Control over a bandwidth limited signal to noise ratio constrained communication channel

Stabilisability of a minimum phase unstable continuous plant is studied under the presence of a bandwidth limited and Signal to Noise Ratio constrained communication link. The problem is addressed in two different ways: first through the use of an LTI filter explicitly modelling the bandwidth limitation, and in second place, for the case of one real unstable pole, through the Poisson Integral Formula and design attenuation requirements on the power outside the assigned bandwidth. Results show that when a bandwidth limitation is in existence this increases the minimum value of Signal to Noise Ratio required for stabilisability. An example is used to study both approaches.