Minimum-Information LQG Control - Part I: Memoryless Controllers
Abstract
With the increased demand for power efficiency in feedback-control systems, communication is becoming a limiting factor, raising the need to trade off the external cost that they incur with the capacity of the controller's communication channels. With a proper design of the channels, this translates into a sequential rate-distortion problem, where we minimize the rate of information required for the controller's operation under a constraint on its external cost. Memoryless controllers are of particular interest both for the simplicity and frugality of their implementation and as a basis for studying more complex controllers. In this paper we present the optimality principle for memoryless linear controllers that utilize minimal information rates to achieve a guaranteed external-cost level. We also study the interesting and useful phenomenology of the optimal controller, such as the principled reduction of its order.
Cite
@article{arxiv.1606.01946,
title = {Minimum-Information LQG Control - Part I: Memoryless Controllers},
author = {Roy Fox and Naftali Tishby},
journal= {arXiv preprint arXiv:1606.01946},
year = {2018}
}