This study presents a robust \({\mathcal{H}}_{\infty }\) control framework ensuring finite-time stabilization for discrete-time Takagi–Sugeno (TS) fuzzy systems. The approach uses a novel observer-based event-triggered scheme to reduce unnecessary data transmission between the controller and plant by only updating the control signal when specific stability conditions are violated. This study first proves that the proposed dynamic observer-based event-triggered mechanism (DOBETM) eliminates Zeno phenomena while achieving a longer minimum inter-event interval than static observer-based methods. Subsequently, an improved finite-time performance criterion is established using an innovative Lyapunov-type function that incorporates an auxiliary dynamic variable. Finally, Lyapunov-based analysis and numerical studies jointly validate the finite-time \(\mathcal{H}_{\infty}\) control performance in closed-loop configurations through an inverted pendulum case study.
