Abstract: In order to improve the modeling accuracy and control performance of switching power converters, a state-switching discrete time model (SSDM) is proposed. The model considers the state of each switching period instead of the average state of the converter. Therefore, its accuracy is higher than that of the traditional state average model at high frequency. Based on the full differential equation of the switching duration, the inductor current and the output voltage in a cycle are accurately calculated, and the SSDM is derived. In addition, the limiting voltage response (LVR) control strategy is deduced by SSDM. The LVR control strategy calculates the appropriate duty cycle by voltage prediction to adjust the output voltage to the reference value in the minimum switching period. With this strategy, the converter not only achieves very fast load/line transient response and reference tracking speed, but also exhibits high stability under deviated inductance. Finally, the accuracy of the proposed strategy and the stability of the system are verified by frequency response analysis and experiments. The experimental results show that the transient response time of the output voltage under the LVR control strategy is more than 70% shorter than that under the traditional control strategy under different working conditions. When the inductance value deviates by 23%, the output voltage remains stable under the LVR control strategy.