Synergetic observer of state variables in problems of reconstruction of systems with chaotic dynamics

Kolesnikov, A. A.; Mushenko, Alexey S.; Dzuba, Julia N.; Zolkin, Alexander D.

doi:10.1109/ctsys.2017.8109487

Cited by 2 publications

(3 citation statements)

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“…This idea was repeatedly considered in the work of various previous authors, however the implementation of this approach turned out to be difficult due to a number of problems with decryption of such a protected signal on the receiver side. A general description of the use of synergetic observers in systems with chaotic dynamics is given by Kolesnikov et al [39], and the procedure for a single-channel system was presented in previous research [42,43]. In this regard, the present study, which allows developing a two-channel reconstruction technique for two useful signals masked by chaotic oscillations on the receiving side, can provide a practical implementation of a very promising and practical approach for developing new communication systems for transmitting signals with a chaotic carrier.…”

Section: Discussionmentioning

confidence: 99%

“…Our synergetic observer was based on the method of analytical design of an aggregated regulator (ADAR) that was first presented by Kolesnikov [41] and later extended to many applications in several papers and studies (e.g., [38,40]) within a framework of synergetic control theory. In previous research [42,43], a synergetic observer application for a single-channel system with a chaotic carrier was shown. In this paper, a new design procedure is presented that works with a system employing two-channel transmission of useful signals.…”

Section: General Methodologymentioning

confidence: 99%

“…The promising one is a model-oriented approach to modeling when the system created in MATLAB/Simulink is transformed into code in a high-level language (for example, C ++), and then it is executed as a separate application program on a standard PC or compatible embedded system. We used this approach when modeling a single-channel data transmission system with a chaotic carrier created in our earlier work [43].…”

Section: Example Of Software Implementation On a Standard Pc Without mentioning

confidence: 99%

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A Data Secured Communication System Design Procedure with a Chaotic Carrier and Synergetic Observer

Mushenko

Dzuba²,

Nekrasov

et al. 2020

Electronics

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We have considered the problem of secure communication by means of chaotic carrier communication channels. Data protection is provided if the signal in the communication channel looks like a stochastic or noisy one, i.e., by the steganography property, and also by using advanced and secured approaches of mixing a useful signal into a chaotic carrier. The problem is to find effective and efficient techniques for useful signal reconstruction at the receiver side. We firstly use a synergetic nonlinear mathematical observer to recover the two useful signals transmitted simultaneously over a single communication channel. Compared to a known observer, the synergetic one operates with initial nonlinear models, i.e., it may be applied directly to chaotic systems. In that system structure, we consider the useful signals as unobservable variables and estimate them by the given model of a chaotic generator. A chaotic data transmission system with two channels is demonstrated; the presented mathematical procedure explains the steps of synergetic two-channel observer design. Computer simulation results prove the viability of our approach. The proposed data transmission scheme and the observer design procedure provide effective transmission and reconstruction of informational signals. Reconstruction error is up to approximately 25% but has a very short pulses shape and could be eliminated with further analog or digital filtering algorithms. As an example application, simulation of image transmission and recovery is demonstrated. The study's results may be used as a basis for further research into secure data transmission system design.Electronics 2020, 9, 497 2 of 24 Related Works and Methods OverviewThe overall issues and approaches of chaotic communications when using chaotic modulation schemes were briefly described by Riaz and Ali [21]. According to their study [21], the most common modulation schemes are: chaos shift keying (CSK); differential chaos shift keying (DCSK); additive chaos modulation (ACM); and multiplicative chaos modulation (MCM). CSK and DCKS provide secure communication by shifting between two identical or different chaotic generators. ACM and MCM provide mixing of the useful signal directly into the mathematical model of a chaotic generator in a linear (additive) or nonlinear (multiplicative) manner. In all of these schemes, one of the data secure factors is a chaotic carrier signal frequency ten times greater than the useful signal frequency or more. ACM with a combination of MCM was explored by Kevin Short in the 1990s [22] in several Electronics 2020, 9, 497 3 of 24 papers, where he proves that this kind of combined modulation does not provide security for a 3rd order system. In addition, we note that using only MCM is a more secure approach due to nonlinear mixing of the useful signal and MCM as a secure scheme is thus widely used in much research as indicated below. Different approaches and applications of chaotic data communication systems design have been illustrated in several recent papers [23][2...

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Section: Discussionmentioning

confidence: 99%