Quantized output feedback stabilization over SNR channel

This paper considers the problem of output feedback stabilization for single-input-single-output (SISO) discrete-time systems over a communication channel, where logarithmic quantization error and white noise are included. The log-arithmic quantizer is characterized by a received signal-to-error ratio (R-SER) model and the white noise is modelled by additive white Gaussian noise (AWGN) channel where a signal-to-noise ratio (SNR) constraint is imposed. An observer-based controller is aimed to stabilize the system in the presence of quantized error and to satisfy some pre-specified power constraint, simultaneously. A solvability condition is derived by solving some algebraic Riccati equations (AREs) and an inequality involving the Mahler measure of the plant.