Estimation and Control over a Nonstochastic Binary Erasure Channel

https://doi.org/10.1016/j.ifacol.2018.12.046Get rights and content

Abstract

This paper considers a binary channel which erases up to a given number of bits in each consecutive block of given length, without any statistical structure. Nonzero upper and lower bounds on the zero-error capacity of the channel are found, as well as an exact expression for its zero-error capacity with perfect feedback. The results are compared with the stochastic case, and then used to find separate necessary and sufficient conditions to be able to uniformly estimate and control the states of a linear system with bounded noise via the channel.

Keywords

Networked control
zero-error capacity
erasure channel
data loss
burst-erasure

Cited by (0)

The second author is supported by a McKenzie Postdoctoral Fellowship from the University of Melbourne. The third author is the recipient of Future Fellowship FT140100527 from the Australian Research Council.

View Abstract