Analysis of the influence of the discrete period of the zero-order hold of the digital automatic control system on dynamic indicators of control quality

Abstract

The issue of increasing the accuracy of reproduction of the master signal in a digital system for automatic control of an electric drive in the presence of a zero-order extrapolator in the block diagram is considered. The formation of discreteness in a control system with a zero-order extrapolator is considered. The analysis of the influence of the extrapolator discreteness on the dynamic indicators of the system control quality is carried out. As indicators of the quality of control direct indicators: overshoot and time of the transition process. The necessary relationship between the zero-order extrapolator quantization frequency and the bandwidth frequency of the linear part of the system is shown, which ensures the approximation of the above indicators of the quality of control of a discrete system to those of an analog prototype. The bandwidth of the analog part of the system is determined from the logarithmic frequency response. The article provides a recommendation for choosing the quantization frequency of digital controllers with zero-order extrapolators for multi-loop control systems, for example, built on the principle of slave control systems.