A polytopic strategy for improved ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
A polytopic strategy for improved non-asymptotic robust control via implicit Lyapunov functions
Auteur(s) :
Tapia, Alan [Auteur]
Instituto Tecnológico de Sonora [ITSON]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Bernal, Miguel [Auteur]
Instituto Tecnológico de Sonora [ITSON]
Fridman, Leonid [Auteur correspondant]
Universidad Nacional Autónoma de México = National Autonomous University of Mexico [UNAM]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Instituto Tecnológico de Sonora [ITSON]
Efimov, Denis [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Bernal, Miguel [Auteur]
Instituto Tecnológico de Sonora [ITSON]
Fridman, Leonid [Auteur correspondant]
Universidad Nacional Autónoma de México = National Autonomous University of Mexico [UNAM]
Polyakov, Andrey [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Titre de la revue :
Nonlinear Analysis: Hybrid Systems
Éditeur :
Elsevier
Date de publication :
2020
ISSN :
1751-570X
Mot(s)-clé(s) en anglais :
Finite-and Fixed-Time Convergence
Implicit Lyapunov Functions
Homogeneity
Polytopic Systems
Linear Matrix Inequalities
Implicit Lyapunov Functions
Homogeneity
Polytopic Systems
Linear Matrix Inequalities
Discipline(s) HAL :
Sciences de l'ingénieur [physics]/Automatique / Robotique
Résumé en anglais : [en]
This paper is concerned with finite-and fixed-time robust stabilization of uncertain multi-input nonlinear systems via the implicit Lyapunov function method. Instead of splitting the system into a linear nominal model and ...
Lire la suite >This paper is concerned with finite-and fixed-time robust stabilization of uncertain multi-input nonlinear systems via the implicit Lyapunov function method. Instead of splitting the system into a linear nominal model and an additive perturbation which gathers nonlinearities, parametric uncertainties , and exogenous disturbances, the methodology hereby proposed preserves some nonlinear terms in the nominal system via an exact polytopic representation which leads to design conditions in the form of linear matrix inequalities. As a result, feasible solutions are found where former approaches fail; these solutions have more accurate settling-time estimates with reduced control effort. The corresponding control law includes well-known high-order sliding modes as a particular case. Numerical simulations are provided to illustrate the advantages of the proposal.Lire moins >
Lire la suite >This paper is concerned with finite-and fixed-time robust stabilization of uncertain multi-input nonlinear systems via the implicit Lyapunov function method. Instead of splitting the system into a linear nominal model and an additive perturbation which gathers nonlinearities, parametric uncertainties , and exogenous disturbances, the methodology hereby proposed preserves some nonlinear terms in the nominal system via an exact polytopic representation which leads to design conditions in the form of linear matrix inequalities. As a result, feasible solutions are found where former approaches fail; these solutions have more accurate settling-time estimates with reduced control effort. The corresponding control law includes well-known high-order sliding modes as a particular case. Numerical simulations are provided to illustrate the advantages of the proposal.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
Source :
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