Fast finite-time adaptive event-triggered tracking for uncertain nonlinear systems

This article investigates the fast finite-time adaptive tracking control via event-triggered mechanism for a class of high-order uncertain nonlinear systems. An adaptive tracking controller is constructed for the first time by utilizing a new fast finite-time performance function and a serial of transformations equipped with a barrier function and event-triggering rules, which guarantees that the tracking error is restricted in a time-varying prescribed region and converges to an arbitrarily small constant in a faster speed compared with some traditional finite-time control strategies. A remarkable feature of this article is to avoid Zeno phenomenon without taking a derivative with respect to the absolute value of the event-triggered error which may not be differentiable at some discrete points. Finally, a simulation example is provided to verify the feasibility and effectiveness of theoretical results.