SQCF一类混沌系统的高增益观测器同步方法

针对SQCF(simplest quadratic chaotic flow)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,仿真结果表明了该方法的有效性.

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

This paper deals with the problem of synchronization of a class of simplest quadratic chaotic flow (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.