Control with erasure channels: performance characterization using an equivalent SNR constrained problem

Abstract

This paper presents an analytical expression for the optimal stationary performance in the control of multiple-input linear time-invariant (LTI) plants when controlled over erasure channels. In particular, we consider a class of LTI controllers with a data-dropout compensation mechanism. To derive our results, we exploit a statistical equivalence between a feedback system with an erasure channel, and a feedback system with an additive white noise (AWN) channel subject to a signal-to-noise ratio (SNR) constraint. This equivalence allows us to use standard H2 optimization techniques to find an analytical characterization of the optimal performance in terms of the successful transmission probab..