The Research of Coefficient Quantization Error in Digital Control System Based on Gray System Theory

This paper studies the quality of control system with coefficient quantization error by gray system theory. Our basic idea is to regard the coefficient of digital control system as gray number and analyze the given system by gray matrix and other gray methods. Through some representative examples, we could find the gray could give a more effective and precise description for quantization effect. It gives an easy method to analyze the stability and other quality of digital system with quantization effect.