Local-boundary-information-dependent control design for interval type-2 fuzzy systems under self-triggered scheme

This work investigates the self-triggered control issue for interval type-2 (IT2) fuzzy sys-tems. 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 inde-pendent 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 condi-tions. Finally, the simulation examples are give and the comparison with other triggered schemes are also made.CO 2022 Elsevier Inc. All rights reserved.

Automated summary

This work investigates the self-triggered control issue for interval type-2 (IT2) fuzzy systems. A self-triggered scheme is used to determine the transmission of the system state. A self-triggered IT2 fuzzy controller is designed, which allows flexible selection of fuzzy rules and membership functions (MFs) independent of the controlled fuzzy system. 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.