Robust Stability Analysis for T‐S Fuzzy Systems Under Adaptive Event‐Triggered Control

This paper studies the robust control for T‐S fuzzy systems with random time‐varying delays. A fuzzy model is applied to tackle the stochastic delays. To save communication resources, a new adaptive event‐triggered scheme (AETS) is proposed, which adjusts the threshold based on state and relative errors. An improved Lyapunov‐Krasovskii functional (LKF) is constructed using delay decomposition techniques. Less conservative results are obtained through partitioning the delay interval and incorporating the probabilistic distribution within each segment. Unlike existing methods, this approach integrates delay derivative information into the analysis of systems. Two numerical examples thoroughly demonstrate the superiority of our approach.