Dissipativity Analysis and Control for Takagi‐Sugeno Fuzzy Systems Under Sampled‐data Control via a Sampling‐point‐dependent Lyapunov Functional

ABSTRACT This paper presents a study on dissipativity analysis and control synthesis for Takagi‐Sugeno fuzzy systems under sampled‐data control. First, a novel sampling‐point‐dependent Lyapunov functional is constructed, which incorporates augmented integral terms to capture temporal information over entire sampling intervals fully. Communication delays are also explicitly integrated into this functional. Then, the free‐matrix‐based integral inequality is applied to derive rigorous bounds for estimating the time derivative of the Lyapunov functional. These developments collectively lead to a less conservative dissipativity criterion and provide a systematic design method for sampled‐data controllers that ensure strict ‐‐dissipativity of the closed‐loop system. Finally, numerical examples are provided to demonstrate the theoretical advantages and practical effectiveness of the proposed methods.