US-France Cooperative Research (INRIA): Simulation and Control of Constrained Mechanical Systems

美法合作研究（INRIA）：约束机械系统的仿真与控制

• 批准号: 9220802
• 负责人: Stephen Campbell
• 金额: $ 1.83万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-08-01 至 1998-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9220802&HistoricalAwards=false
• 关键词: US; France; Cooperative; Research; INRIA

9220802 Campbell This three-year award supports U.S.-France cooperative research between Stephen L. Campbell of North Carolina State University and Francois Deleecque of INRIA (French National Institute for Research in Computer Science and Applied Mathematics), Rocquencourt, France. Ramine Nikoukhah, Jean Pierre Quadrat, also from INRIA Rocquencourt, will participate in the project. The objective of their research is to develop optimal control algorithms for constrained mechanical systems, numerical methods and solutions for differential equations, and a computer environment employing symbolic, graphic and numerical software. Differential-algebraic equations (DAEs), which the investigators will utilize in their research, are found to be extremely useful for expressing and modeling optimal control of mechnical systems. DAEs have advantages over ordinary differential equations in that one can easily vary design parameters in an implicit model, a particular system structure can be better exploited, and less mathematical expertise is required on the part of the designer. The proposed research in numerical solution of DAEs is important for work in singular systems, which appear, for example, in circuits and power systems. Research results may include new and more efficient algorithms and design procedures that are applicable to a wide variety of engineering systems. The project takes advantage of the complementary background of the U.S. and French investigators in many different areas, including control and mechanics, numerical solutions of DAES, and computer software. ***

9220802 Campbell 这个为期三年的奖项支持北卡罗来纳州立大学的 Stephen L. Campbell 和法国罗康古 INRIA（法国国家计算机科学和应用数学研究所）的 Francois Deleecque 之间的美法合作研究。 Ramine Nikoukhah 和同样来自 INRIA Rocquencourt 的 Jean Pierre Quadrat 将参与该项目。 他们的研究目标是开发约束机械系统的最优控制算法、微分方程的数值方法和解决方案，以及采用符号、图形和数值软件的计算机环境。 研究人员在研究中使用的微分代数方程（DAE）被发现对于表达和建模机械系统的最优控制非常有用。 DAE 优于常微分方程的优点在于，人们可以轻松地改变隐式模型中的设计参数，可以更好地利用特定的系统结构，并且设计人员需要的数学专业知识较少。 所提出的 DAE 数值求解研究对于奇异系统中的工作非常重要，例如，奇异系统出现在电路和电力系统中。 研究结果可能包括适用于各种工程系统的新的、更有效的算法和设计程序。 该项目利用了美国和法国研究人员在许多不同领域的互补背景，包括控制和力学、DAES 数值解和计算机软件。 ***