Finite-Time H∞ Observer Control for Takagi-Sugeno Fuzzy Systems Using Event-Triggered Strategies

This paper investigates H _∞ control design with finite-time convergence for discrete-time Takagi-Sugeno (TS) fuzzy models. A dynamic observer-based event-triggered mechanism (DOBETM) is introduced to regulate communication between the controller and the plant, demonstrating superior efficiency in reducing data traffic compared to conventional static approaches. First, it is proven that the proposed DOBETM eliminates Zeno phenomena while achieving a longer minimum inter-event interval than static observer-based methods. Following this, an improved finite-time H _∞ performance criterion is then established using an innovative Lyapunov-type function incorporating an auxiliary dynamic variable. Finally, Lyapunov-based analysis and numerical studies jointly validate the finite-time H _∞ control performance in closed-loop configurations through an inverted pendulum case study.