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Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks

Submission Status:under review
  • The flow of gas through networks of pipes can be modeled by coupling hyperbolic systems of partial differential equations that describe the flow through the pipes that form the edges of the graph of the network by algebraic node conditions that model the flow through the vertices of the graph. In the network, measurements of the state are available at certain points in space.Based upon these nodal observations, the complete system state can be approximated using an observer system. In this paper we present a nodal observer, and prove that the state of the observer system converges to the original state exponentially fast. Numerical experiments confirm the theoretical findings.

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Metadaten
Author:Gugat Martin, Jan Giesselmann, Teresa Kunkel
DOI:https://doi.org/10.1093/imamci/dnab029
Place of publication:IMA Journal of Mathematical Control and Information
Document Type:Article
Language:English
Date of Publication (online):2021/05/01
Date of first Publication:2021/05/01
Release Date:2021/05/01
Subprojects:C03
C05
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International