LMI approaches to input and output quantized feedback stabilization of linear systems

This paper investigates the problem of quantized feedback stabilization for linear systems. In the controlled systems, the measurement output and control input signals are transmitted via the digital communication link, and the quantization errors are treated as sector bound uncertainties. Two different approaches to designing output feedback are developed and the corresponding design conditions in terms of solutions to linear matrix inequalities (LMIs) are presented. The resulting design is such that the homologous closed-loop system is asymptotically stable with respect to the quantization effects. Finally, we illustrate the efficiency of our main results by a numerical example.