Identification of compartmental models of diffusive systems by linear regression

Dirk Vries, Karel Keesman, Hans Zwart

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

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    Abstract

    A linear regressive model structure and output predictor, both in algebraic form, are deduced from an LTI state space system with symmetric tridiagonal system matrix structure. In practice, systems with such a system matrix arise in modeling of distributed system configurations, and are known as compartmental systems. Two diffusion example cases are approximated by compartmental models and simulations of one case are worked out. Simulation results indicate that the method may be attractive for estimation, prediction and insight in compartmental systems, especially when physical knowledge is to be preserved.
    Original languageEnglish
    Title of host publication25th Benelux Meeting on Systems and Control, March 13-15, 2006, Heeze, The Netherlands
    Subtitle of host publicationBook of Abstracts
    EditorsBram de Jager, Gjerrit Meinsma
    Place of PublicationEindhoven
    PublisherTechnische Universiteit Eindhoven
    Pages17-17
    Number of pages1
    ISBN (Print)978-90-386-2558-4
    Publication statusPublished - 13 Mar 2006
    Event25th Benelux Meeting on Systems and Control 2006 - Heeze, Belgium
    Duration: 13 Mar 200615 Mar 2006
    Conference number: 25

    Conference

    Conference25th Benelux Meeting on Systems and Control 2006
    CountryBelgium
    CityHeeze
    Period13/03/0615/03/06

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    Linear regression
    Identification (control systems)
    Model structures

    Cite this

    Vries, D., Keesman, K., & Zwart, H. (2006). Identification of compartmental models of diffusive systems by linear regression. In B. de Jager, & G. Meinsma (Eds.), 25th Benelux Meeting on Systems and Control, March 13-15, 2006, Heeze, The Netherlands: Book of Abstracts (pp. 17-17). Eindhoven: Technische Universiteit Eindhoven.
    Vries, Dirk ; Keesman, Karel ; Zwart, Hans. / Identification of compartmental models of diffusive systems by linear regression. 25th Benelux Meeting on Systems and Control, March 13-15, 2006, Heeze, The Netherlands: Book of Abstracts. editor / Bram de Jager ; Gjerrit Meinsma. Eindhoven : Technische Universiteit Eindhoven, 2006. pp. 17-17
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    abstract = "A linear regressive model structure and output predictor, both in algebraic form, are deduced from an LTI state space system with symmetric tridiagonal system matrix structure. In practice, systems with such a system matrix arise in modeling of distributed system configurations, and are known as compartmental systems. Two diffusion example cases are approximated by compartmental models and simulations of one case are worked out. Simulation results indicate that the method may be attractive for estimation, prediction and insight in compartmental systems, especially when physical knowledge is to be preserved.",
    author = "Dirk Vries and Karel Keesman and Hans Zwart",
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    language = "English",
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    Vries, D, Keesman, K & Zwart, H 2006, Identification of compartmental models of diffusive systems by linear regression. in B de Jager & G Meinsma (eds), 25th Benelux Meeting on Systems and Control, March 13-15, 2006, Heeze, The Netherlands: Book of Abstracts. Technische Universiteit Eindhoven, Eindhoven, pp. 17-17, 25th Benelux Meeting on Systems and Control 2006, Heeze, Belgium, 13/03/06.

    Identification of compartmental models of diffusive systems by linear regression. / Vries, Dirk; Keesman, Karel; Zwart, Hans.

    25th Benelux Meeting on Systems and Control, March 13-15, 2006, Heeze, The Netherlands: Book of Abstracts. ed. / Bram de Jager; Gjerrit Meinsma. Eindhoven : Technische Universiteit Eindhoven, 2006. p. 17-17.

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

    TY - GEN

    T1 - Identification of compartmental models of diffusive systems by linear regression

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    AU - Keesman, Karel

    AU - Zwart, Hans

    PY - 2006/3/13

    Y1 - 2006/3/13

    N2 - A linear regressive model structure and output predictor, both in algebraic form, are deduced from an LTI state space system with symmetric tridiagonal system matrix structure. In practice, systems with such a system matrix arise in modeling of distributed system configurations, and are known as compartmental systems. Two diffusion example cases are approximated by compartmental models and simulations of one case are worked out. Simulation results indicate that the method may be attractive for estimation, prediction and insight in compartmental systems, especially when physical knowledge is to be preserved.

    AB - A linear regressive model structure and output predictor, both in algebraic form, are deduced from an LTI state space system with symmetric tridiagonal system matrix structure. In practice, systems with such a system matrix arise in modeling of distributed system configurations, and are known as compartmental systems. Two diffusion example cases are approximated by compartmental models and simulations of one case are worked out. Simulation results indicate that the method may be attractive for estimation, prediction and insight in compartmental systems, especially when physical knowledge is to be preserved.

    M3 - Conference contribution

    SN - 978-90-386-2558-4

    SP - 17

    EP - 17

    BT - 25th Benelux Meeting on Systems and Control, March 13-15, 2006, Heeze, The Netherlands

    A2 - de Jager, Bram

    A2 - Meinsma, Gjerrit

    PB - Technische Universiteit Eindhoven

    CY - Eindhoven

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    Vries D, Keesman K, Zwart H. Identification of compartmental models of diffusive systems by linear regression. In de Jager B, Meinsma G, editors, 25th Benelux Meeting on Systems and Control, March 13-15, 2006, Heeze, The Netherlands: Book of Abstracts. Eindhoven: Technische Universiteit Eindhoven. 2006. p. 17-17