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中文摘要：
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.
英文摘要：
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.
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