Fuzzy sampled-data H<inf>∞</inf> filtering for systems with time-varying delays and variable sampling periods

The sampled-data H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filtering for a Takagi-Sugeno (T-S) model-based fuzzy system with an interval time-varying state delay and a variable sampling period is considered. A new Lyapunov-Krasovskii functional is constructed by utilizing more information about the system's current state and the delayed state. Based on the new Lyapunov-Krasovskii functional and a novel inequality bounding technique, a suitable sampled-data fuzzy H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filter is designed to ensure the asymptotic stability and prescribed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> attenuation level of the filter error system. A numerical example and a modified continuous stirred tank reactor (CSTR) system are given to illustrate the effectiveness of the proposed method.