固体边界输出反控制的斯蒂芬问题:度方法方法
Bryan Petrus1, Zhelin Chen2, Hamza El-Kebir2
1University of Illinois Urbana-Champaign, Champaign, IL 61801 USA. He is now with Nucor Steel Decatur, Decatur, AL 35673 USA.
IEEE transactions on automatic control
|August 7, 2024
概括
这项研究为斯蒂芬问题开发了输出反边界控制定律,使得使用基于度的系统状态能够精确跟踪温度和相变界面. 这些方法可确保稳定的控制和精确的轨迹跟踪扩散系统.
科学领域:
- 热力学和热转移热力学
- 控制系统工程 控制系统工程
- 数学建模的数学建模
背景情况:
- 斯蒂芬问题,一个移动边界的相变问题,由于其非线性动态,在控制方面提出了重大挑战.
- 准确控制温度配置和接口位置对于许多涉及相位转换的工业过程至关重要.
研究的目的:
- 为一个非线性,一维的部分微分方程 (PDE) 过程模型开发输出反边界控制规律,代表斯蒂芬问题.
- 为了实现空间时间温度和时间接口位置的轨迹跟踪.
主要方法:
- 度被用作系统状态,通过温度配置和接口位置来表达.
- 一个全状态反控制器是为单面边界控制而设计的.
- 一个稳定的观察者是为完全状态的重建而开发的.
- 输出反控制规律是通过将控制器和观察器结合起来来得出的.
主要成果:
- 开发的控制规律确保温度和接口错误在单面和双面的Stefan问题上实现闭环趋同.
- 模拟显示了指数式轨迹的趋同.
- 实现了可实现的光滑边界控制信号.
结论:
- 拟议的输出反边界控制策略有效地解决了斯蒂芬问题的复杂性.
- 可以实现温度和相变接口的稳定和准确的轨迹跟踪.
- 该方法为控制具有移动边界的扩散型系统提供了强大的框架.
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