Dynamic event-triggered output feedback control for a class of nonlinear systems with time-varying delays

Abstract

This note studies the problem of dynamic event-triggered output feedback control for a class of nonlinear systems under homogeneous growth condition with unknown growth rate and time delays. Firstly, in order to deal with unknown growth rate and time-varying state delays, a double-gain dynamic scheme is introduced and a suitable Lyapunov–Krasovskii functional is selected. Secondly, a dynamic event-triggered strategy is proposed by introducing the dynamic gain to the event-triggered condition, which makes the triggering threshold be tuned dynamically. Compared with some existing works related to event-triggered strategy, the proposed strategy is more flexible for saving communication resources. Subsequently, a new output feedback control law is developed in the context of event-triggered mechanism to guarantee the boundedness of system signals while the system states globally enter a compact set around the origin. Finally, two examples are given to show the feasibility and merit of the presented scheme.