Minimax Sliding Mode Control Design for ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Minimax Sliding Mode Control Design for Linear Evolution Equations with Noisy Measurements and Uncertain Inputs
Auteur(s) :
Zhuk, Sergiy [Auteur]
IBM Research - Ireland
Iftime, Orest [Auteur correspondant]
University of Groningen [Groningen]
Epperlein, Jonathan [Auteur]
IBM Research - Ireland
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
IBM Research - Ireland
Iftime, Orest [Auteur correspondant]
University of Groningen [Groningen]
Epperlein, Jonathan [Auteur]
IBM Research - Ireland
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Titre de la revue :
Systems and Control Letters
Éditeur :
Elsevier
Date de publication :
2020
ISSN :
0167-6911
Mot(s)-clé(s) en anglais :
evolution equations
sliding mode
minimax
Riccati equations
sliding mode
minimax
Riccati equations
Discipline(s) HAL :
Informatique [cs]/Automatique
Résumé en anglais : [en]
We extend a sliding mode control methodology to linear evolution equations with uncertain but bounded inputs and noise in observations. We first describe the reachability set of the state equation in the form of an ...
Lire la suite >We extend a sliding mode control methodology to linear evolution equations with uncertain but bounded inputs and noise in observations. We first describe the reachability set of the state equation in the form of an infinite-dimensional ellipsoid, and then steer the minimax center of this ellipsoid toward a finitedimensional sliding surface in finite time by using the standard sliding mode output-feedback controller in equivalent form. We demonstrate that the designed controller is the best (in the minimax sense) in the class of all measurable functionals of the output. Our design is illustrated by two numerical examples: output-feedback stabilization of linear delay equations, and control of moments for an advection-diffusion equation in 2D.Lire moins >
Lire la suite >We extend a sliding mode control methodology to linear evolution equations with uncertain but bounded inputs and noise in observations. We first describe the reachability set of the state equation in the form of an infinite-dimensional ellipsoid, and then steer the minimax center of this ellipsoid toward a finitedimensional sliding surface in finite time by using the standard sliding mode output-feedback controller in equivalent form. We demonstrate that the designed controller is the best (in the minimax sense) in the class of all measurable functionals of the output. Our design is illustrated by two numerical examples: output-feedback stabilization of linear delay equations, and control of moments for an advection-diffusion equation in 2D.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
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