Trade-off in Quantization Between Data-driven Design and Control Inputs

In this paper, we consider a remote control problem based on data-driven control with an emphasis on communication constraints. Specifically, we propose a direct data-driven stabilization method with quantization in input and state data for unknown discrete-time linear systems. Moreover, the controller is designed taking account of the effects of quantization in the feedback data. Logarithmic type quantization is employed, and we show the inherent trade-off in the quantization coarseness for data-driven design and feedback control. We illustrate the effectiveness of the method through numerical simulations.