通信容量制約に基づく動的量子化器の量子化幅設計と性能解析

抄録

This paper proposes the design method of the dynamic quantizer for the networked control systems. It is well known that feedback type dynamic quantizer such as Delta/Sigma modulator is effective for quantization of data series and many methods for designing the dynamics have been proposed. When it is required to control with network communication, the data size of signal should be minimized appropriately by quantizers. Since the quantizing width of the quantizer concern with the data size, determination of quantizing width is important problem in networked control systems. However, the quantizing width has not been designed analytically in the past researches. In this paper, we propose the design method of the quantizing width based on the LMIs. The quantizing width would be determined explicitly with the communication rate constraints. By the proposed method, the quantizing width guarantee that the signals are quantized appropriately within the given data size. The effectiveness is illustrated by numerical examples.