An analogue of Shannon information theory for networked control systems: State estimation via a noisy discrete channel

作者：Alexey S. Matveev, Andrey V. Savkin · 发表于：2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) · 年份：2004 · DOI：10.1109/cdc.2004.1429457 · 被引用次数：45 · 研究领域：Stability and Control of Uncertain Systems、Distributed Sensor Networks and Detection Algorithms、Control Systems and Identification

The paper addresses a state estimation problem involving bit-rate communication capacity constraints. A discrete-time partially observed linear system is studied. Unlike the classic theory, the sensor signals are transmitted to the estimator over a noisy digital communication channel. A recursive coder-decoder state estimation scheme is proposed and investigated. It is shown that the classic Shannon's noisy channel capacity constitutes the border separating the cases where the reliable state estimation is and, respectively, is not possible with arbitrarily high probability.