講座名稱：Guaranteed state estimation techniques where time is essential

講座人：Thach N. Dinh 副教授

講座時間：9月3日15:00

講座地點：騰訊會議直播（ID:456 443 821 https://meeting.tencent.com/dm/vmDiHy9kXK6K?rs=25）

講座人介紹：

Thach N. Dinh 2011年獲得法國里昂研究所的自動化系統(tǒng)碩士學位。2014年獲得巴黎薩克雷大學博士學位。2015年至2016年為日本九州工業(yè)大學博士后研究員。 2016 年至 2017年，他在法國高等技術大學擔任助理教授。從 2017 年 9 月起為法國國立工藝學院的終身副教授。Thach N. Dinh主要研究領域為控制理論和應用、正系統(tǒng)、狀態(tài)估計、區(qū)間觀測器、輸出反饋等。

講座內容：

In applied mathematics, using time may help to overcome obstacles. The most famous illustration of this remark is offered by systems which do not satisfy the celebrated Brockett's necessary stabilizability conditions, but nonetheless are asymptotically stabilizable by time-varying state feedbacks. There are other instances: we will review two distinct problems where using time cannot be avoided.

The Lecture 1 (1 hour) relies on the design of time-varying changes of coordinates, which transform a linear system into a nonnegative one. This design splits up into two steps. Firstly, we recall that any real matrix admits a real Jordan canonical form. Secondly, we transform systems in Jordan canonical form into positive systems. Consequently, it is shown that, for any time-invariant exponentially stable discrete time linear system with additive disturbances, time-varying exponentially stable discrete-time interval observers can be constructed.

The Lecture 2 (1 hour) proposes new design techniques of deadbeat observer and fixed-time interval estimator incorporating an artificial constant delay. The key idea relies on the use of past values of the input and the output of the studied system. No information on the bound of the initial conditions was needed in our development and we provide exact values of the solutions in the absence of disturbances and a lower and upper bounds when the disturbances are present after a fixed time which can be tuned.

主辦單位：機電工程學院