Event-triggered adaptive practical finite-time control of p-normal nonlinear systems with multiple uncertainties

This is the authors' abstract. We don't add key points for this paper.

Focusing on a type of p -normal nonlinear systems involving multiple uncertainties, this paper presents an investigation into their event-triggered adaptive practical finite-time stability (PFTS) problem. The Nussbaum function is modified, and a novel lemma is established by introducing the class 𝒦 ∞ functions, which will relax the conservatism of the Nussbaum parameter and augment the applicability of the control algorithm. By embedding the event-triggering mechanism into the adaptive finite-time control design, the proposed framework reduces unnecessary control updates while preserving the desired transient behavior. The presented control methodology ensures that the closed-loop system achieves PFTS, which improves the existing results that merely ensure boundedness or asymptotic stability. Leveraging the contradiction augment and Lyapunov theory, it is established that the Zeno phenomenon is avoided in the event-triggered mechanism. To demonstrate the efficacy of the presented control approach, two simulations are ultimately performed.