Dynamic Event-Triggered Control for Interval Type-2 Fuzzy Systems Under Fading Channel

• Published in: IEEE transactions on cybernetics Vol. 51; no. 11; pp. 5342 - 5351
• Main Authors: Zhang, Zhina, Su, Shun-Feng, Niu, Yugang
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.11.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Control systems; Controllers; Criteria; Data transmission; Dynamic event-triggered (ET) scheme; Event triggered control; Fading; fading channel; Fading channels; Feedback control; Fuzzy control; Fuzzy systems; interval type-2 (IT2) fuzzy system; Mass-spring-damper systems; membership function dependent (MFD); Random processes; Stability analysis; Stability criteria; Stochastic processes
• ISSN: 2168-2267; 2168-2275; 2168-2275
• DOI: 10.1109/TCYB.2020.2996296

This article is to tackle the event-based state-feedback control problem for interval type-2 (IT2) fuzzy systems subject to the fading channel. For saving communication resources, a dynamic event-triggered (ET) mechanism is utilized to decide the data transmission from sensors to the controller. A time-varying random process is employed to characterize the fading phenomenon in the unpredictable communication network. By considering the effect of channel fading, a nonparallel distribution compensation (non-PDC) IT2 fuzzy controller is synthesized and its number of rules and membership functions (MFs) can be freely selected. As a consequence, the closed-loop fuzzy system possesses imperfectly matched MFs. By taking the global membership boundary information into stability analysis, the membership-function-dependent analysis method is employed to handle these imperfectly matched MFs and to obtain relaxed criteria. Besides, sufficient criteria are obtained so that the resulting closed-loop IT2 fuzzy system can achieve stochastic stability despite fading measurements. The effectiveness of the proposed method is illustrated by a mass-spring-damper system and a numerical example.