In this paper, a nonlinear impulsive observer for a class of Lipschitz nonlinear systems with time-varying uncertainties is investigated. The observer uses discrete time measurements of the system output. A time-varying Lyapunov function is used to show that, under sufficient conditions based on linear matrix inequalities, the estimation error is globally practically stable at the origin. The dynamic observer is tested on an example to demonstrate the effectiveness of the proposed approach.

中文翻译：

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一类具有时变不确定性的非线性Lipschitz系统的脉冲观测器设计

本文研究了一类具有时变不确定性的Lipschitz非线性系统的非线性脉冲观测器。观察者使用系统输出的离散时间测量。时变Lyapunov函数用于表明，在基于线性矩阵不等式的充分条件下，估计误差在原点处总体上是稳定的。对动态观察者进行了示例测试，以证明所提出方法的有效性。