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

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

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1016/j.automatica.2019.108595

Title :

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

Author(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]

Journal title :

Automatica

Publisher :

Elsevier

Publication date :

2020-01

ISSN :

0005-1098

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

Collections :

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

Source :

Harvested from HAL

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