Interval observers for PDEs: approximation approach

被引：2
|
作者：
Kharkovskaia, Tatiana [1 ,2 ]
Efimov, Denis [1 ,3 ]
Polyakov, Andrey [1 ,3 ]
Richard, Jean-Pierre [1 ,3 ]
机构：
[1] Ecole Cent Lille, CRIStAL, UMR CNRS 9189, BP 48, F-59651 Villeneuve Dascq, France
[2] ITMO Univ, Dept Control Syst & Informat, 49 Kronverkskiy Av, St Petersburg 197101, Russia
[3] Inria, Non A Team, Parc Sci Haute Borne,40 Av, F-59650 Villeneuve Dascq, France
来源：
IFAC PAPERSONLINE | 2016年 / 49卷 / 18期
关键词：
Interval observers; PDE; Finite-element approximation; LINEAR POSITIVE SYSTEMS; LPV SYSTEMS; STATE ESTIMATION; L-1;
D O I：
10.1016/j.ifacol.2016.10.283
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of interval state estimation is studied for systems described by parabolic Partial Differential Equations (PDEs). The proposed solution is based on a finite-element approximation of PDE, with posterior design of an interval observer for the obtained ordinary differential equation. The interval inclusion of the state function of PDE is obtained using the estimates on the error of discretization. The results are illustrated by numerical experiments with an academic example. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码：915 / 920
页数：6
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