Event-triggered control under time-varying rates and channel blackouts

TL;DR

This paper develops an event-triggered control strategy for linear systems over time-varying, rate-limited channels with blackouts, ensuring stability and performance despite communication interruptions.

Contribution

It introduces the concept of channel blackouts, provides a real-time data capacity lower bound, and designs a control method guaranteeing exponential stabilization despite blackouts.

Findings

Guaranteed exponential stabilization under blackouts

Efficient real-time data capacity lower bound algorithm

Validated effectiveness through simulations

Abstract

This paper studies event-triggered stabilization of linear time-invariant systems over time-varying rate-limited communication channels. We explicitly account for the possibility of channel blackouts, i.e., intervals of time when the communication channel is unavailable for feedback. Assuming prior knowledge of the channel evolution, we study the data capacity, which is the maximum total number of bits that could be communicated over a given time interval, and provide an efficient real-time algorithm to lower bound it for a deterministic time-slotted model of channel evolution. Building on these results, we design an event-triggering strategy that guarantees Zeno-free, exponential stabilization at a desired convergence rate even in the presence of intermittent channel blackouts. The contributions are the notion of channel blackouts, the effective event-triggered control despite their occurrence, and the analysis and quantification of the data capacity for a class of time-varying continuous-time channels. Various simulations illustrate the results.