Min-max IIR filter design for feedback quantizers

In networked control systems, transmitted data should be quantized into a relatively small number of bits if the rate of the communication channel is not sufficiently high. We propose a feedback quantizer for an implementable simple quantizer with high precision for networked control. The infinite impulse response (IIR) feedback filter is designed to mitigate the effect of the quantization error under a performance constraint of the feedback control system. Then, the minimum rate that achieves the constraint is numerically obtained. Simulations are provided to show the effectiveness of the proposed quantizer in a networked feedback control system.