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

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和法国国家计算机科学与应用数学研究所（INRIA）的Francois Deleecque在法国Rocquencourt进行的美法合作研究。Ramine Nikoukhah, Jean Pierre Quadrat，同样来自INRIA rocqucourt，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。研究人员将在他们的研究中使用微分代数方程（DAEs），这对于表达和建模机械系统的最优控制非常有用。与普通微分方程相比，DAEs的优势在于可以很容易地在隐式模型中改变设计参数，可以更好地利用特定的系统结构，并且对设计师的数学专业知识要求更少。本文提出的DAEs数值解的研究对于电路和电力系统等奇异系统的工作具有重要意义。研究结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的数值解决方案和计算机软件。* * *

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. ***