Independent Source Coding for Control over Noiseless Channels

By focusing on a class of source coding schemes built around entropy coded dithered quantizers, we develop a framework to deal with average data-rate constraints in a tractable manner that combines ideas from both information and control theories. We focus on a situation where a noisy linear system has been designed assuming transparent feedback and, due to implementation constraints, a source coding scheme has to be deployed in the feedback path. We give a closed form expression for the minimal average data-rate required to achieve a given performance level, and also study the interplay between stability and average data-rates for the considered architecture.