On finite-time stabilization of a class ...
Type de document :
Communication dans un congrès avec actes
Titre :
On finite-time stabilization of a class of nonlinear time-delay systems: Implicit Lyapunov-Razumikhin approach
Auteur(s) :
Nekhoroshikh, Artem [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] [ITMO]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Perruquetti, Wilfrid [Auteur]
Centrale Lille
Furtat, Igor [Auteur]
Institute of Mechanical Engineering Problems [St. Petersburg] [IPME]
Finite-time control and estimation for distributed systems [VALSE]
National Research University of Information Technologies, Mechanics and Optics [St. Petersburg] [ITMO]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Perruquetti, Wilfrid [Auteur]
Centrale Lille
Furtat, Igor [Auteur]
Institute of Mechanical Engineering Problems [St. Petersburg] [IPME]
Titre de la manifestation scientifique :
CDC 2020 - 59th IEEE Conference on Decision and Control
Ville :
Jeju Island / Virtual
Pays :
Corée du Sud
Date de début de la manifestation scientifique :
2020-12-14
Discipline(s) HAL :
Sciences de l'ingénieur [physics]/Automatique / Robotique
Résumé en anglais : [en]
Theorems on Implicit Lyapunov-Razumikhin functions (ILRF) for asymptotic, exponential, finite-time and nearly fixed-time stability analysis of nonlinear time-delay systems are presented. Based on these results, finite-time ...
Lire la suite >Theorems on Implicit Lyapunov-Razumikhin functions (ILRF) for asymptotic, exponential, finite-time and nearly fixed-time stability analysis of nonlinear time-delay systems are presented. Based on these results, finite-time stabilization of a special class of such systems is addressed. These systems are represented by a chain of integrators with a time-delay term multiplied by a function of instantaneous state vector. Possible explicit restriction on nonlinear time-delay terms is discussed. Simple procedure of control parameters calculation is given in terms of linear matrix inequalities (LMIs). Some aspects of digital implementations of the presented nonlinear control law are touched upon. Theoretical results are illustrated by numerical simulations.Lire moins >
Lire la suite >Theorems on Implicit Lyapunov-Razumikhin functions (ILRF) for asymptotic, exponential, finite-time and nearly fixed-time stability analysis of nonlinear time-delay systems are presented. Based on these results, finite-time stabilization of a special class of such systems is addressed. These systems are represented by a chain of integrators with a time-delay term multiplied by a function of instantaneous state vector. Possible explicit restriction on nonlinear time-delay terms is discussed. Simple procedure of control parameters calculation is given in terms of linear matrix inequalities (LMIs). Some aspects of digital implementations of the presented nonlinear control law are touched upon. Theoretical results are illustrated by numerical simulations.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Collections :
Source :
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