Global adaptive stabilization via more efficient event‐triggered feedback for uncertain nonlinear systems

Abstract

AbstractThis paper typically concerns more efficient event‐triggered implementation, and specifically establishes an adaptive event‐triggered framework to achieve global stabilization for a class of uncertain nonlinear systems while reducing both sensor‐to‐controller and controller‐to‐actuator communication (rather than only one‐side communication). First, a novel switching event‐triggering mechanism is proposed to determine when to transmit information and adjust parameters. Particularly, with the switching varying mechanism incorporated, not only large uncertainties (whose bounds are unknown) but also inherent nonlinearities can be effectively dealt with. Then, a linear simple controller, rather than a complicated nonlinear one as in the related literature, is designed based on the switching event‐triggering mechanism. It turns out that the closed‐loop system states converge to zero while no infinitely fast sampling/execution or infinite switchings occur. Notably, just owing to the linearity of controller function, the controller signal is kept from entering the event‐triggering mechanism, which enables the sensor‐to‐controller event‐triggered communication. Besides, by strengthening the switching varying mechanism, an explicit pre‐evaluation is derived for the lower bound of inter‐execution intervals, in order to ensure moderate communication rates for reliable implementation of the event‐triggered controller.