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Compensators for singular control systems with small delays in outputs

  • Henríquez, Hernán R. [2] ; Castillo, Genaro A. [1]
    1. [1] Universidad de Talca

      Universidad de Talca

      Provincia de Talca, Chile

    2. [2] Universidad de Santiago.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 17, Nº. 1, 1998, págs. 23-54
  • Idioma: inglés
  • DOI: 10.22199/S07160917.1998.0001.00003
  • Enlaces
  • Resumen

    • In this paper we study the design of dynamic compensators for linear singular control systems described by the equation Ex' ( t) = Ax(t) + Bu(t) with time delayed observed output y(t) = Cx(t- r).The proposed compensators are applied to solve the regulator problema for the mentioned systems with controlled output z(t) = Dx(t). We also establish a result of existence of exponentially bounded solutions of the retarded singular differential equation Ex' ( t) = Ax(t) +  Rx(t-r) + f(t), t > 0, with initial condition x(θ) = ᵩ(θ), - r ≤ θ  ≤ 0.  

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