System State Estimation for Gas Flows Using Observers Based on Density Measurements
Gugat M, Giesselmann J, Kunkel T (2024)
Publication Language: English
Publication Type: Book chapter / Article in edited volumes
Publication year: 2024
Publisher: Springer Nature
Edited Volumes: Hyperbolic Problems: Theory, Numerics, Applications. Volume II
Series: SEMA SIMAI Springer Series
City/Town: Cham, Switzerland
Book Volume: Volume 35
Pages Range: 359-369
DOI: 10.1007/978-3-031-55264-9_31
Abstract
We study how to estimate the system state in transient operations of pipe
networks for gas transport. To this end we set up an observer system based on
distributed measurements of the density. Using an extension of the relative energy
method we show that the state of the observer system converges exponentially in the
long time limit to the original system state, i.e., we reconstruct the complete system
state from distributed measurements of only one of the state variables. This result
can be shown for a single pipe as well as for star-shaped networks.
Authors with CRIS profile
Martin Gugat
Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)
Involved external institutions
Germany (DE)How to cite
APA:
Gugat, M., Giesselmann, J., & Kunkel, T. (2024). System State Estimation for Gas Flows Using Observers Based on Density Measurements. In Carlos Parés, Manuel J. Castro, Tomás Morales de Luna, María Luz Muñoz-Ruiz (Eds.), Hyperbolic Problems: Theory, Numerics, Applications. Volume II. (pp. 359-369). Cham, Switzerland: Springer Nature.
MLA:
Gugat, Martin, Jan Giesselmann, and Teresa Kunkel. "System State Estimation for Gas Flows Using Observers Based on Density Measurements." Hyperbolic Problems: Theory, Numerics, Applications. Volume II. Ed. Carlos Parés, Manuel J. Castro, Tomás Morales de Luna, María Luz Muñoz-Ruiz, Cham, Switzerland: Springer Nature, 2024. 359-369.
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