An Integrated Design Method of Dynamic Quantizers with Communication Rate Constraint

Abstract

This paper proposes a design method of the dynamic quantizer for the networked control systems. In the networked control systems, the data size of the signals is limited because of the transmission rate of the communication channel. It is well known that feedback type dynamic quantizers such as Delta/Sigma modulator are effective for quantization of data series. The dynamic quantizer includes a set of the dynamic filter and the static quantizer. Many methods have been proposed to design the dynamic filter. However, the static quantizer part has not been designed although the quantization level number of the static quantizer has an effect on the data size. The simultaneous design of dynamic filter and the quantization level will be important issue to satisfy the given communication rate. In this paper, the integrated design method of the filter and the static quantizer is proposed based on the communication rate constraints. The proposed method is derived based on the invariant set analysis with LMIs. The effectiveness is shown by numerical examples.