中文摘要：

利用υ步离散法，得到变换器输入控制变量与状态变量之间的直接映射关系，基于混杂系统理论分析系统的动态方程，建立其分段仿射模型。在此模型的基础上，结合非线性预测控制算法，通过模型预测系统的输出，利用反馈校正误差，给出二次型性能指标的优化计算方法，并由此设计预测控制器。最后，以Buck功率变换器为研究对象，通过与峰值电流控制算法的仿真结果进行比较，验证模型的正确性以及控制器设计的有效性。

英文摘要：

In this paper, the method of the v steps discretization is introduced firstly, which presents the mapping relationship between the input variable and the state variable of the converter. Then the dynamic equations are analyzed based on the hybrid system theory, which evolved into the PWA （piecewise-affine） model. Combined with the nonlinear predictive control method, the output of the system is predicted by the PWA model, and the feedback signal is used to correct the uncertainty. By solving the linear optimal quadratic performance, the predict controller is designed. At last, the simulation result of the Buck converter is presented, compared with peak current model control algorithm, the validity of the model and the effectiveness of the proposed controller are verified.