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

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3 Author(s)
Snezana Djordjevic ; Control Systems Technology group, Eindhoven University of Technology, The Netherlands ; Okko H. Bosgra ; Paul M. J. Van den Hof

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.

Published in:

Proceedings of the 2011 American Control Conference

Date of Conference:

June 29 2011-July 1 2011