基于反步法的垂直梯度凝固晶体生长过程控制
Control of the Vertical Gradient Freeze crystal growth process via backstepping
AI总结：
针对垂直梯度凝固晶体生长中的两相Stefan问题，提出基于反步法的状态反馈跟踪控制设计，并给出反步变换核数值逼近的新方法，解决晶体与熔体时变范围带来的控制问题。
摘要：
本文提出一种基于反步法的状态反馈设计，用于垂直梯度凝固晶体生长过程中遇到的两相Stefan问题的跟踪控制。两相Stefan问题由两个耦合的自由边界问题组成，由于生长过程中晶体和熔体的时变范围，它是许多晶体生长过程的重要部分。此外，本文还提出了一种反步变换核数值逼近的不同方法。
英文摘要：
This contribution presents a backstepping-based state feedback design for the tracking control of a two-phase Stefan problem which is encountered in the Vertical Gradient Freeze crystal growth process. A two-phase Stefan problem consists of two coupled free boundary problems and is a vital part of many crystal growth processes due to the time-varying extent of crystal and melt during growth. In addition, a different approach for the numerical approximation of the backstepping transformations kernel is presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
