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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/98860

    Title: Time-Optimal Control of T-S Fuzzy Models via Lie Algebra
    Authors: Lin, Pao-Tsun;Wang, Chi-Hsu;Lee, Tsu-Tian
    Contributors: 淡江大學電機工程學系
    Date: 2009-08
    Issue Date: 2014-09-24 09:53:25 (UTC+8)
    Publisher: Piscataway: Institute of Electrical and Electronics Engineers
    Abstract: This paper investigates a geometric property of time-optimal problem in the Takagi-Sugeno (T-S) fuzzy model via Lie algebra. We will focus on the existence of a time-optimal solution, singularity of switching function, and number of switching. These inherent problems are considered because of their rich geometric properties. The sufficient condition for the existence of a time-optimal solution reveals the controllability of T-S fuzzy model that can be found by the generalized rank condition. The time-optimal controller can be found as the bang-bang type with a finite number of switching by applying the maximum principle. In the study of the singularity problem, we will focus on the switching function whenever it vanishes over a finite time interval. Finally, we show that the bounded number of switching can be found if the T-S model (also a nonlinear system) is solvable.
    Relation: IEEE Transactions on Fuzzy Systems 17(4), pp.737-749
    DOI: 10.1109/TFUZZ.2008.924321
    Appears in Collections:[電機工程學系暨研究所] 期刊論文

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