Three-channel Synergetic State Observer for Data Transmission System with Chaotic Dynamics

Abstract

The paper presents the first developed procedure of state variables three-channel observer design for a nonlinear dynamic system. The state observer allows to estimate the values of parameters that are not available for direct measurement. Here, the observer is used to build a data secure communication system with a chaotic carrier bearing signal. As a chaotic carrier generator, we use the model of the novel chaotic attractor. The data transmission system is implemented by nonlinear mixing of useful signals into parameters of the chaotic generator model on the transmitter side and by reconstructing the useful signals on the receiver side with the designed state observer. The introduction of the state observer into chaotic generator data transmission system provides the system implementation without the use of chaotic synchronization. We provide step-by-step general description for a synergetic state observer design as well as example of the chaotic carrier bearing signal observer design procedure along with closed-loop system computer simulation results.