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

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.

Automated summary

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. A new intermittent control scheme based on an event-triggered mechanism is proposed, reducing unnecessary sampling times and resource waste. A novel Lyapunov function is introduced to simplify the proof process, and a less conservative bounded stability criterion is established.