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
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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.