Observation of linear time-invariant systems with Lebesgue sampling

Jaime A. Moreno, Manuel J. Betancur, Martín A. Tamayo

    Resultado de la investigación: Capítulo del libro/informe/acta de congresoContribución a la conferenciarevisión exhaustiva

    3 Citas (Scopus)

    Resumen

    The usual methods for state estimation of a continuous time system require the precise value of the output variable at all instants of time, or at equally spaced sampling instants. In this work an estimation technique is introduced for Linear Time Invariant (LTI) systems, when the only information on the output variable consists of the time instants at which it has reached certain fixed threshold value. This is motivated by the fact that these measurements can be easily obtained with robust and inexpensive binary sensors (detectors). It is shown that, theoretically, and despite of the scarcity of the information given by the detectors, it is possible to reconstruct, after a finite number of samples, the exact value of the state variable. This is true for almost every sampling time sequence, even if the Shannon sampling theorem is not satisfied.

    Idioma originalInglés
    Título de la publicación alojada2010 IEEE ANDESCON Conference Proceedings, ANDESCON 2010
    DOI
    EstadoPublicada - 2010
    Evento2010 IEEE ANDESCON Conference, ANDESCON 2010 - Bogota, Colombia
    Duración: 14 sept. 201017 sept. 2010

    Serie de la publicación

    Nombre2010 IEEE ANDESCON Conference Proceedings, ANDESCON 2010

    Conferencia

    Conferencia2010 IEEE ANDESCON Conference, ANDESCON 2010
    País/TerritorioColombia
    CiudadBogota
    Período14/09/1017/09/10

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