Abstract
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 probability and plant dynamical characteristics.
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