Observer design for a class of hyperbolic PDE equation based on a Distributed Super Twisting Algorithm

R. Miranda, J. A. Moreno, J. Chairez, L. Fridman

Producción científica: Contribución a una revistaArtículo de la conferenciarevisión exhaustiva

8 Citas (Scopus)

Resumen

In this paper a new version of a Distributed Super-Twisting Algorithm (DSTA), including a linear term, is proposed. It is an extension to infinite dimensional spaces of the Generalized Super-Twisting Algorithm for finite dimensional systems proposed in [14], [15], [3]. The proposed algorithm is different from the one presented previously by [18], [22] and it retains all the main properties of its finite dimensional counterpart, that is, it converges in finite time to zero, even in presence of bounded perturbations, in contrast with the asymptotic convergence and weaker robustness properties that have been shown for the algorithm in [18], [22]. This properties are shown using a strong Lyapunov functional. As application of this algorithm the finite time and robust state estimation problem for a class of uncertain hyperbolic PDEs is considered. A numerical example illustrates the effectiveness of the proposed method.

Idioma originalInglés
Número de artículo6163530
Páginas (desde-hasta)367-372
Número de páginas6
PublicaciónProceedings of IEEE International Workshop on Variable Structure Systems
DOI
EstadoPublicada - 2012
Evento2012 12th International Workshop on Variable Structure Systems, VSS 2012 - Mumbai, India
Duración: 12 ene. 201214 ene. 2012

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