主题:  ADRC and its application to Mittag-Leffler stabilization of time fractional diffusion equation with主讲人:  周华成地点:  松江校区2号学院楼331理学院报告厅时间:  2019-01-11 14:00:00组织单位:   理学院

 报告人简介：周华成，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，其多篇学术成果发表在《IEEE Trans. Automat. Control》、《Automatica》，《SIAM J. ControlOptim.》，《J. Differential Equations》，《Eur. J. Control》等有较高国际学术声誉的数学和控制领域主流刊物上。担任IEEE TAC，Automatica，《中国科学:信息科学》，IEEE TIE，IEEE TCST等30余个杂志的审稿人，多次被多个期刊(如SCL，JFI等)评为杰出审稿人(Outstanding Reviewer)。

 内容摘要：This talk will give a brief introduction to active disturbance rejection control (ADRC). We start its main idea and twomain parts, namely, extended state observer and extended state based feedbackfor lumped parameter systems. Then we discuss its application to Mittag -Leffler stabilization of unstable time fractional diffusion equation with boundary control matched disturbance. By using ADRC, two auxiliary systems are constructed. One is to separate the disturbance from the original system to aMittag - Leffler stable system, and the other is to estimate the disturbance finally. The proposed control law compensates the disturbance using its estimation and stabilizes system by the state feedback. The closed loop isshown to be Mittag - Leffler stable and the constructed auxiliary systems inthe closed loop are proved to be bounded. This is the first time for ADRC to beapplied to a system described by the fractional partial differential equation without using the high gain. In this talk we consider the initial-boundary value problem for a Keller – Segel – Navier - Stokes system in a bounded domainΩ ⊂ R ^N (N =2, 3) with smooth boundary.For the 2D case, we shall prove that any arbitrarily small algebraic saturation effect in the chemo tactic sensitivity at large densities is sufficient to ruleout any blow-up phenomenon. In the 3D case setting, we shall establish the existence of global weak solutions under some suitable saturation assumption of the sensitivity.

报告主持：寇春海 教授

撰写：寇春海