On problems of dynamic optimal nodal control for gas networks

Gugat M, Sokolowski J (2022)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2022

Journal

Pure and Applied Functional Analysis Yokohama Publishers

Book Volume: 5

Pages Range: 1699-1715

Journal Issue: 7

URI: http://yokohamapublishers.jp/online2/oppafa/vol7/p1699.html

Abstract

We consider a dynamic optimal control problem for gas pipeline systems.

The flow is governed by a quasilinear hyperbolic model.

Since in the operation of the gas networks regular solutions without shocks are desirable, we imposeappropriate state and control constraint in order to guarantee that a classical solution is generated.

Due to a $W^{2,\infty}$-regularization term in the objective function, we can show the existence of an optimal control.

Moreover,  we give conditions that guarantee that the control becomes constant a the end of the control time interval if the weight of the regularization term is sufficiently large.

Authors with CRIS profile

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

Involved external institutions

Université de Lorraine FR France (FR)

How to cite

APA:

Gugat, M., & Sokolowski, J. (2022). On problems of dynamic optimal nodal control for gas networks. Pure and Applied Functional Analysis, 5(7), 1699-1715.

MLA:

Gugat, Martin, and Jan Sokolowski. "On problems of dynamic optimal nodal control for gas networks." Pure and Applied Functional Analysis 5.7 (2022): 1699-1715.

BibTeX: Download