A polytopic strategy for improved ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
A polytopic strategy for improved non-asymptotic robust control via implicit Lyapunov functions
Author(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]
Journal title :
Nonlinear Analysis: Hybrid Systems
Publisher :
Elsevier
Publication date :
2020
ISSN :
1751-570X
English keyword(s) :
Finite-and Fixed-Time Convergence
Implicit Lyapunov Functions
Homogeneity
Polytopic Systems
Linear Matrix Inequalities
Implicit Lyapunov Functions
Homogeneity
Polytopic Systems
Linear Matrix Inequalities
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [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 ...
Show more >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.Show less >
Show more >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.Show less >
Language :
Anglais
Popular science :
Non
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