Analyzing Quantization Effect of Digital Control System by Cell Mapping Method

The research of quantization effect in digital control system attracts much attention in these years. Normally, the statistical and optimization methods are applied to study this effect. These methods all belong to the indirect method. In this paper, we use the cell mapping method, a novel theory in dynamical system area, to study this effect. Through some classical examples, we could find this method is more precise and effective in describing the quantization effect. Apply cell mapping, we also find a new realization method for digital system. This research may open a new avenue for the research of quantization effect.