Data Rate Limitations for Stabilization of Uncertain Systems over Lossy Channels

TL;DR

This paper investigates the minimum data rate and packet loss conditions necessary for stabilizing uncertain discrete-time linear systems over lossy communication channels, extending existing networked control results.

Contribution

It derives necessary and sufficient conditions linking data rate, packet loss, and plant uncertainties for stabilization, with exact results for scalar plants.

Findings

Derived necessary and sufficient data rate conditions

Extended stability criteria to uncertain systems over lossy channels

Provided exact scalar plant stability condition

Abstract

This paper considers data rate limitations for mean square stabilization of uncertain discrete-time linear systems via finite data rate and lossy channels. For a plant having parametric uncertainties, a necessary condition and a sufficient condition are derived, represented by the data rate, the packet loss probability, uncertainty bounds on plant parameters, and the unstable eigenvalues of the plant. The results extend those existing in the area of networked control, and in particular, the condition is exact for the scalar plant case.