A New Intermittent Event-Triggered Bounded Stabilization Approach for Stochastic T-S Fuzzy Systems with External Disturbances

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Abstract

This article focuses on the bounded stabilization issue for stochastic Takagi-Sugeno (T-S) fuzzy systems with external disturbances under fuzzy intermittent event-triggered control. Different from the common intermittent control scheme, the intermittent control proposed is based on an event-triggered mechanism instead of a traditional time-triggered mechanism during the work intervals. As a result, it reduces unnecessary sampling times and resource waste to a great extent. Meanwhile, the minimum interexecution time is obtained for T-S fuzzy systems under the stochastic case. In addition, this article presents a novel Lyapunov function, which simplifies the proof compared to the traditional Lyapunov function for intermittent control. Based on the average control rate adopted and the Lyapunov method, a bounded stability criterion is established, which is less conservative. Then, a corollary is given under the fuzzy event-triggered control. Finally, an example is shown to illustrate the effectiveness of the results obtained.

Original languageEnglish
Pages (from-to)3031-3041
Number of pages11
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume53
Issue number5
DOIs
StatePublished - 1 May 2023
Externally publishedYes

Keywords

  • Bounded stability
  • external disturbances
  • intermittent event-triggered control
  • stochastic Takagia-Sugeno (Ta-S) fuzzy systems

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