報告人: 郭寶珠 研究員

講座日期：2020-10-26

講座時間：15:00

報告地點：長安校區(qū) 數(shù)學與信息科學學院學術交流廳

主辦單位：數(shù)學與信息科學學院

講座人簡介：

郭寶珠，中國科學院數(shù)學與系統(tǒng)科學研究院研究員，2003年國家杰出青年基金獲得者，曾任南非金山大學計算與應用數(shù)學講座教授。主要研究領域為分布參數(shù)系統(tǒng)控制理論，包括控制偏微分系統(tǒng)的非同位設計，Riesz 基理論，偏微分系統(tǒng)的適定正則性，最優(yōu)控制的數(shù)值解等。近年的工作主要是自抗擾控制理論及其在不確定偏微分系統(tǒng)控制系統(tǒng)的鎮(zhèn)定與輸出跟蹤中的應用。在Springer-Verlag控制工程序列出版兩部專著："Stability and Stabilization of Infinite Dimensional Systems with Applications (1999)"; "Control of Wave and Beam PDEs：The Riesz Basis Approach (2019) ". 在Wiley & Sons 出版專著："Active Disturbance Rejection Control for NonlinearSystems:  An Introduction".

講座簡介：

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.