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MODAL DECOMPOSITION OF A NONLINEAR TUBULAR REACTOR MODEL : A CONTROL PERSPECTIVE
Jennifer Brown* Denis Dochain** Michel Perrier***
and Fraser Forbes*
* Department of Chemical and Materials Engineering, 536
Chemical and Material Engineering Building, Edmonton,
Alberta, Canada T6G 2G6
** Cesama, Université Catholique de Louvain, av. G. Lemaître
4-6, 1348 Louvain-La-Neuve, Belgium (corresponding author)
e-mail : dochain@csam.ucl.ac.be, fax : 32-10-472180
*** Département de Génie Chimique, Ecole Polytechnique de
Montréal, Case postale 6079 succursale “Centre Ville”
Montréal H3C 3A7, Canada
This paper focuses on the application of modal decomposition to a nonlinear convection-reaction-diffusion distributed parameter system (DPS). More precisely it will concentrate on the dynamical model of an industrial pulp bleaching tubular reactor described by nonlinear partial differential equations (PDEs). The objective of the modal decomposition is to generate, for control design, a discretized finite-dimensional model that contains the dominant modes of the process dynamics. The modal decomposition has been performed on a linearized tangent model of the process. It results in eigenfunctions that are modified Bessel functions of complex order.
Keywords: Tubular reactor, distributed parameter systems, modal decomposition, chemical process, pulp bleaching
Session slot T-Tu-E11: Nonlinear Process Control II/Area code 7a : Chemical Process Control
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