讲座人简介：

郭宝珠，中国科学院数学与系统科学研究院研究员。曾任南非金山大学计算与应用数学讲座教授。主要研究领域为分布参数系统控制理论，包括控制偏微分系统的非同位设计，Riesz 基理论，偏微分系统的适定正则性，最优控制的数值解等。近年的工作主要是自抗扰控制理论及其在不确定偏微分系统控制系统的镇定与输出跟踪中的应用。在Springer-Verlag控制工程序列出版两部专著："Stability and Stabilization of Infinite Dimensional Systems with Applications (1999)"; "Control of Wave and Beam PDEs：The Riesz Basis Approach (2019) ". 在Wiley & Sons 出版专著："Active Disturbance Rejection Control for NonlinearSystems: An Introduction".

讲座简介：

In this talk, I will consider output tracking problem for an Euler-Bernoulli beam system under system structure uncertainties and external disturbances in all channels, where most of the disturbances are non-collocated with control. The performance output and control are located on the same boundary but the output is very special in the sense that the whole system is not well-posed: the transfer function along the real axis is unbounded. Nevertheless, we can still design a robust tracking error feedback control to achieve output tracking under the guidance of the internal model principle. We first design a state feedback control by simply solving regulator equation. For some specially chosen frozen uncertainties, an observer in terms of tracking error only is designed. A dynamic tracking error feedback control is then designed based on the observer, which is shown to be line with the internal model principle and is further shown to be robust to uncertainties. The stability and convergence are then concluded and the numerical simulations validate the results.