On the numerical optimization design of continuous-time quantizer: A matrix uncertainty approah

For the networked control systems, the quantized control problem is one of the challenging problems since the continuous-valued signals are compressed and quantized to the discrete-valued signals via the communication channel and such the quantization often degrades the control performance. In terms of the broadbandization and the robustness of the networked control systems, this paper considers the continuous-time quantized control. In the quantized control, it is important to design a quantizer that minimizes the output difference between before and after the quantizer implementation. This paper describes a numerical optimization method of a continuous-time quantizer considering the switching speed. Using a matrix uncertainty approach of sampled-data control, we clarify that both of the temporal and spatial resolution constraints can be considered in analysis and synthesis, simultaneously.