Global Adaptive Event-Triggered Designated-Time Stabilization of Uncertain Nonlinear Systems

This paper explores the adaptive exponentially designated-time stabilization issue via event-triggered feedback for a kind of uncertain high-order nonlinear systems. The motivation mainly comes from the following two challenges: the undesired singularity problem arising from infinite control gains at the prescribed-time instant, the effective tradeoff between the control amplitude and the triggering duration. The goal is to build an event-triggered mechanism comprising a skillful triggered rule alongside a time-dependent threshold. Utilizing the designed control strategy, the solutions' existence and the prevention of Zeno phenomenon are successfully guaranteed by using a new transformation equipped with a time-varying function and redesigning the continuous state-feedback dominance approach with an array of integral functions involving embedded sign functions. Better than existing prescribed-time methods, our approach not only ensures that state variables converge to a small compact set before a designated time and stay there henceforth, and converge to the origin exponentially, but also ensures that the controller continuously works on the whole-time horizon. Two illustrative examples are given to show the effectiveness of the devised scheme.