Closed loop control of gas flow in a pipe: stability for a transient model

Gugat M, Hante FM, Jin L (2020)

Publication Type: Journal article

Publication year: 2020

Journal

At-Automatisierungstechnik Oldenbourg Verlag

Book Volume: 68

Pages Range: 1001-1010

Journal Issue: 12

DOI: 10.1515/auto-2020-0071

Abstract

This contribution focuses on the analysis and control of friction-dominated flow of gas in pipes. The pressure in the gas flow is governed by a partial differential equation that is a doubly nonlinear parabolic equation of p-Laplace type, where p = 3/2. Such equations exhibit positive solutions, finite speed of propagation and satisfy a maximum principle. The pressure is fixed on one end (upstream), and the flow is specified on the other end (downstream). These boundary conditions determine a unique steady equilibrium flow.

Authors with CRIS profile

Martin Gugat Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Humboldt-Universität zu Berlin DE Germany (DE) New York University (NYU) US United States (USA) (US)

How to cite

APA:

Gugat, M., Hante, F.M., & Jin, L. (2020). Closed loop control of gas flow in a pipe: stability for a transient model. At-Automatisierungstechnik, 68(12), 1001-1010. https://doi.org/10.1515/auto-2020-0071

MLA:

Gugat, Martin, Falk M. Hante, and Li Jin. "Closed loop control of gas flow in a pipe: stability for a transient model." At-Automatisierungstechnik 68.12 (2020): 1001-1010.

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