In this paper, we consider performance output tracking for a one dimensional Euler–Bernoulli beam equation with boundary moment control and unmatched internal uncertainty and external disturbance. For such system, the reference Feng and Guo (2017) firstly studied the active disturbance rejection control (ADRC) problem. We design an infinite-dimensional disturbance estimator to estimate the total disturbance (internal uncertainty and external disturbance) and the system state simultaneously. A servomechanism generated by the reference signal is designed based on the estimated total disturbance. We design an output feedback control law such that the performance output signal tracks the reference signal and all the signals of closed-loop system are bounded. Some illustrative simulations are presented.

在本文中，我们考虑一维Euler–Bernoulli梁方程的性能输出跟踪，该方程具有边界矩控制和无与伦比的内部不确定性和外部干扰。对于这样的系统，参考文献Feng和Guo（2017）首先研究了主动干扰抑制控制（ADRC）问题。我们设计了一个无穷维干扰估计器，以同时估计总干扰（内部不确定性和外部干扰）和系统状态。基于估计的总干扰，设计参考信号产生的伺服机构。我们设计了一种输出反馈控制律，以使性能输出信号跟踪参考信号，并限制闭环系统的所有信号。提出了一些说明性的模拟。