基于模糊观测器混沌系统的广义投影同步

Generalized Projective Synchronization of Chaotic Systems Based on Fuzzy Observer

基于混沌系统的T-S模糊模型,提出了混沌系统广义投影同步问题的控制方法。该方法利用线性矩阵不等式技术,把混沌系统的广义投影同步问题设计为模糊状态观测器设计问题,用Matlab软件包可以很容易对线性矩阵不等式求解。该方法可以通过适当选取控制增益对响应系统的动力学比例尺度任意拉伸或压缩。通过对Lorenz系统的数值模拟,表明了该方法的有效性。

Based on the Tagaki-Sugeno （T-S）fuzzy model of chaotic systems, a control method of the generalized projective synchronization problem of chaotic systems is proposed. The generalized projective synchronization problem is allowed to be expressed as a fuzzy state observer design in terms of linear Matrix inequalities, which can be solved numerically using readily available Matlab software packages. The scale of the dynamics of the response system can be arbitrarily amplified or reduced through selecting suitable control gains. The numerical simulation results of the Lorenz system show the effectiveness of the proposed method.