Abstract
This paper studies the problem of stabilization for an interval type-2 Takagi-Sugeno-Kang fuzzy logic control system (IT2 TSK FLCS) with time varying delay. A type-1 fuzzy system (T1 FS) is used for modeling the plant, then an interval type-2 fuzzy system (IT2 FS) is used for constructing the controller which has been realized better abilities to handle uncertainties than its T1 counterpart. A less-redundant Lyapunov-Krasovskii function and a useful linear matrix inequality (LMI) are constructed, which make the closed-loop system stabilization analysed in a mathematical way. It provides a novel way to deal with the stabilization problem of IT2 TSK FLCS with time varying delay.
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