摘要：Active disturbance rejection (ADRC) is a new emerging control technology which is used to deal with large internal uncertainties and external disturbances for control systems. Its effectiveness has been witnessed by many numerous engineering applications. Basically, ADRC is composed of three parts. The first part is the tracking differentiator (TD) which is used to estimate the derivatives of the reference signals. The second part is the extended state observer (ESO) which is used to estimate both state and the total disturbance that includes internal uncertainty and external disturbance. The third part is about ESO based feedback control, something like the separation principle in control theory.

In this talk, I will introduce some established theoretical results of ADRC for ODEs and its extension to some PDEs.

简介：郭宝珠，中国科学院数学与系统科学研究院研究员。1999年中国科学院百人计划入选者，2003年国家杰出青年基金获得者，2009年首届山西百人计划专家。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 Nonlinear Systems: An Introduction".