Control-oriented feedback communication schemes

In this paper, we show a general equivalence between feedback stabilization through an analog communication channel and a communication scheme based on feedback which is a generalization of that of Schalkwijk and Kailath. We also show that the achievable transmission rate of the scheme is given by the Bode´s sensitivity integral formula, which characterizes a fundamental limitation of causal feedback. Thus, control theory tools can be used to design feedback communication schemes. We consider single and multi-user Gaussian channels. In all the cases, we recover or improve best known achievable rates.