Output feedback stabilizing control with instantaneous quantization error for discrete-time systems over quantized fading channels

This paper deals with the problem of output feedback quadratic mean square stabilization for single-input-single-output discrete-time networked control systems subject to both quantization error and stochastic fading. A relative-formed logarithmic quantizer is adopted and the stochastic fading is characterized as a multiplicative random noise. Assuming that the instantaneous quantization error is accessible, an observer-based output feedback controller is derived by solving two algebraic Riccati equations, together with an inequality involving Mahler measure of the plant. It is shown that stabilizability through a quantized fading actuating channel by output feedback is closely related to both Mahler measure of the plant and the uncertainties generated by the communication channel.