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

9220802坎贝尔 这个为期三年的奖项支持美国-法国合作研究斯蒂芬L。坎贝尔的北卡罗来纳州州立大学和弗朗索瓦Deleecque的INRIA（法国国家研究所计算机科学和应用数学），罗克库尔，法国。 同样来自INRIA Rocquencourt的Ramine Nikoukhah、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。 微分代数方程（DAE），研究人员将利用他们的研究，被发现是非常有用的表达和建模的机械系统的最优控制。 DAE比常微分方程具有优势，因为可以很容易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，并且对设计者来说需要较少的数学专业知识。 拟开展的微分方程数值解的研究对于研究电路和电力系统中的奇异系统具有重要意义。 研究成果可能包括新的和更有效的算法和设计程序，适用于各种各样的工程系统。 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的数值解和计算机软件。 ***

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. ***