Intelligent Simulation Methods for Dynamical Systems

动力系统的智能仿真方法

• 批准号: 9457802
• 负责人: Feng Zhao
• 金额: $ 31.25万
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-09-15 至 2000-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9457802&HistoricalAwards=false
• 关键词: Intelligent; Simulation; Methods; Dynamical; Systems

This project investigates new computational methods for prototyping physical systems with desired dynamical behaviors, with expected applications in design and control engineering. It develops a computational environment for visualizing and manipulating dynamics of physical systems through a combination of numerical and symbolic computations. More specifically, this project studies (1) automated characterization of dynamical systems through analytic and geometric analysis, and (2) techniques for interactive synthesis, optimization, and visualization of dynamics, for example, ``computational scissors'' that cut-and-paste vector fields and shape the desired dynamical properties (e.g. stability regions) for a complex system that is otherwise difficult to design.

该项目研究新的计算方法，用于对具有所需动态行为的物理系统进行原型设计，并在设计和控制工程中具有预期的应用。 它开发了一个计算环境，通过数值和符号计算的组合来可视化和操纵物理系统的动力学。 更具体地说，该项目研究（1）通过分析和几何分析对动力系统进行自动表征，以及（2）交互式合成、优化和动力学可视化技术，例如，剪切和剪切的“计算剪刀”粘贴矢量场并为难以设计的复杂系统塑造所需的动态特性（例如稳定区域）。