淡江大學機構典藏:Item 987654321/55110
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/55110


    Title: Fuzzy output regulator design of discrete affine systems with multiple time-varying delays
    Authors: Chiang, Tung-sheng;Chiu, Chian-song;Liu, Peter
    Contributors: 淡江大學電機工程學系
    Keywords: T–S fuzzy model;Output regulation;Affine system;Time-varying delay;LMI
    Date: 2009-02
    Issue Date: 2011-08-15 14:22:37 (UTC+8)
    Publisher: Amsterdam: Elsevier BV * North-Holland
    Abstract: This paper presents a Takagi–Sugeno (T–S) fuzzy model-based regulator for a class of discrete affine nonlinear systems with multiple time-varying delays. First, combining the T–S fuzzy representation and Lyapunov–Krasovskii method, we derive the sufficient conditions for the unforced affine system with multiple time-varying delays, disturbances, and non-vanishing bias at the origin. These stability conditions are not derived in current literature. Next, the fuzzy output regulator is proposed by introducing a memoryless fuzzy observer and a fuzzy integral compensator. Then, asymptotic output regulation and state estimation is achieved by solving linear matrix inequalities (LMIs) in a two-step manner. Moreover, an H∞ performance criterion is guaranteed for disturbance attenuation. Compared to traditional approaches, this paper does not require exact information of partial states, each time-varying delay, and the desired operational point. The proposed controller yields a multi-task regulation without needing controller redesign once the output command is changed. Finally, numerical simulations are carried out on two intuitive time-delay systems to illustrate the expected performance.
    Relation: Fuzzy Sets and Systems 160(4), pp.463-481
    DOI: 10.1016/j.fss.2008.07.013
    Appears in Collections:[Graduate Institute & Department of Electrical Engineering] Journal Article

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