基于线性反馈控制的分数阶混沌系统的Q-S同步研究

Study on Q-S Synchronization of Fractional-order Chaotic Systems Based on Linear Feedback Control

基于线性反馈控制和分数阶微分系统稳定性理论,研究了分数阶混沌系统的Q-S同步;首先给出了分数阶混沌系统Q-S同步的概念,然后以分数阶Liu系统为例,考虑了在给定状态观测函数情况下的分数阶Liu系统的Q-S同步;与现有文献中的其他控制策略相比,本文所采取的控制方法形式简单,成本低,易于实现;理论推导和数值仿真均证实了该方法的有效性。

This paper discusses Q-S synchronization of fractional-order chaotic systems based on linear feedback control and the stability theory of the fractional-order system.Concept of Q-S synchronization for fractional-order systems is introduced firstly,then fractional-order Liu system as an example is taken into consideration under the given observable variable functions.compared with other control methods in many existing literatures,the control scheme adopted in the paper is simple in configuration,economic and easy to implement.Theoretical analysis and numerical simulations are shown to demonstrate the validity of the proposed method.