Stability and tracking of linear Gaussian systems over AWGN channel with intermittent deterministic feedback channel

This paper shows that innovation encoder, the Kalman filter decoder and certainty equivalent controller are still good choices for stability and tracking of linear Gaussian systems over Additive White Gaussian Noise (AWGN) channel in the presence of intermittent deterministic noiseless feedback channel. When feedback channel is described by a deterministic switch, for both stable and unstable systems, an innovation encoder, the Kalman filter decoder and a certainty equivalent controller are presented for stability and tracking over AWGN channel provided channel input power constraint is not violated and the system is controllable. Then, it is illustrated that when feedback channel is frequently available, performance of the system is similar to the optimal performance which corresponds to the case of full time availability of noiseless feedback channel.