【1月11日】ADRC and its application to Mittag-Leffler stabilization of time  fractional diffusion equation with boundary control

2018-12-28

时间:2019/1/11 14:00-15:30

地点:2号学院楼331


讲人:周华成

主讲人简介:

中南大学特聘教授。主要从事偏微分方程控制理论研究与抗扰控制研究。曾获中国科学院院长特别奖、中国科学院数学与系统学院院长特别奖, 学术成果发表在《IEEE Trans. Automat. Control》、《Automatica》,《SIAM J. Control Optim.》,等享有较高国际学术声誉的数学和控制领域主流刊物。担任IEEE TAC, Automatica, IET CTA, 《中国科学:信息科学》,IEEE TIE, IEEE TCST,TIMC, FCAA, AMC等30余个杂志的审稿人并多次被多个期刊(如SCL,JFI等)评为杰出审稿人(outstanding reviewer)

活动内容摘要:

This talk will give a brief introduction to active disturbance rejection control (ADRC). 

We start its main idea and two main parts,namely, extended state observer and extended state based feedbackfor lumped parameter systems. Then we discuss its application toMittag-Leffler stabilization of unstable time fractional diffusion equa -tion with boundary control matched disturbance. By using ADRC, two auxiliarysystemsareconstructed. One is to separatethe disturbance from the originalsystem to  a Mittag-Leffler stable system,  and the other  is to estimate the disturbance finally. The proposed control law compensatesthe disturbance using its estimation and stabilizes system by the statefeedback. The closed loop is shown to be Mittag-Leffler stable and the constructed auxiliary systems in the closed loop are proved to be bounded. This is the first time for ADRC to be applied to a system described by the fractional partial differential equation without using the high gain.