Coarseness in Quantization for Stabilization of Linear Systems over Networks

We present an overview on the quantized control approach that was initiated by Elia and Mitter in the context of networked control. In particular, two recent extensions are presented where uncertainties in the channel and the plant are taken into consideration. The general problem setting is that the amount of communication is measured by a notion of coarseness in quantization, and we would like to find the coarsest quantizer for achieving stabilization. Numerical examples are provided to illustrate the differences among the quantized control schemes.