Information Rate Decomposition for Feedback Systems with Output Disturbance

TL;DR

This paper analyzes how information resources are allocated in linear feedback control systems with output disturbances by decomposing the information rate, revealing that some resources are dedicated to disturbance transmission regardless of controller design.

Contribution

It introduces a method to decompose the information rate in feedback systems, providing insights into resource allocation independent of controller design.

Findings

A portion of communication resources is used to transmit output disturbances.

Resource allocation for disturbance transmission is independent of feedback controller design.

The decomposition offers a new perspective on resource management in feedback control systems.

Abstract

This technical note considers the problem of resource allocation in linear feedback control system with output disturbance. By decomposing the information rate in the feedback communication channel, the channel resource allocation is thoroughly analyzed. The results show that certain amount of resource is used to transmit the output disturbance and this resource allocation is independent from feedback controller design.