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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/38406

    Title: Global stabilizing state feedback controller for systems containing double integrator and saturation nonlinearity
    Authors: 田豐;Tyan, Feng
    Contributors: 淡江大學航空太空工程學系
    Keywords: 狀態回授控制;李亞普諾夫函數;飽和線性控制器;State Feedback Control;Lyapunov Function;Saturating Linear Controller
    Date: 1998-12
    Issue Date: 2010-01-11 15:13:33 (UTC+8)
    Publisher: 逢甲大學
    Abstract: In this paper, we present a Lyapunov function for a system (may contain double integrator) with saturating controller. As usual this Lyapunov function is composed of a quadratic term and an integral term. However, instead of using a positive definite quadratic term, a positive semidefinite quadratic term is used. By using this Lyapunov function we show that for a double integrator system it can be globally stabilized by a saturating linear controller, however, for a triple-integrator system the saturating linear controller does not exist, which agrees with the known result.
    Relation: 中國航空太空學會八十七年年會暨第四十屆學術研討會論文集(下冊), pp.603-610
    Appears in Collections:[Graduate Institute & Department of Aerospace Engineering] Proceeding

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