Event-triggered Control With Self-triggered Sampling for Discrete-time Uncertain Systems

Abstract

This paper proposes a resource-aware control approach for discrete-time linear uncertain systems. The approach uses a self-trigger condition to determine the sampling time to guarantee that the system is uniformly ultimately bounded and an eventtrigger condition to determine control updates. The self-trigger condition is constructed using the skewed structured singular value to treat uncertainties in the prediction, and the event-trigger condition is constructed by considering the costs of sampling and control updates. A numerical example is provided to illustrate the approach.

Adaptive Event-Triggered Near-Optimal Tracking Control for Unknown Continuous-Time Nonlinear Systems

“…For example, when the system works in a stable state, periodic sampling will cause the unnecessary waste of resources. For networked control systems, the periodic sampling can increase the computational cost as well as the communication burden [30]- [33]. In order to reduce the burden of computing and communication, researchers have proposed event-triggered control (ETC).…”

A new input-based event-triggered control of a discrete-time singularly perturbed system under a resource constraint environment

“…F OR more than a decade, event-triggered control (ETC) [1]- [3] has been explored extensively in the control literature. The seminal concept of ETC is that the broadcast of current measurements of the system and updates of the control law can be delayed until a pre-designed condition on system states is satisfied [1]- [5].…”

“…In case of continuous ETC [2], [4], additional computation is required to show that the closedloop system maintains satisfactory performance and excludes the Zeno phenomenon. However, the Zeno phenomenon can be automatically avoided in discrete-time systems [3], [5], [12].…”

Event-triggered stabilizing controllers for switched linear systems

“…Control strategies in which the times of the control update are known beforehand are the topic of self-triggered control, a variant of event-triggered control. Self-triggered control is most often encountered in the framework of discrete-time systems [1], [2] [3].…”