Multidimensional Systems and Signal Processing

, Volume 26, Issue 4, pp 967–984 | Cite as

Modelling a gas pipeline as a repetitive process: controllability, observability and stability

  • Teresa Paula Azevedo-Perdicoúlis
  • Gerhard Jank
  • Paulo Lopes dos Santos
Article

Abstract

In this paper, the gas dynamics within the pipelines is modelled as a repetitive process with smoothing. Controllability and observability criteria when the system is steered through initial and boundary data, which is achieved by an adequate choice of the homogeneity, are obtained. From the point of view of the technical applications, it seems to make more sense to consider boundary data controls as for instance in the management of high pressure gas networks. Stability criteria suitable computer simulations are also included.

Keywords

Boundary control Controllability Gas networks  Modelling Observability Repetitive processes 2D-systems 

References

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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Teresa Paula Azevedo-Perdicoúlis
    • 1
  • Gerhard Jank
    • 2
  • Paulo Lopes dos Santos
    • 3
  1. 1.ISR–Coimbra and Departamento de MatemáticaUTADVila RealPortugal
  2. 2.Department II of MathematicsRWTH–University of TechnologyAachenGermany
  3. 3.FEUPPortoPortugal

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