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

Resultado de la investigación: Contribución a una conferenciaArtículo

4 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. © 2012 IEEE.
Idioma originalInglés estadounidense
Páginas367-372
Número de páginas329
DOI
EstadoPublicada - 14 may 2012
EventoProceedings of IEEE International Workshop on Variable Structure Systems -
Duración: 14 may 2012 → …

Conferencia

ConferenciaProceedings of IEEE International Workshop on Variable Structure Systems
Período14/05/12 → …

Huella Profundice en los temas de investigación de 'Observer design for a class of hyperbolic PDE equation based on a Distributed Super Twisting Algorithm'. En conjunto forman una huella única.

  • Citar esto

    Miranda, R., Moreno, J. A., Chairez, J., & Fridman, L. (2012). Observer design for a class of hyperbolic PDE equation based on a Distributed Super Twisting Algorithm. 367-372. Papel presentado en Proceedings of IEEE International Workshop on Variable Structure Systems, . https://doi.org/10.1109/VSS.2012.6163530