Systems with finite communication bandwidth constraints. II. Stabilization with limited information feedback

TLDR

The paper introduces a new class of feedback control problems. These systems impose communication channel constraints, making coding and communication protocols integral to analysis, and introduce the concept of containability for non‑asymptotically stabilizable unstable dynamics. Containability is linked to an inequality relating the communication data rate to the state’s rate of change. Refer to Part I, vol.

Abstract

For part I, see ibid., vol.42, p.1294-8, 1997. In this paper a new class of feedback control problems is introduced. Unlike classical models, the systems considered here have communication channel constraints. As a result, the issue of coding and communication protocol becomes an integral part of the analysis. Since these systems cannot be asymptotically stabilized if the underlying dynamics are unstable, a weaker stability concept called containability is introduced. A key result connects containability with an inequality equation involving the communication data rate and the rate of change of the state.