4.6 Article

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

Journal

IEEE TRANSACTIONS ON CYBERNETICS
Volume 51, Issue 11, Pages 5342-5351

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2020.2996296

Keywords

Fading channels; Stability criteria; Stochastic processes; Control systems; Fuzzy control; Dynamic event-triggered (ET) scheme; fading channel; interval type-2 (IT2) fuzzy system; membership function dependent (MFD)

Funding

  1. NNSF [61673174]
  2. 111 Project from China [B17017]

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This article addresses the event-based state-feedback control problem for interval type-2 fuzzy systems subject to fading channel, proposing a dynamic event-triggered mechanism and a nonparallel distribution compensation IT2 fuzzy controller. By considering channel fading effects and global membership boundary information, the article conducts stability analysis and obtains relaxed criteria.
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.

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