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

Autor:	Martin Gugat, Jan Giesselmann, Teresa Kunkel
Rok vydání:	2021
Předmět:	Exponential synchronization Control and Optimization Observer (quantum physics) Flow (mathematics) Control and Systems Engineering Control theory Applied Mathematics NODAL Mathematics
Zdroj:	IMA Journal of Mathematical Control and Information. 38:1109-1147
ISSN:	1471-6887 0265-0754
DOI:	10.1093/imamci/dnab029
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f792f77d1108249bcaa2fab08ee916a4 https://doi.org/10.1093/imamci/dnab029 Zobrazit plný text záznamu