Compensators for singular control systems with small delays in outputs

Authors

  • Hernán R. Henríquez Universidad de Santiago.
  • Genaro A. Castillo Universidad de Talca.

DOI:

https://doi.org/10.22199/S07160917.1998.0001.00003

Keywords:

Singular Control Systems, Asymptotic Observators, Asymptotic Compensators, Asymptotic Regulators

Abstract

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(?) = ?(?), - r ? ?  ? 0.  

Author Biographies

Hernán R. Henríquez, Universidad de Santiago.

Departamento de Matemáticas.

Genaro A. Castillo, Universidad de Talca.

Departamento de Matemáticas.

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Published

2018-04-04

How to Cite

[1]
H. R. Henríquez and G. A. Castillo, “Compensators for singular control systems with small delays in outputs”, Proyecciones (Antofagasta, On line), vol. 17, no. 1, pp. 23-54, Apr. 2018.

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Artículos