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4 results on '"Leducq, Denis"'

1. Model identification and reduction for the control of an ice cream crystallization process

Author

UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique, Casenave, Céline, Dochain, Denis, Alvarez, Graciela, Arellano, Marcela, Benkhelifa, Hayat, Leducq, Denis, UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique, Casenave, Céline, Dochain, Denis, Alvarez, Graciela, Arellano, Marcela, Benkhelifa, Hayat, and Leducq, Denis

Published
2014

2. Control of a nonlinear ice cream crystallization process

Author

UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique, Casenave, Céline, Dochain, Denis, Alvarez, Graciela, Arellano, Marcela, Benkhelifa, Hayat, Leducq, Denis, UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique, Casenave, Céline, Dochain, Denis, Alvarez, Graciela, Arellano, Marcela, Benkhelifa, Hayat, and Leducq, Denis

Abstract

In the ice cream industry, the type of final desired product (large cartons (sqrounds) or ice creams on a stick) determine the viscosity at which the ice cream has to be produced. One of the objectives of the ice cream crystallization processes is therefore to produce an ice cream of specified viscosity. In this paper, a nonlinear control strategy is proposed for the control of the viscosity of the ice cream in a continuous crystallizer. It has been designed on the basis of a reduced order model obtained by application of the method of moments, on a population balance equation describing the evolution of the crystal size distribution. The control strategy is based on a linearizing control law coupled with a Smith predictor to account for the measurement delay. It has been validated on a pilot plant located at IRSTEA (Antony, France).

Published
2013

3. Steady-state and stability analysis of a population balance based nonlinear ice cream crystallization model

Author

UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique, Casenave, Céline, Dochain, Denis, Alvarez, Graciela, Benkhelifa, Hayat, Flick, Denis, Leducq, Denis, 2012 American Control Conference (ACC 2012), UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique, Casenave, Céline, Dochain, Denis, Alvarez, Graciela, Benkhelifa, Hayat, Flick, Denis, Leducq, Denis, and 2012 American Control Conference (ACC 2012)

Abstract

The process of crystallization can be modelled by a population balance equation coupled with an energy balance equation. Such models are highly complex to study due to the infinite dimensional and nonlinear characteristics, especially when all the phenomena of nucleation, growth and breakage are considered. In the present paper, we have performed the stability analysis on a reduced order model obtained by the method of moments, which remains still highly complex. The considered model has been developed by the Cemagref and validated on experimental data. After computation, we get a scalar equation whose solutions correspond to the equilibrium points of the system. This equation is finally solved numerically for a concrete physical configuration of the crystallizer. We show that in most instances, there is only one steady state. The possibility of multiple steady-states is discussed.

Published
2012

4. Steady-state and stability analysis of a population balance based nonlinear ice cream crystallization model

Author

Centre for systems engineering and applied mechanics [Louvain] (CESAME) ; Université Catholique de Louvain (UCL), CESAME ; Centre for systems engineering and applied mechanics [Louvain] (CESAME) ; Université Catholique de Louvain (UCL) - Université Catholique de Louvain (UCL), Génie des procédés frigorifiques (UR GPAN) ; Irstea, SP2 ; Ingénierie Procédés Aliments (GENIAL) ; Institut national de la recherche agronomique (INRA) - Conservatoire National des Arts et Métiers [CNAM] - AgroParisTech - Institut national de la recherche agronomique (INRA) - Conservatoire National des Arts et Métiers [CNAM] - AgroParisTech, Génie des procédés frigorifiques (UR GPAN) ; CEMAGREF, European Project : 212754, KBBE, FP7-KBBE-2007-1, CAFE(2008), Casenave, Céline, Dochain, Denis, Alvarez, Graciela, Benkhelifa, Hayat, Flick, Denis, Leducq, Denis, Centre for systems engineering and applied mechanics [Louvain] (CESAME) ; Université Catholique de Louvain (UCL), CESAME ; Centre for systems engineering and applied mechanics [Louvain] (CESAME) ; Université Catholique de Louvain (UCL) - Université Catholique de Louvain (UCL), Génie des procédés frigorifiques (UR GPAN) ; Irstea, SP2 ; Ingénierie Procédés Aliments (GENIAL) ; Institut national de la recherche agronomique (INRA) - Conservatoire National des Arts et Métiers [CNAM] - AgroParisTech - Institut national de la recherche agronomique (INRA) - Conservatoire National des Arts et Métiers [CNAM] - AgroParisTech, Génie des procédés frigorifiques (UR GPAN) ; CEMAGREF, European Project : 212754, KBBE, FP7-KBBE-2007-1, CAFE(2008), Casenave, Céline, Dochain, Denis, Alvarez, Graciela, Benkhelifa, Hayat, Flick, Denis, and Leducq, Denis

Abstract

International audience, The process of crystallization can be modelled by a population balance equation coupled with an energy balance equation. Such models are highly complex to study due to the infinite dimensional and nonlinear characteristics, especially when all the phenomena of nucleation, growth and breakage are considered. In the present paper, we have performed the stability analysis on a reduced order model obtained by the method of moments, which remains still highly complex. The considered model has been developed by the Cemagref and validated on experimental data. After computation, we get a scalar equation whose solutions correspond to the equilibrium points of the system. This equation is finally solved numerically for a concrete physical configuration of the crystallizer. We show that in most instances, there is only one steady state. The possibility of multiple steady-states is discussed.

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