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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/75130

    Title: Robust output tracking control for discrete-time nonlinear systems with time-varying delay: Virtual fuzzy model LMI-based approach
    Authors: Chiang, Tung-Sheng;Liu, Peter
    Contributors: 淡江大學電機工程學系
    Keywords: Time-delay systems;T–S fuzzy;Virtual desired variables;Linear matrix inequalities
    Date: 2012-02
    Issue Date: 2012-03-13 11:25:53 (UTC+8)
    Publisher: Kidlington: Pergamon
    Abstract: This paper proposes an output tracking control via virtual reference model for a class of nonlinear discrete-time systems with time-varying delay and disturbance. First, a Takagi–Sugeno (T–S) fuzzy model represents the discrete-time nonlinear system with time-varying delay. Second, a fuzzy observer design estimates immeasurable state. Third, a virtual desired variable (VDV) based tracking controller design guarantees H∞ control performance for the overall system. Using Lyapunov’s stability analysis, we obtain sufficient conditions for stability of estimation, control, and robustness. The advantages are as follows: (i) allow unknown time-varying delay; (ii) ensure robust output tracking; (iii) provide relaxed conditions via a three-steps procedure to find observer and controller gain. To verify the theoretical derivation, we carry out numerical simulations on a stirred tank reactor system as an example. Satisfactory results validate the claims.
    Relation: Expert Systems with Applications 39(9), pp.8239–8247
    DOI: 10.1016/j.eswa.2012.01.163
    Appears in Collections:[Graduate Institute & Department of Electrical Engineering] Journal Article

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