Control of Nonlinear Distributed Systems with Free Bounaries

具有自由边界的非线性分布式系统的控制

• 批准号: 9213301
• 负责人: Paul Wang
• 金额: $ 10万
• 依托单位: University of California-Los Angeles
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-09-15 至 1995-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9213301&HistoricalAwards=false
• 关键词: Control; Nonlinear; Distributed; Systems; Free

The objective of this proposed study is to develop applicable mathematical theories for the feedback control of nonlinear distributed systems with free-boundaries. The main effort is focused on systems describable by coupled Navier-Stokes and heat equations. This problem is motivated from the development of precision feedback controls for the crystal growth process to achieve high quality crystals and high productivity. This problem is of basic importance in the manufacturing of microelectronic and optoelectronic devices. Computer simulation studies will be made for determining effectiveness and feasibility of the proposed feedback controls. The use of neural networks for modelling and real-time control of the crystal growth process will also be explored by means of computer simulation using both computer generated and real experimental data.

这项拟议研究的目的是 发展适用的数学理论 非线性分布系统的反馈控制 自由边界。 主要的努力是 专注于可由耦合 纳维-斯托克斯方程和热方程。 这个问题 是由精确度的发展所驱动的 晶体生长过程的反馈控制 以获得高质量的晶体和高 生产力 这个问题是基本的 在制造中的重要性 微电子和光电器件。 将进行计算机模拟研究， 确定的有效性和可行性， 建议反馈控制。 使用神经 网络建模和实时控制 还将探讨晶体生长过程 通过计算机模拟， 计算机生成的和真实的实验数据。