Stabilization under shared communication with message losses and its limitations

TL;DR

This paper investigates the challenges of stabilizing a remote linear control system over a shared, unreliable communication channel, proposing an H-infinity design framework and analyzing fundamental communication limitations.

Contribution

It introduces a novel synthesis approach for stabilization under shared, lossy communication channels using an H-infinity framework and explores inherent communication constraints.

Findings

H-infinity design framework for stabilization

Limitations in communication required for control

Impact of message losses on control stability

Abstract

We consider a synthesis problem for a remotely controlled linear system where the communication is constrained because of the shared and unreliable nature of the channel. Modeling the constraints by a periodic transmission scheme and random message losses, we present an H-infinity design framework and study the limitations in the communication required for stabilization.