Exponential Stabilization of Nonlinear Impulsive Systems via Output-Based Event-Triggered Control
Haoliang Liu, Xiaodi Li
Abstract
This article applies output-based event-triggered control (ETC) strategies to nonlinear systems involving impulses and investigates the problem for globally exponential stability (GES). The impulses are not directly related to events and two kinds of control schemes (static and dynamic ETC) are fully considered, respectively. Moreover, the stabilizing and destabilizing impulses can coexist (i.e., hybrid impulses). By employing properties of impulsive system theory and Lyapunov conditions, some theoretical conditions for GES and non-Zeno behavior are derived under static and dynamic event-triggered mechanism, respectively. And the results for stability are different but complementary to each other. Based on the linear matrix inequality, the design criteria of expected triggered mechanism and control gains are derived. Finally, two numerical examples containing simulations are given to demonstrate the effectiveness of the proposed control strategy.