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Synchronization of fractional-order discrete-time chaotic systems by an exact delayed state reconstructor: Application to secure communication

Djennoune Said, Bettayeb Maamar, Al-Saggaf Ubaid Muhsen

International Journal of Applied Mathematics and Computer Science

2019

Vol. 29, no. 1

179--194

This paper deals with the synchronization of fractional-order chaotic discrete-time systems. First, some new concepts regarding the output-memory observability of non-linear fractional-order discrete-time systems are developed. A rank criterion for output-memory observability is derived. Second, a dead-beat observer which recovers exactly the true state system from the knowledge of a finite number of delayed inputs and delayed outputs is proposed. The case of the presence of an unknown input is also studied. Third, secure data communication based on a generalized fractional-order Hénon map is proposed. Numerical simulations and application to secure speech communication are presented to show the efficiency of the proposed approach.

Remarks about DC motor control

Baranowski J., Długosz M., Mitkowski W.

Archives of Control Sciences

2008

Vol. 18, no. 3

289-322

This paper was motivated by known results in the electric motor control where classical control algorithms were verified in the experimental framework. We want to show, that the control theory offers more sophisticated control methods that await their practical implementation. Presented algorithms for both continuous and discrete control and state estimation give many possibilities of improvement in the field of electric drive control. Our results are illustrated with simulations, but with available technology (such as MATLAB/Simulink/RTWT) can be easily verified in practice.