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

Kharkovskaia, Tatiana; Efimov, Denis; Fridman, Emilia; Polyakov, Andrey; Richard, Jean-Pierre

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1016/j.automatica.2019.108595

Titre :

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

Auteur(s) :

Kharkovskaia, Tatiana [Auteur]
National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] [ITMO]
Efimov, Denis [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Fridman, Emilia [Auteur]
Department of Electrical Engineering
Polyakov, Andrey [Auteur]

Finite-time control and estimation for distributed systems [VALSE]
Richard, Jean-Pierre [Auteur]

Finite-time control and estimation for distributed systems [VALSE]

Titre de la revue :

Automatica

Éditeur :

Elsevier

Date de publication :

2020-01

ISSN :

0005-1098

Discipline(s) HAL :

Sciences de l'ingénieur [physics]/Automatique / Robotique

Résumé en anglais : [en]

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 ...
Lire la suite >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.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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