Observer-Based Global Event-Triggered Control for a Class of Switched Nonlinear Systems

Abstract

This note studies the global event-triggered control problem for a class of switched nonlinear systems in the sense of output feedback by the average dwell-time method. Since system switching has no regularity and the controller is only updated at triggering instants, the mismatch behavior may happen between the controller and its corresponding subsystem, which may lead to a destroyed system performance. To derive a flexible triggering condition and solve this problem, two dynamic gains are introduced and a mode-dependent dynamic triggering mechanism is designed. Then, by using the weighted homogeneity and inequality techniques, a mode-dependent dynamic event-triggered controller is developed by output feedback, under which the system states can globally enter an adjusted neighborhood of the origin. Meantime, by the skillful use of the right-continuous property of the switching signal, the Zeno behavior is proved to be avoided. Finally, as the effectiveness verification, two practical examples are provided.