What is it about?
Gas flow can be described by a hierarchy of different models. From the quasilinear model that comes from continuum mechanics, a model that is degenerate parabolic can be derived. The model is sufficiently accurate in a quasi-static situation. In this paper we study how the system goverend by this model behaves if the boundary conditions are given by certain feedback laws. We show that the resulting closed loop system approaches a desired steady state exponentially fast.
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Why is it important?
While in the literature numerous stabilization results for the boundary feedback stabilization of the hyperbolic models are avaliable, in this paper we contribute to the understanding of the model that has been studied for example by Alain Bamberger in the 70's.
Perspectives
In this paper we focus on the gas flow in a single pipe. However, gas networks have a complicated graph structure that should also be taken account of in the future research on this topic.
Martin Gugat
Friedrich-Alexander-Universitat Erlangen-Nurnberg
Read the Original
This page is a summary of: Closed loop control of gas flow in a pipe: stability for a transient model, at - Automatisierungstechnik, November 2020, De Gruyter,
DOI: 10.1515/auto-2020-0071.
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