Abstract
•A new fixed-time filtered extended high-gain observer is developed in the presence of channel noise.•The settling time of the synchronization is preselected in advance uniformly with respect to any initial states. The modulating function based coordinates transformation allows to annihilate the effect of initial conditions on the synchronization process.•Only a single channel with a single signal is used to achieve the synchronization.•Theoretical results are established for both the unfiltered and filtered observers. These results demonstrate the immediate convergence in a predefined-time of observers using the Lyapunov stability theory.•The efficiency of proposed synchronization methods is theoretically and numerically demonstrated in a master-slave based secure communication protocol.
Memristor based chaotic oscillators are often chosen for secure communication owing to their interesting feature. In chaos-based secure communication applications, synchronization is a central issue. Most of synchronization methods proposed in the literature are asymptotic. In practice, it is desirable that synchronization be established in a user predefined time. This paper provides new developments in the design of filtered extended high-gain observer dedicated for prescribed-time synchronization of memristor chaotic systems used in a master-slave based secure communication process subject to channel noise. The proposed prescribed-time extended filtered-high gain observer is constructed on the basis of a time-dependent coordinates transformation based on modulating functions which annihilate the effect of initial conditions on the synchronization time. Simulations performed on a numerical example illustrate the efficiency of the proposed approach.