Abstract
This paper is concerned with a novel secure data transmission design based on adaptive synchronization of master and slave unified chaotic systems. First, by introducing an augmented error state, an adaptive continuous sliding mode control (SMC) is derived to guarantee the synchronization of unified chaotic systems. Then, the secret message embedded in the master chaotic system can be transmitted from transmitter to receiver. Different from previous works using discontinuous SMC, the undesired chattering phenomenon can be fully eliminated, and it becomes possible to precisely recover the embedded secret message at the receiver. Last, an example is given to illustrate the success of secure data transmission with the continuous SMC developed in this paper.
Highlights
Chaos responses have been found in the dynamics of various engineering fields since the well-known Lorenz chaotic system described the dynamics of the atmosphere was proposed [1]
Chaotic systems are with deterministic nonlinear dynamics to display the chaotic behavior
This study aims to design an adaptive chatteringfree sliding mode control (SMC) to ensure the synchronization for master-slave unified chaotic dynamical systems and achieve secure data transmission
Summary
Chaos responses have been found in the dynamics of various engineering fields since the well-known Lorenz chaotic system described the dynamics of the atmosphere was proposed [1]. In the recent works [25,26,27], the authors utilized adaptive backstepping sliding mode control to effectively eliminate the chattering and successfully completed the actual engineering system control Their methods need further research before they can be extended to directly solve the problems of chaotic synchronization and secure communication considered in this paper. This study aims to design an adaptive chatteringfree SMC to ensure the synchronization for master-slave unified chaotic dynamical systems and achieve secure data transmission. To remove the influence of chattering and accurately complete the secure data transmission, we introduced an augmented error state to derive an adaptive continuous SMC to guarantee the synchronization for master and slave unified chaotic systems without chattering.
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