Abstract
AbstractThis article studies the periodically intermittent control problem of discrete‐time switched interval type‐2 fuzzy systems (DSIT2FSs) with dwell time constraints. A novel switching‐path‐dependent Lyapunov functions (SPDLFs) approach, which utilizes the switching path information over multiple controller operation periods, is proposed. First, the ‐mode DSIT2FS with periodic intermittent control inputs is regarded as a switched system with controller‐busy modes and controller‐free modes. Then, by constructing a class of non‐increasing SPDLFs, sufficient conditions on the existence of intermittent interval type‐2 (IT2) fuzzy controllers are obtained for DSIT2FS with minimum dwell time constraints. The controller gains can be gotten by solving a set of strict linear matrix inequalities. It is shown that the designed IT2 fuzzy controllers work intermittently but still can guarantee stability and performance of the close‐loop systems. Finally, two numerical examples are provided to illustrate the effectiveness and advantages of the results.
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