Networked output feedback stabilization with logarithmic quantization errors and multiplicative random noises

This paper deals with the output feedback quadratic mean square (QMS) stabilization problem for single-input-single-output discrete-time networked control systems. It assumes that the feedback controller interacts with the plant through a communication channel subject to both logarithmic quantization errors and multiplicative random noises. With the knowledge of the quantizer output signal, an observer-based output feedback controller is derived in terms of two algebraic Riccati equations, together with an inequality condition involving Mahler measure of the plant. It reveals that the set of systems that can be stabilized over a quantized fading channel is fundamentally limited by the uncertainties generated by the channel. A numerical example is included to illustrate the present results.