SQCF一类混沌系统的高增益观测器同步方法

Synchronization for a class of SQCF-like chaotic system based on high-gain observer

摘要:

摘要：针对SQCF模型类的不确定混沌性系统，基于高增益观测器的方法，讨论了混沌同步设计方法。通过在观测器中加入滑模项，来抑制未知干扰的影响，以此设计了一个鲁棒高增益观测器。高增益的选取基于一代数Riccati方程的解，为此讨论了Riccati方程解的存在性。设计滑模增益，使系统达到并保持在滑模面上。基于坐标变换和Lyapunov稳定性理论，证明了同步的收敛性。针对一个SQCF混沌系统进行了仿真设计，仿真结果表明了方法的有效性。

Abstract:

Abstract: This paper deals with the problem of synchronization of a class of SQCF-like chaotic system based on high-gain observer. By imposing a sliding mode term to suppress the unknown disturbance, a robust high-gain observer can be realized. The high-gain matrix of the proposed observer depends on the solution of an algebraic Riccati equation, so the existence of the solution for this equation is discussed. The sliding-mode gain is designed to ensure that the sliding mode can be reached and maintained. The convergence of the synchronization is proved based on a coordinate transformation and the Lyapunov theory. Finally some simulation results for SQCF chaotic system demonstrate the effectiveness of the proposed method.