Interval observer design and control of uncertain non-homogeneous heat equations

被引：21

作者：

Kharkovskaia, Tatiana ^{[2
]}

Efimov, Denis ^{[1
]}

Fridman, Emilia ^{[3
]}

Polyakov, Andrey ^{[1
]}

Richard, Jean-Pierre ^{[1
]}

机构：

[1] Univ Lille, Cent Lille, CNRS, INRIA,CRIStAL,UMR 9189, F-59000 Lille, France

[2] ITMO Univ, 49 Av Kronverkskiy, St Petersburg 197101, Russia

[3] Tel Aviv Univ, Sch Elect Engn, IL-69978 Tel Aviv, Israel

来源：

AUTOMATICA | 2020年 / 111卷 / 111期

基金：

以色列科学基金会;

关键词：

STATE ESTIMATION; SYSTEMS; PDE; STABILIZATION; ESTIMATOR;

D O I：

10.1016/j.automatica.2019.108595

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 problems of state estimation and observer-based control for heat non-homogeneous equations under distributed in space point measurements are considered. First, an interval observer is designed in the form of Partial Differential Equations (PDEs), without Galerkin projection. Second, conditions of boundedness of the interval observer solutions with non-zero boundary conditions and measurement noise are proposed. Third, the obtained interval estimates are used to design a dynamic output-feedback stabilizing controller. The advantages of the PDE-based interval observer over the approximation-based one are clearly shown in the numerical example. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页数：11

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