Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks
Gugat M, Giesselmann J, Kunkel T (2021)
Publication Type: Journal article
Publication year: 2021
Journal
URI: https://academic.oup.com/imamci/advance-article/doi/10.1093/imamci/dnab029/6371370
Open Access Link: https://academic.oup.com/imamci/advance-article/doi/10.1093/imamci/dnab029/6371370
Abstract
The flow of gas through networks of pipes can be modelled 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 for general graphs and prove that the state of the observer system converges to the original state exponentially fast. Numerical experiments confirm the theoretical findings.
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. (2021). Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks. IMA Journal of Mathematical Control and Information. https://dx.doi.org/10.1093/imamci/dnab029
MLA:
Gugat, Martin, Jan Giesselmann, and Teresa Kunkel. "Exponential synchronization of a nodal observer for a semilinear model for the flow in gas networks." IMA Journal of Mathematical Control and Information (2021).
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