On the design of approximate non-linear parametric controllers

Sergio M. Savaresi, Henk Nijmeijer, Guido O. Guardabassi

    Research output: Contribution to journalArticleAcademic

    8 Citations (Scopus)

    Abstract

    This paper focuses on the design of non-linear parametric controllers, around a nominal input/output trajectory of a discrete-time non-linear system. The main result provided herein is a relationship between the tracking performance of the closed-loop control system in the neighbourhood of a nominal trajectory, and some local features (the first-order linear approximations about the nominal trajectory) of the non-linear mappings which characterize the plant and the feedback controller. Such a result can be used to predict the dynamic behaviour of the control system, and to reduce the computational complexity of the optimization task associated with the tuning of the parametric feedback controller.
    Original languageUndefined
    Pages (from-to)137-155
    JournalInternational journal of robust and nonlinear control
    Volume10
    Issue number3
    Publication statusPublished - 2000

    Keywords

    • IR-71622
    • Optimization
    • parametric control
    • Nonlinear Systems
    • Discrete-time systems

    Cite this

    Savaresi, S. M., Nijmeijer, H., & Guardabassi, G. O. (2000). On the design of approximate non-linear parametric controllers. International journal of robust and nonlinear control, 10(3), 137-155.
    Savaresi, Sergio M. ; Nijmeijer, Henk ; Guardabassi, Guido O. / On the design of approximate non-linear parametric controllers. In: International journal of robust and nonlinear control. 2000 ; Vol. 10, No. 3. pp. 137-155.
    @article{edc95dabcfcf4f80a006f688049377af,
    title = "On the design of approximate non-linear parametric controllers",
    abstract = "This paper focuses on the design of non-linear parametric controllers, around a nominal input/output trajectory of a discrete-time non-linear system. The main result provided herein is a relationship between the tracking performance of the closed-loop control system in the neighbourhood of a nominal trajectory, and some local features (the first-order linear approximations about the nominal trajectory) of the non-linear mappings which characterize the plant and the feedback controller. Such a result can be used to predict the dynamic behaviour of the control system, and to reduce the computational complexity of the optimization task associated with the tuning of the parametric feedback controller.",
    keywords = "IR-71622, Optimization, parametric control, Nonlinear Systems, Discrete-time systems",
    author = "Savaresi, {Sergio M.} and Henk Nijmeijer and Guardabassi, {Guido O.}",
    year = "2000",
    language = "Undefined",
    volume = "10",
    pages = "137--155",
    journal = "International journal of robust and nonlinear control",
    issn = "1049-8923",
    publisher = "Wiley",
    number = "3",

    }

    Savaresi, SM, Nijmeijer, H & Guardabassi, GO 2000, 'On the design of approximate non-linear parametric controllers', International journal of robust and nonlinear control, vol. 10, no. 3, pp. 137-155.

    On the design of approximate non-linear parametric controllers. / Savaresi, Sergio M.; Nijmeijer, Henk; Guardabassi, Guido O.

    In: International journal of robust and nonlinear control, Vol. 10, No. 3, 2000, p. 137-155.

    Research output: Contribution to journalArticleAcademic

    TY - JOUR

    T1 - On the design of approximate non-linear parametric controllers

    AU - Savaresi, Sergio M.

    AU - Nijmeijer, Henk

    AU - Guardabassi, Guido O.

    PY - 2000

    Y1 - 2000

    N2 - This paper focuses on the design of non-linear parametric controllers, around a nominal input/output trajectory of a discrete-time non-linear system. The main result provided herein is a relationship between the tracking performance of the closed-loop control system in the neighbourhood of a nominal trajectory, and some local features (the first-order linear approximations about the nominal trajectory) of the non-linear mappings which characterize the plant and the feedback controller. Such a result can be used to predict the dynamic behaviour of the control system, and to reduce the computational complexity of the optimization task associated with the tuning of the parametric feedback controller.

    AB - This paper focuses on the design of non-linear parametric controllers, around a nominal input/output trajectory of a discrete-time non-linear system. The main result provided herein is a relationship between the tracking performance of the closed-loop control system in the neighbourhood of a nominal trajectory, and some local features (the first-order linear approximations about the nominal trajectory) of the non-linear mappings which characterize the plant and the feedback controller. Such a result can be used to predict the dynamic behaviour of the control system, and to reduce the computational complexity of the optimization task associated with the tuning of the parametric feedback controller.

    KW - IR-71622

    KW - Optimization

    KW - parametric control

    KW - Nonlinear Systems

    KW - Discrete-time systems

    M3 - Article

    VL - 10

    SP - 137

    EP - 155

    JO - International journal of robust and nonlinear control

    JF - International journal of robust and nonlinear control

    SN - 1049-8923

    IS - 3

    ER -