Fixed-time synchronization of memristor chaotic systems via a new extended high-gain observer

Abstract

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.