Fast finite‐time adaptive event‐triggered tracking for uncertain nonlinear systems.

Summary: 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. [ABSTRACT FROM AUTHOR]