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在系统参数和系统输出同时受扰的情形下,基于积分观测器的方法,实现了一类不确定混沌系统的同步.首先利用Lyapunov稳定性理论,给出了混沌系统同步所需的充分条件,此条件可以快速地实现驱动系统与响应系统的同步,然后结合Schur补定理,将此条件转化为求解线性矩阵不等式组.最后,借助Matlab软件包中的LMI工具箱,通过对受扰MLC电路系统的同步数值仿真,证实了该方法的有效性.
The synchronization of a class of uncertain chaotic systems based on the integral observer is achieved under the condition of simultaneous disturbance of system parameters and system output. First, the sufficient conditions for the synchronization of chaotic systems are given by using Lyapunov stability theory. This condition can quickly realize the synchronization between the driving system and the response system, and then combine this condition with the Schur complement theorem into solving the linear matrix inequality group.Finally, with LMI toolbox in the Matlab software package, The simulation results show that this method is effective.