Abstract
This work investigates the self-triggered control issue for interval type-2 (IT2) fuzzy systems. The transmission of the system state is determined via a self-triggered scheme. Instead of continuously monitoring the prespecified triggering condition, the self-triggered scheme can calculate the next triggering instant by the latest triggered state information. Then, by means of the triggered state, a self-triggered IT2 fuzzy controller is designed, whose fuzzy rules and membership functions (MFs) can be flexibly selected independent of the controlled fuzzy system. Under the constraint of imperfectly premise matching, the relationship between the triggered state and the system state is explicitly established, and the boundaries of MFs in the local operation region are given. Meanwhile, the local boundary information is utilized to obtain the relaxed feasible conditions. Finally, the simulation examples are give and the comparison with other triggered schemes are also made.
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