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Boundary time-varying feedbacks for ...
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Document type :
Article dans une revue scientifique
DOI :
10.1016/j.automatica.2019.02.013
Title :
Boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction-diffusion systems
Author(s) :
Espitia, Nicolas [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Polyakov, Andrey [Auteur] refId
Finite-time control and estimation for distributed systems [VALSE]
Efimov, Denis [Auteur] refId
Finite-time control and estimation for distributed systems [VALSE]
Perruquetti, Wilfrid [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Journal title :
Automatica
Pages :
398-407
Publisher :
Elsevier
Publication date :
2019-05-01
ISSN :
0005-1098
English keyword(s) :
generalized Laguerre polynomials
fixed-time stabilization
backstepping method
time-varying feedbacks
Linear reaction-diffusion systems
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
In this paper, the problem of fixed-time stabilization of constant-parameter reaction-diffusion partial differential equations by means of continuous boundary time-varying feedbacks is considered. Moreover, the time of ...
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In this paper, the problem of fixed-time stabilization of constant-parameter reaction-diffusion partial differential equations by means of continuous boundary time-varying feedbacks is considered. Moreover, the time of convergence can be prescribed in the design. The design of time-varying feedbacks is carried out based on the backstepping approach. Using a suitable target system with a time varying-coefficient, one can state that the resulting kernel of the backstepping transformation is time-varying and rendering the control feedback to be time-varying as well. Explicit representations of the kernel solution in terms of generalized Laguerre polynomials and modified Bessel functions are derived. The fixed-time stability property is then proved. A simulation example is presented to illustrate the main results.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
  • Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Source :
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