有限时间时滞混沌同步及其FPGA 实现

时滞混沌系统作为一类新型系统，已成为力学领域和控制领域的交叉研究热点。利用混沌信号进行保密通信时, 系统同步是关键问题。本项目拟基于Lyapunov-Krasovskii 泛函和有限时间稳定性理论，采用逐步设计（stepping design）方法研究时滞混沌系统有限时间同步问题。通过对同步误差模型的适当变换，构造出具有一定结构特性的级联系统。结合时滞级联系统的稳定性理论，建立时滞混沌系统的同步条件，实现时滞混沌系统的渐近同步；再结合有限时间稳定性理论和终端滑模控制方法，进一步实现时滞混沌系统的有限时间同步。最后，在时滞混沌同步理论研究基础上，利用DSP Builder 设计实现时滞混沌同步的新方法，并在FPGA（Field Programmable Gate Array）上实现。

As a new class of nonlinear systems, delay chaotic systems have become a hot topic in the field of mechanics and control. When chaotic signals are modulated in secure communication process, system synchronization is a key issue. Based on Lyapunov-Krasovskii function and finite-time stable theory, this project is planning to study finite-time synchronization problem for time-delay chaotic systems via stepping design method. A cascade system with certain structural characteristics is constructed from a proper transformation of the synchronization error model. Combined with the stable theory of the delay cascade system, the synchronization condition for delay chaotic systems will be presented to realize asymptotical synchronization. After that, finite-time chaos synchronization for delay chaotic system will be realized via finite time stability theory and the terminal sliding mode control method. Finally，based on the above synchronization theory of the delay chaotic systems, we will design new realization scheme via DSP Builder and implement it on FPGA（Field Programmable Gate Array）.