely changed to the form of the T-S fuzzy model with two sublinear systems and two boundary fuzzy membership functions. Second, a newly adaptive disturbance observer (ADOB) was proposed with a high convergent speed for the synchronization system, which was based on the basic nonlinear disturbance observer. Third, adaptive sliding-mode control (ASMC) has been constructed to synchronize the master and slave systems of a secure communication system. The stability of the proposed control algorithms was shown by solving the Lyapunov condition with the support of Young's inequality. The synchronization of two nonidentical chaotic Lorenz systems was utilized to encrypt and decrypt the data. Transmitted and decrypted signals are used to show that the proposed algorithms are adequate for the secure communication system. To confirm the originality and power of the proposed algorithms, secure communication between two computers was implemented perfectly through an internet router and electronic circuit communication scenarios.
Highlights
In recent years, the 4.0 industrial revolution has taken over all manufacturing processes in the world
Motivated by the weak points of the number of adaptive disturbance observers and adaptive synchronization control, this paper proposes synthetic adaptive fuzzy disturbance observer and sliding-mode control
The structure of this section is as follows: (a) The adaptive fuzzy disturbance observer is briefly introduced with the previous problem and our contributions. (b) The adaptive sliding-mode control (ASMC) with freedom from chatter is given. (c) A synchronization and stability analysis is represented to illustrate the effectiveness of the proposed method
Summary
The 4.0 industrial revolution has taken over all manufacturing processes in the world. Recent work [48] proposed feedback sliding-mode control and a norm observer connected in cascade to estimate the upper bound of the state variable for synchronizing unification of Lorenz and Chen systems. The achievements in those papers are benefit transmission the saw signal and the synchronization error values are small. 2. To reduce the problems of disturbance and uncertainty effects on the secure communication system, an adaptive fuzzy disturbance observer with new exponential gain was constructed to delete perturbation values of both sides of the master and slave systems.
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