The Exponential Stabilization for Nonlinear System via Adaptive Asynchronous Event‐Triggered Output‐Feedback

This study investigates an adaptive asynchronous event‐triggered output‐feedback scheme for uncertain nonlinear systems, aiming to achieve exponential stabilization. Typically, these systems permit uncertain control directions and unmeasurable state‐dependent rates simultaneously. Firstly, with unmeasurable states rebuilt via the system output and gain samples, the proposed approach integrates the dynamic exponential gain controlled by event‐triggering mechanisms, which concurrently address large uncertainties while ensuring exponential state convergence. Secondly, the control architecture incorporates double‐sided asynchronous event‐triggering mechanisms for sensor‐controller and controller‐actuator channels, with execution intervals online adjusted based on real‐time variations in system outputs, observer states, and dynamic gains to adaptively compensate for sampling/execution errors. Hence, the adaptive asynchronous event‐triggered output‐feedback scheme is presented, which eventually attains exponential convergence. Finally, the simulation results substantiate the developed control scheme's effectiveness in conserving communication resources.