Dynamic behavior of the discrete-time double integrator with saturated locally stabilizing linear state feedback laws

Tao Yang, Antonie Arij Stoorvogel, Ali Saberi

    Research output: Contribution to journalArticleAcademicpeer-review

    14 Citations (Scopus)

    Abstract

    The main contribution of this paper is to completely characterize the dynamic behavior of the discrete-time double integrator with a saturated locally stabilizing linear state feedback law. In continuous-time setting, any linear state feedback control law that locally stabilizes the double integrator also globally stabilizes the system in the presence of actuator saturation. In discrete-time setting, the equivalent of the double integrator does not have the same property. In this paper, we completely characterize the global behavior of saturated locally stabilizing linear state feedback laws for the discrete-time double integrator.
    Original languageUndefined
    Pages (from-to)1899-1931
    Number of pages33
    JournalInternational journal of robust and nonlinear control
    Volume23
    Issue number17
    DOIs
    Publication statusPublished - 2013

    Keywords

    • EWI-23868
    • IR-87574
    • METIS-300107
    • Nonlinear Systems
    • actuator saturation
    • Discrete-time double integrator

    Cite this

    @article{ef6ada4090414866b4ed9a41f7033f80,
    title = "Dynamic behavior of the discrete-time double integrator with saturated locally stabilizing linear state feedback laws",
    abstract = "The main contribution of this paper is to completely characterize the dynamic behavior of the discrete-time double integrator with a saturated locally stabilizing linear state feedback law. In continuous-time setting, any linear state feedback control law that locally stabilizes the double integrator also globally stabilizes the system in the presence of actuator saturation. In discrete-time setting, the equivalent of the double integrator does not have the same property. In this paper, we completely characterize the global behavior of saturated locally stabilizing linear state feedback laws for the discrete-time double integrator.",
    keywords = "EWI-23868, IR-87574, METIS-300107, Nonlinear Systems, actuator saturation, Discrete-time double integrator",
    author = "Tao Yang and Stoorvogel, {Antonie Arij} and Ali Saberi",
    note = "eemcs-eprint-23868",
    year = "2013",
    doi = "10.1002/rnc.2855",
    language = "Undefined",
    volume = "23",
    pages = "1899--1931",
    journal = "International journal of robust and nonlinear control",
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    Dynamic behavior of the discrete-time double integrator with saturated locally stabilizing linear state feedback laws. / Yang, Tao; Stoorvogel, Antonie Arij; Saberi, Ali.

    In: International journal of robust and nonlinear control, Vol. 23, No. 17, 2013, p. 1899-1931.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - Dynamic behavior of the discrete-time double integrator with saturated locally stabilizing linear state feedback laws

    AU - Yang, Tao

    AU - Stoorvogel, Antonie Arij

    AU - Saberi, Ali

    N1 - eemcs-eprint-23868

    PY - 2013

    Y1 - 2013

    N2 - The main contribution of this paper is to completely characterize the dynamic behavior of the discrete-time double integrator with a saturated locally stabilizing linear state feedback law. In continuous-time setting, any linear state feedback control law that locally stabilizes the double integrator also globally stabilizes the system in the presence of actuator saturation. In discrete-time setting, the equivalent of the double integrator does not have the same property. In this paper, we completely characterize the global behavior of saturated locally stabilizing linear state feedback laws for the discrete-time double integrator.

    AB - The main contribution of this paper is to completely characterize the dynamic behavior of the discrete-time double integrator with a saturated locally stabilizing linear state feedback law. In continuous-time setting, any linear state feedback control law that locally stabilizes the double integrator also globally stabilizes the system in the presence of actuator saturation. In discrete-time setting, the equivalent of the double integrator does not have the same property. In this paper, we completely characterize the global behavior of saturated locally stabilizing linear state feedback laws for the discrete-time double integrator.

    KW - EWI-23868

    KW - IR-87574

    KW - METIS-300107

    KW - Nonlinear Systems

    KW - actuator saturation

    KW - Discrete-time double integrator

    U2 - 10.1002/rnc.2855

    DO - 10.1002/rnc.2855

    M3 - Article

    VL - 23

    SP - 1899

    EP - 1931

    JO - International journal of robust and nonlinear control

    JF - International journal of robust and nonlinear control

    SN - 1049-8923

    IS - 17

    ER -