Stabilization of non-minimum phase plants over signal-to-noise ratio constrained channels

We recently considered feedback stabilization over a signal to noise ratio (SNR) constrained channel. The results were examined for the state feedback and minimum phase cases, with links to bit-rate limited control. In this paper, we extend this analysis to non-minimum phase (NMP) plants, and show that for linear time invariant (LTI) control, NMP zeros further constrain the ability to stabilize over an SNR limited channel. This differs from the situation of bit-rate limited stabilization where NMP zeros do not play a role. We show that by considering linear time varying feedback the effect of NMP zeros in SNR limited stabilization may be eliminated.