中文摘要：

为了研究一类单边Lipschitz非线性系统的脉冲观测器设计方法,构造了与脉冲发生时间序列相关的时变Laypunov函数分析相应观测误差系统的稳定性,结合线性矩阵不等式技术和单边Lipschitz条件,得到了的观测器指数收敛的充分条件和观测器增益矩阵的求解方法。研究结果表明：时变Laypunov函数能有效处理脉冲发生对误差系统稳定性的影响,而基于单边Lipschitz条件设计的观测器比基于传统的Lipschitz条件设计的观测器具有更广的应用范围。

英文摘要：

To investigate the observer design method for a class of one-sided Lipschitz nonlinear system,an impulsive instant-related time varying Lyapunov function is constructed to analyze the stability of the error system,combining linear matrix inequalities technology and one-sided Lipschitz condition,sufficient condition for the exponentially converge of the observer and the solution of the observer gain matrix are then obtained. The results show that the effect of impulsive on stability of error system can be dealt with effectively by using the time varying Lyapunov function,and the one-sided Lipschitz condition based observer possesses wider application scope compared to the traditional Lipschitz condition based observer.