Optimal Model-Following Design of Input-output Quantization Control Systems

For digital control systems which are implemented using digital devices, control performance can be affected by the quantization of input and output signals. Therefore, such control systems must be designed to encompass signal quantization to prevent the performance degradation associated with quantization. One design guideline for this is to make the response of a quantized system and an ideal system without quantization as close as possible. In a conventional study of design based on minimizing an upper bound of the error, design conditions expressed by matrix inequalities must be solved numerically. In contrast to the conventional method, this study proposes an analytical design method, and as a result, optimal controllers are designed with a small computational load. Finally, the effectiveness of the proposed method is demonstrated by numerical examples to illustrate the significance of this study.