Exploiting timing information in event-triggered stabilization of linear systems with disturbances

TL;DR

This paper introduces a timing-based event-triggering strategy for stabilizing linear systems over digital channels, providing both a sufficient encoding scheme and a lower bound on necessary information rates.

Contribution

It proposes a novel timing-based event-triggering method that enhances stabilization of linear systems over communication channels, with theoretical bounds on information rates.

Findings

Designed an encoding-decoding scheme ensuring stabilization with a given information rate

Established a lower bound on the information transmission rate needed for stabilization

Demonstrated the effectiveness of timing information in control over digital channels

Abstract

In the same way that subsequent pauses in spoken language are used to convey information, it is also possible to transmit information in communication networks not only by message content, but also with its timing. This paper presents an event-triggering strategy that utilizes timing information by transmitting in a state-dependent fashion. We consider the stabilization of a continuous-time, time-invariant, linear plant over a digital communication channel with bounded delay and subject to bounded plant disturbances and establish two main results. On the one hand, we design an encoding-decoding scheme that guarantees a sufficient information transmission rate for stabilization. On the other hand, we determine a lower bound on the information transmission rate necessary for stabilization by any control policy.