Abstract: Aiming at the problem between switching frequency and computational complexity,a new explicit Model Predictive Control (MPC) strategy was proposed using the boost circuit mathematical model.To transform the nonlinear problem of the boost circuit into a linear problem of a two-state space,the state average method was adopted,the change of the capacitor voltage was approximated by a broken line,and the average value of the voltage state in each cycle was used as a variable to construct Linear Variable Parameter model (LVP).Then,a new prediction model prediction observer was designed by using Taylor series,and the minimum evaluation function was constructed by using the deviation between the predicted output and the actual output in the system to realize the continuous tracking control of the controlled object.Finally,the improved interior point method was used for solution and stability analysis,and the numerical simulations were carried out for the rectangular and sinusoidal waveforms,which verified the effectiveness and superiority of the proposed method.

Key words: model predictive control, Boost converter, linear variable parameter model, interior point method

摘要： 针对开关频率与计算复杂度之间的问题,利用Boot电路数学模型,提出了一种新型显式模型预测控制策略。首先,为了把Boot电路中的非线性化问题转换成双状态空间的线性化问题,采取状态平均法,以折线近似其中电容电压的变化,并把每一个周期内的电压状态平均值作为变量,构造了线性变参数模型。然后,利用泰勒级数设计了一种新的预测模型预测观测器,并用系统中预测输出和实际输出的偏差,构造出最小评价函数,实现对被控对象的持续跟踪控制。最后,利用改进型内点法进行求解和稳定性分析,对阶跃、矩形和正弦的3种不同电压信号的追踪进行数值仿真,验证了所提方法的有效性和优越性。

关键词: 模型预测控制, Boost变换器, 线性变参数模型, 内点法