Contact geometry and its application to control

Peter Vassiliou

    Research output: A Conference proceeding or a Chapter in BookConference contribution

    Abstract

    The purpose of this note is to describe a recent generalisation of the well-known Goursat normal form and explore its possible role in control theory. For instance, we give a new, straightforward, general procedure for linearising nonlinear control systems, including time-varying, fully nonlinear systems and we illustrate the method by elementary pedagogical examples. We also exhibit an apparently non-flat control system which can nevertheless be explicitly linearised and therefore posseses an infinite symmetry group
    Original languageEnglish
    Title of host publicationAdvances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407
    EditorsJ Levine, P Mullhaupt
    Place of PublicationGermany
    PublisherSpringer
    Pages225-237
    Number of pages13
    Volume407
    ISBN (Print)9783642161346
    DOIs
    Publication statusPublished - 2009
    EventAdvances in the theory of control, signals and systems with physical modelling - Lausanne, Switzerland
    Duration: 1 Jan 200930 Jun 2009

    Conference

    ConferenceAdvances in the theory of control, signals and systems with physical modelling
    CountrySwitzerland
    CityLausanne
    Period1/01/0930/06/09

    Fingerprint

    Contact Geometry
    Nonlinear Control Systems
    Infinite Groups
    Fully Nonlinear
    Symmetry Group
    Control Theory
    Normal Form
    Time-varying
    Nonlinear Systems
    Control System
    Generalization

    Cite this

    Vassiliou, P. (2009). Contact geometry and its application to control. In J. Levine, & P. Mullhaupt (Eds.), Advances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407 (Vol. 407, pp. 225-237). Germany: Springer. https://doi.org/10.1007/978-3-642-16135-3
    Vassiliou, Peter. / Contact geometry and its application to control. Advances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407. editor / J Levine ; P Mullhaupt. Vol. 407 Germany : Springer, 2009. pp. 225-237
    @inproceedings{b4b9f95b591d4ab39136dfdd078c267a,
    title = "Contact geometry and its application to control",
    abstract = "The purpose of this note is to describe a recent generalisation of the well-known Goursat normal form and explore its possible role in control theory. For instance, we give a new, straightforward, general procedure for linearising nonlinear control systems, including time-varying, fully nonlinear systems and we illustrate the method by elementary pedagogical examples. We also exhibit an apparently non-flat control system which can nevertheless be explicitly linearised and therefore posseses an infinite symmetry group",
    keywords = "differential geometry, control systems, linearization",
    author = "Peter Vassiliou",
    year = "2009",
    doi = "10.1007/978-3-642-16135-3",
    language = "English",
    isbn = "9783642161346",
    volume = "407",
    pages = "225--237",
    editor = "J Levine and P Mullhaupt",
    booktitle = "Advances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407",
    publisher = "Springer",
    address = "Netherlands",

    }

    Vassiliou, P 2009, Contact geometry and its application to control. in J Levine & P Mullhaupt (eds), Advances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407. vol. 407, Springer, Germany, pp. 225-237, Advances in the theory of control, signals and systems with physical modelling, Lausanne, Switzerland, 1/01/09. https://doi.org/10.1007/978-3-642-16135-3

    Contact geometry and its application to control. / Vassiliou, Peter.

    Advances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407. ed. / J Levine; P Mullhaupt. Vol. 407 Germany : Springer, 2009. p. 225-237.

    Research output: A Conference proceeding or a Chapter in BookConference contribution

    TY - GEN

    T1 - Contact geometry and its application to control

    AU - Vassiliou, Peter

    PY - 2009

    Y1 - 2009

    N2 - The purpose of this note is to describe a recent generalisation of the well-known Goursat normal form and explore its possible role in control theory. For instance, we give a new, straightforward, general procedure for linearising nonlinear control systems, including time-varying, fully nonlinear systems and we illustrate the method by elementary pedagogical examples. We also exhibit an apparently non-flat control system which can nevertheless be explicitly linearised and therefore posseses an infinite symmetry group

    AB - The purpose of this note is to describe a recent generalisation of the well-known Goursat normal form and explore its possible role in control theory. For instance, we give a new, straightforward, general procedure for linearising nonlinear control systems, including time-varying, fully nonlinear systems and we illustrate the method by elementary pedagogical examples. We also exhibit an apparently non-flat control system which can nevertheless be explicitly linearised and therefore posseses an infinite symmetry group

    KW - differential geometry

    KW - control systems

    KW - linearization

    U2 - 10.1007/978-3-642-16135-3

    DO - 10.1007/978-3-642-16135-3

    M3 - Conference contribution

    SN - 9783642161346

    VL - 407

    SP - 225

    EP - 237

    BT - Advances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407

    A2 - Levine, J

    A2 - Mullhaupt, P

    PB - Springer

    CY - Germany

    ER -

    Vassiliou P. Contact geometry and its application to control. In Levine J, Mullhaupt P, editors, Advances in the theory of control, signals and systems with physical modelling : Lecture Notes in Control and Information Sciences : 407. Vol. 407. Germany: Springer. 2009. p. 225-237 https://doi.org/10.1007/978-3-642-16135-3