Boundary control of two-phase fluid flow using the Laplace-space domain

S. Djordjevic, O.H. Bosgra, P.M.J. Hof, Van den

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Abstract

In this paper, we introduce the Laplace-space approach to a linearized two-phase flow model governed by a set of hyperbolic-like partial differential equations (PDEs). Compared to the discretization approaches to PDEs, which result in a large number of ordinary differential equations (ODEs), the Laplace-space approach gives a set of functional relationships that describe the two-phase flow behavior with respect to space. The key element in our work is the Laplace space representation of the two-phase flow model that connects the two-phase flow regimes and causal input/output structures. The causal input/output structures need to be determined in order to design a boundary controller that can regulate the flow. The main advantage of the Laplace-space approach to the two phase flow and effectiveness of the proposed boundary control design are illustrated on a numerical example of a counter current two-phase flow in a vertical bubble column.
Original languageEnglish
Title of host publicationProceedings of the 2011 American Control Conference (ACC 2011), 29 June - 01 July 2011, San Francisco
Place of PublicationUnited States, Minneapolis
PublisherInstitute of Electrical and Electronics Engineers
Pages3283-3288
Publication statusPublished - 2011
Event2011 American Control Conference (ACC 2011), June 29 - July 1, 2011, San Francisco, CA, USA - San Francisco Hilton on O'Farrell Street, San Francisco, CA, United States
Duration: 29 Jun 20111 Jul 2011
http://acc2011.a2c2.org/index.php?r=1&page=Greetings&w=1680&b=0

Conference

Conference2011 American Control Conference (ACC 2011), June 29 - July 1, 2011, San Francisco, CA, USA
Abbreviated titleACC 2011
CountryUnited States
CitySan Francisco, CA
Period29/06/111/07/11
Other
Internet address

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