Self-Triggered Impulsive Control for Disturbed T-S Fuzzy Delay Systems

In this article, we devote to investigate the self-triggered impulsive control (STIC) approaches for input-to-state stability (ISS) of nonlinear T-S fuzzy delay systems. With the help of the Lyapunov–Razumikhin technique, an ISS-type comparison principle is proposed. The designed self-triggering mechanism (STM) can predict the next impulse instant only using the current state information, different from the existing event-triggered results that need a continuous state monitor. Based on such an STM, some impulsive controller design schemes for ISS of T-S fuzzy delay systems are provided. In addition, non-Zeno behavior can be guaranteed automatically without extra limitations. Finally, two simulations are provided to verify the effectiveness of the proposed theoretical results.