Networked feedback stabilization over quantized fading channels

In this paper, the networked control systems (NCSs) in discrete-time with quantized fading channel are studied. It is assumed that the transmission channel exists between the controller output and the plant input, and its effect is modeled as a combination of logarithmic quantization and multiplicative random noises. The stabilization problem of the underlying NCS under state feedback is investigated for both single-input and multi-input cases. The solvability condition of the problem is given by the relationship between the channel capacity and the system´s Mahler measure. When the condition holds, both the stabilizing controller and the resource allocation are constructed.