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

Research output: Contribution to conferencePaper

4 Scopus citations

Abstract

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.
Original languageAmerican English
Pages367-372
Number of pages329
DOIs
StatePublished - 14 May 2012
EventProceedings of IEEE International Workshop on Variable Structure Systems -
Duration: 14 May 2012 → …

Conference

ConferenceProceedings of IEEE International Workshop on Variable Structure Systems
Period14/05/12 → …

Fingerprint Dive into the research topics of 'Observer design for a class of hyperbolic PDE equation based on a Distributed Super Twisting Algorithm'. Together they form a unique fingerprint.

  • Cite this

    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. Paper presented at Proceedings of IEEE International Workshop on Variable Structure Systems, . https://doi.org/10.1109/VSS.2012.6163530