In this paper, the active disturbance rejection control (ADRC) approach, an emerging control approach, is applied to output-feedback stabilization for uncertain nonlinear systems disturbed by external stochastic disturbance. Here the disturbance has the form of an uncertain system driven by both Brownian motion and Lévy noises. Firstly, for the sake of estimation for all the states and stochastic disturbance, an efficient extended state observer (ESO) is designed. Then an ESO-based output-feedback control approach and the stability in the mean squared sense are finally developed, respectively. A numerical simulation is also presented to demonstrate the effectiveness of our approach.

在本文中，主动扰动抑制控制（ADRC）方法是一种新兴的控制方法，用于不确定性非线性系统受外部随机扰动干扰的输出反馈稳定化。在这里，扰动具有由布朗运动和列维噪声共同驱动的不确定系统的形式。首先，为了估计所有状态和随机干扰，设计了一种有效的扩展状态观测器（ESO）。然后，分别开发了基于ESO的输出反馈控制方法和均方根意义上的稳定性。还提供了数值模拟，以证明我们方法的有效性。