A Digital Optimal Control Method for DC-DC Converters Based on Simple Model

A novel optimal control strategy based on simple model is presented, which is easy to be realized adopting digital way for DC-DC converter. The discrete model of converter is founded based on state transfer matrix and power-exponent functions are linearized to obtain simple discrete model. The object function for optimization control is designed based on the simple model of converter and the optimal control is obtained. The control error of simple model is modified according to the output error of actual system and model for favorable adaptability. In this paper, the simple discrete model of Boost converter is founded and optimal control is obtained, digital PI is adopted to adjust control error. Simulation and experiment results validate that the output voltage of converter can be controlled accurately and quickly on various work conditions.