固液相变过程最优控制数学定解分析及其算法

THE MATHEMATIC ANALYSIS AND ALGORITHM OF THE OPTIMUM CONTROL IN THE LIQUID-SOLID PHASE CHANGE PROCESS

本文应用分布参数系统控制理论,采用变分法系统地分析,导出了二维固液相变传热过程最优控制问题的数学 定解条件,提出模型离散和数值求解方法,对共轭梯度最优控制算法进行适应性分析。

By the variational analysis and control theory of distributed parameter system, the solving conditions of the optimal control problem of two-dimensional heat transfer in the solid-liquid phase-change process are derived and the corresponding discrete and numerical methods are proposed in this paper. In addition, the adaptability of the conjugate gradient optimal control algorithm is analyzed.