Constrained finite time optimal control of a micro-capacitor

Leonidas Dritsas, George Nikolakopoulos, Antonios Tzes

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

    Abstract

    In this article the control problem of a non-linear micro-capacitor (μ - C) is considered. Utilization of FEM can approximate the μ - A dynamics nonlinear-PDE to a finite nonlinear-ODE. The nonlinearity stems from the plate's rigid-body motion, while all flexibility effects are considered as additive linear-terms. The control methodology we employ is a combination of two ideas. First we use standard linearization techniques to compute PWA approximations of the original nonlinear system around multiple operating points. Next we employ the theory of Constrained Fine Time Optimal Controllers (CFTOC) in order to design (off-line) explicit switching controllers for the set of PWA systems obtained in the first step. The ensuing switched PWA controller is applied to the the original-nonlinear system. We investigate, via extensive simulations, the efficacy of using this control approach for output set-point tracking objectives.

    Original languageEnglish (US)
    Title of host publicationIECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics
    Pages3161-3165
    Number of pages5
    DOIs
    StatePublished - Dec 1 2006
    EventIECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics - Paris, France
    Duration: Nov 6 2006Nov 10 2006

    Other

    OtherIECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics
    CountryFrance
    CityParis
    Period11/6/0611/10/06

    Fingerprint

    Capacitors
    Controllers
    Nonlinear systems
    Linearization
    Finite element method

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Electrical and Electronic Engineering

    Cite this

    Dritsas, L., Nikolakopoulos, G., & Tzes, A. (2006). Constrained finite time optimal control of a micro-capacitor. In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics (pp. 3161-3165). [4153139] https://doi.org/10.1109/IECON.2006.347557

    Constrained finite time optimal control of a micro-capacitor. / Dritsas, Leonidas; Nikolakopoulos, George; Tzes, Antonios.

    IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. 2006. p. 3161-3165 4153139.

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

    Dritsas, L, Nikolakopoulos, G & Tzes, A 2006, Constrained finite time optimal control of a micro-capacitor. in IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics., 4153139, pp. 3161-3165, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, Paris, France, 11/6/06. https://doi.org/10.1109/IECON.2006.347557
    Dritsas L, Nikolakopoulos G, Tzes A. Constrained finite time optimal control of a micro-capacitor. In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. 2006. p. 3161-3165. 4153139 https://doi.org/10.1109/IECON.2006.347557
    Dritsas, Leonidas ; Nikolakopoulos, George ; Tzes, Antonios. / Constrained finite time optimal control of a micro-capacitor. IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. 2006. pp. 3161-3165
    @inproceedings{7925d9201cf9474399e0bb206833b3a6,
    title = "Constrained finite time optimal control of a micro-capacitor",
    abstract = "In this article the control problem of a non-linear micro-capacitor (μ - C) is considered. Utilization of FEM can approximate the μ - A dynamics nonlinear-PDE to a finite nonlinear-ODE. The nonlinearity stems from the plate's rigid-body motion, while all flexibility effects are considered as additive linear-terms. The control methodology we employ is a combination of two ideas. First we use standard linearization techniques to compute PWA approximations of the original nonlinear system around multiple operating points. Next we employ the theory of Constrained Fine Time Optimal Controllers (CFTOC) in order to design (off-line) explicit switching controllers for the set of PWA systems obtained in the first step. The ensuing switched PWA controller is applied to the the original-nonlinear system. We investigate, via extensive simulations, the efficacy of using this control approach for output set-point tracking objectives.",
    author = "Leonidas Dritsas and George Nikolakopoulos and Antonios Tzes",
    year = "2006",
    month = "12",
    day = "1",
    doi = "10.1109/IECON.2006.347557",
    language = "English (US)",
    isbn = "1424401364",
    pages = "3161--3165",
    booktitle = "IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics",

    }

    TY - GEN

    T1 - Constrained finite time optimal control of a micro-capacitor

    AU - Dritsas, Leonidas

    AU - Nikolakopoulos, George

    AU - Tzes, Antonios

    PY - 2006/12/1

    Y1 - 2006/12/1

    N2 - In this article the control problem of a non-linear micro-capacitor (μ - C) is considered. Utilization of FEM can approximate the μ - A dynamics nonlinear-PDE to a finite nonlinear-ODE. The nonlinearity stems from the plate's rigid-body motion, while all flexibility effects are considered as additive linear-terms. The control methodology we employ is a combination of two ideas. First we use standard linearization techniques to compute PWA approximations of the original nonlinear system around multiple operating points. Next we employ the theory of Constrained Fine Time Optimal Controllers (CFTOC) in order to design (off-line) explicit switching controllers for the set of PWA systems obtained in the first step. The ensuing switched PWA controller is applied to the the original-nonlinear system. We investigate, via extensive simulations, the efficacy of using this control approach for output set-point tracking objectives.

    AB - In this article the control problem of a non-linear micro-capacitor (μ - C) is considered. Utilization of FEM can approximate the μ - A dynamics nonlinear-PDE to a finite nonlinear-ODE. The nonlinearity stems from the plate's rigid-body motion, while all flexibility effects are considered as additive linear-terms. The control methodology we employ is a combination of two ideas. First we use standard linearization techniques to compute PWA approximations of the original nonlinear system around multiple operating points. Next we employ the theory of Constrained Fine Time Optimal Controllers (CFTOC) in order to design (off-line) explicit switching controllers for the set of PWA systems obtained in the first step. The ensuing switched PWA controller is applied to the the original-nonlinear system. We investigate, via extensive simulations, the efficacy of using this control approach for output set-point tracking objectives.

    UR - http://www.scopus.com/inward/record.url?scp=50249084920&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=50249084920&partnerID=8YFLogxK

    U2 - 10.1109/IECON.2006.347557

    DO - 10.1109/IECON.2006.347557

    M3 - Conference contribution

    SN - 1424401364

    SN - 9781424401369

    SP - 3161

    EP - 3165

    BT - IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics

    ER -