Dynamic Quantizer with Explicit Degree of Freedom for Design

This paper is concerned with dynamic quantizer for controlling plants with discrete-valued input. l∞ norm of error between outputs with continuous-input and with quantized-input was guaranteed by the quantizer proposed by Azuma et al. In this paper, the degree of freedom of quantizer, which also guarantees the l∞ norm, is considered for treating the other objectives such as robustness, reduced-order controller etc. Then a design method of reduced-order quantizer is proposed by using the design parameter. The effectiveness of reduced-order quantizer is shown by numerical examples.