Mathematical Sciences: Control System Governed by Partial Differential Equations with Applications to Large Flexible Structures

数学科学：偏微分方程控制系统及其在大型柔性结构中的应用

• 批准号: 8505547
• 负责人: Goong Chen
• 金额: $ 4万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1985
• 资助国家: 美国
• 起止时间: 1985-03-01 至 1985-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8505547&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Control; System; Governed

Support will be provided for a workshop devoted to control systems governed by partial differential equations and application of the theory to control and stabilization of large, flexible structures. There is currently great interest in control of large flexible structures because of the number of such structures requiring active control for acceptable performance. These include flexible arms of robots, large communication and intelligence satellites, orbiting platforms and power stations, and manned space stations. They are typically highly flexible, consisting of a large number of beam-like elements coupled together end-to-end in the form of a chain, with components mathematically modeled by large systems of ordinary and partial differential equations. The main purpose of the proposed workshop is to determine what the basic problems are in the control of flexible structures, what the current state of affairs in the application of pde techniques to these problems is, where this area of research is heading, and where should it be going.

将为专门讨论控制系统的讲习班提供支助 由偏微分方程和应用的 大型柔性结构的控制和稳定理论。 目前有很大的兴趣在控制大型灵活的 由于这种结构的数量需要积极的 控制可接受的性能。 其中包括灵活的武器， 机器人，大型通信和情报卫星，轨道 平台和发电站，以及载人空间站。 他们是 通常是高度灵活的，由大量的梁状 元件以链的形式端对端地联接在一起， 组件数学建模的大型系统的普通和 偏微分方程 建议的主要目的 研讨会是为了确定哪些基本问题是在控制 灵活的结构，目前的事态， PDE技术对这些问题的应用是， 研究的方向是什么，它应该去哪里。