High-gain Observer-based Output Feedback Control with Sensor Dynamic Governed by Parabolic PDE

被引:0
作者
Ahmed-Ali, Tarek [1 ]
Lamnabhi-Lagarrigue, Francoise [2 ]
Khalil, Hassan K. [3 ]
机构
[1] Normandie Univ, ENSICAEN, LAC EA 7478, F-14000 Caen, France
[2] Univ Paris Saclay, CNRS, Cent Supelec, Univ Paris Sud, F-91192 Gif Sur Yvette, France
[3] Michigan State Univ, Dept Elect & Comp Engn, E Lansing, MI 48824 USA
来源
IFAC PAPERSONLINE | 2020年 / 53卷 / 02期
关键词
Output feedback; High-gain observers; Cascade ODE-PDE systems; STABILIZATION; DESIGN;
D O I
10.1016/j.ifacol.2020.12.1106
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper it is proposed to extend the result described in Khalil and Praly (2014) and the references therein, regarding the high-gain observer-based nonlinear control to the case of systems with diffusion sensor dynamic. Based on some usual hypotheses, we provide sufficient conditions involving the high-gain parameter and the length on the PDE sensor. In fact it is brought into light an explicit trade off between them: the larger the observer gain, the smaller the length of the PDE sensor needs to be. The stability analysis of the closed loop is based on a Lyapunov functional. Copyright (C) 2020 The Authors.
引用
收藏
页码:5034 / 5038
页数:5
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