Numerical approximation of the data-rate limit for state estimation under communication constraints
Abstract
In networked control, a fundamental problem is to determine the smallest capacity of a communication channel between a dynamical system and a controller above which a prescribed control objective can be achieved. Often, a preliminary task of the controller, before selecting the control input, is to estimate the state with a sufficient accuracy. For time-invariant systems, it has been shown that the smallest channel capacity above which the state can be estimated with an arbitrarily small error, depending on the precise formulation of the estimation objective, is given by the topological entropy or a quantity named restoration entropy, respectively. In this paper, we propose an algorithm that computes rigorous upper bounds of , based on previous analytical estimates.
Cite
@article{arxiv.1804.04432,
title = {Numerical approximation of the data-rate limit for state estimation under communication constraints},
author = {Sigurdur Hafstein and Christoph Kawan},
journal= {arXiv preprint arXiv:1804.04432},
year = {2018}
}