Referring to chaos synchronization, it can be noticed the lack of a general approach enabling any type of synchronization to be achieved. Similarly, there is the lack of a unified method for synchronizing both continuous-time and discrete-time systems via a scalar signal. This paper and the companion one  aim to bridge these two gaps by presenting a novel general unified framework to synchronize chaotic systems via a scalar signal. This paper focuses on discrete-time systems, while the companion paper  deals with continuous-time systems. Herein, the observer-based synchronization framework exploits a structural condition related to the controllability matrix of the error system in order to achieve any type of dead-beat synchronization (i.e., exact synchronization in finite time) via a scalar synchronizing signal. Examples of different types of synchronization are illustrated, with the aim to show the capabilities of the conceived approach. © 2017 IEEE.
Ouannas A., Grassi G., Azar A.T., Radwan A.G., Volos C., Pham V.-T., Ziar T., Kyprianidis I.M., Stouboulos I.N.
Chaotic systems; Continuous time systems; Digital control systems; Synchronization; Chaos synchronization; Controllability matrices; Discrete – time systems; Discrete-time chaotic systems; Observer-based synchronizations; Scalar synchronizing signals; Structural condition; Synchronization control; Discrete time control systems
2017 6th International Conference on Modern Circuits and Systems Technologies, MOCAST 2017, Art. No. 7937628, Doi: 10.1109/MOCAST.2017.7937628