Dynamic event-triggered intermittent control for stabilization of delayed dynamical systems

Abstract

This paper studies the dynamic event-triggered intermittent control (D-ETIC) for the stabilization of delayed dynamical systems (DDS). The stabilization of DDS via general intermittent control is formulated as a problem of delay-dependent minimal activation time rate (MATR). A D-ETIC scheme with input delay is proposed to stabilize DDS. The delay-dependent MATR is estimated. And the maximal input delay allowed in D-ETIC is estimated for quasi-linear DDS. Both theoretical and numerical comparisons are given among D-ETIC, static ETIC (S-ETIC), and the recently developed static intermittent control schemes, including time-triggered intermittent control and event-triggered aperiodic intermittent control. It is shown that the proposed D-ETIC achieves the lowest MATR. It is also shown that larger delays, including the time delay in DDS and the input delay in D-ETIC, may lead to more control activation time for the stabilization.