Uniformly convergent sliding mode‐based observation for switched linear systems

Mincarelli, Diego; Pisano, Alessandro; Floquet, Thierry; Usai, Elio

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1002/rnc.3366

Title :

Uniformly convergent sliding mode‐based observation for switched linear systems

Author(s) :

Mincarelli, Diego [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Pisano, Alessandro [Auteur]
Department of Electrical and Electronic Engineering [University of Cagliari] [DIEE]
Floquet, Thierry [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Usai, Elio [Auteur]
Department of Electrical and Electronic Engineering [University of Cagliari] [DIEE]

Journal title :

International Journal of Robust and Nonlinear Control

Pages :

1549-1564

Publisher :

Wiley

Publication date :

2016

ISSN :

1049-8923

English keyword(s) :

Switched systems
observer design
second order sliding modes

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

The problem of designing an observer capable of reconstructing the continuous and discrete states for a class of switched linear systems is addressed. A stack of dynamical observers based on the super twisting algorithm ...
Show more >The problem of designing an observer capable of reconstructing the continuous and discrete states for a class of switched linear systems is addressed. A stack of dynamical observers based on the super twisting algorithm with finite and uniform-in-the-initial-condition convergence is considered, which provides an estimate of the continuous state and, at the same time, produces residual signals suitable for reconstructing the discrete state. An appropriate ‘projection’ of the residuals is suggested, which allows to speed up the reconstruction of the discrete state. Formal ‘distinguishability’ conditions guaranteeing that the discrete state can be uniquely reconstructed are derived. Lyapunov-based proofs of convergence, and numerical simulations, support the proposed approach.Show less >

Language :

Anglais

Popular science :

Non

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