Input-to-State Stabilization of Nonlinear Discrete-Time Systems with Event-Triggered Control

This paper studies the event-triggered control problem of nonlinear discrete-time systems in the presence of external disturbances. In particular, we focus on the case in which whether or not the system state is sampled at step k is determined by the feedback information at step k - 1. This problem is motivated by practical applications, and the proposed solution drastically differs from the existing event-based control methods. One of the fundamental difficulties is caused by the existence of external disturbances in predicting x(k) by using x(k - 1). In this paper, refined tools of input-to-state stability (ISS) and the nonlinear small-gain theorem are developed to estimate the influence of external disturbances, and an input-to-state stabilizing design is proposed to solve the event-triggered control problem.