Quantized Feedback Control for Networked Control Systems under Information Limitation

Abstract

This paper investigates quantized control problems for linear time-invariant systems, where the sensors and controllers are geographically separated and connected by a digital communication network. This kind of problems arise in the source coding of signals between controllers and sensors in systems where feedback loops are closed using bandwidth-limited communication links. Sufficient conditions for stabilization of the unstable plant in the presence of limited information are derived. A lower bound on data rates, above which there exists a quantization, coding and control scheme to guarantee both stabilization and a certain control performance, is presented. The proof techniques rely on both information-theoretic and control-theoretic tools. An illustrative example is given to demonstrate the effectiveness of the proposed scheme.

http://dx.doi.org/10.5755/j01.itc.40.3.630