自适应分数阶Lur’e混沌系统同步在保密通信的研究

Abstract

本文基于Lyapunov-Krasovskii稳定性理论，线性矩阵不等式及自由权矩阵方法，设计了基于自适应数据的时滞混沌系统Lur’e系统的分数同步，提出了一种新的时滞相关指数同步判据，并设计了相应的自适应数据控制器。经Matlab仿真验证设计的控制器使得误差系统以较快的速度到达平衡点。本文研究的基于自适应时滞混沌Lur’e系统的保密通信研究可拓展应用到时滞Chua电路等，具有推广性。 Based on the Lyapunov-Krasovskii stability theory, linear matrix inequality and free weight matrix method, the fractional synchronization of Lur’e system with time-delay chaotic system based on adaptive data is designed. A new delay-dependent exponential synchronization criterion is proposed. And the corresponding adaptive data controller is designed. The controller designed by Matlab simulation verifies the error system to reach the equilibrium point at a faster speed. The research in secure communication, which is based on the adaptive time-delay chaotic Lur'e system, can be applied to the time-delay Chua circuit and can be extended to other fields.