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.

基于忆阻器的混沌振荡器由于其有趣的特性而经常被选择用于安全通信。在基于混沌的安全通信应用中，同步是一个核心问题。文献中提出的大多数同步方法都是渐近的。在实践中，希望在用户预定义的时间建立同步。本文提供了过滤扩展高增益观测器设计的新进展，该观测器专用于在受信道噪声影响的基于主从的安全通信过程中使用的忆阻器混沌系统的规定时间同步。所提出的规定时间扩展滤波高增益观测器是在时间相关坐标变换的基础上构建的，该变换基于消除初始条件对同步时间的影响的调制函数。对数值示例进行的模拟说明了所提出方法的效率。