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    • WISSENSCHAFTLICHE ARBEITEN
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    Por favor, use este identificador para citar o enlazar este ítem:http://uvadoc.uva.es/handle/10324/26258

    Título
    Distributed Saturated Control for a Class of Semilinear PDE Systems: A SOS Approach
    Autor
    Pitarch Pérez, José LuisAutoridad UVA Orcid
    Rakhshan, Mohsen
    Mardani, Mohammad Mehdi
    Shasadeghi, Mokhtar
    Año del Documento
    2017
    Editorial
    IEEE
    Descripción
    Producción Científica
    Documento Fuente
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2017 (In press, DOI:10.1109/TFUZZ.2017.2688379)
    Zusammenfassung
    This paper presents a systematic approach to deal with the saturated control of a class of distributed parameter systems which can be modeled by first-order hyperbolic partial differential equations (PDE). The approach extends (also improves over) the existing fuzzy Takagi-Sugeno (TS) state feedback designs for such systems by applying the concepts of the polynomial sum-of-squares (SOS) techniques. Firstly, a fuzzy-polynomial model via Taylor series is used to model the semilinear hyperbolic PDE system. Secondly, the closed-loop exponential stability of the fuzzy-PDE system is studied through the Lyapunov theory. This allows to derive a design methodology in which a more complex fuzzy state-feedback control is designed in terms of a set of SOS constraints, able to be numerically computed via semidefinite programming. Finally, the proposed approach is tested in simulation with the standard example of a nonisothermal plug-flow reactor (PFR).
    Palabras Clave
    Hyperbolic PDE
    Fuzzy Polynomial
    SOS
    Input Saturation
    Distributed-parameter systems
    ISSN
    1063-6706
    Revisión por pares
    SI
    DOI
    10.1109/TFUZZ.2017.2688379
    Patrocinador
    The research leading to these results has received funding from the European Union and from the Spanish Government (MINECO/FEDER DPI2015-70975-P).
    Version del Editor
    http://dx.doi.org/10.1109/TFUZZ.2017.2688379
    Propietario de los Derechos
    IEEE
    Idioma
    eng
    URI
    http://uvadoc.uva.es/handle/10324/26258
    Derechos
    restrictedAccess
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