Design of Experiments with Dynamic Responses

许多工程系统，如汽车和化学工业中的系统，都具有动态性能或系统输出。这类系统的整体性能不能通过单个数字来获取，而是由随时间变化的响应配置文件来表示。在这些系统上进行实验既昂贵又耗时；因此，通过实验来提高系统性能是困难的。该项目将通过具有动态输出的工程系统的新颖实验设计方法来克服这些挑战。该项目预计将影响广泛的工程应用。学术研究团队将与工业伙伴密切合作，确保其适用于实际生活环境。该项目的研究目标是改进具有动态响应的系统的实验设计方法。该项目将在(1)动态响应建模、(2)优化实验设计和(3)计算算法开发方面取得进展。一种新的分层混合效应建模方法将同时捕捉响应变量的动态行为和实验因素的影响。在实验设计阶段，将研究光谱变量和设计点在实验因子空间中的最优采样位置。最后，将开发利用B样条基函数的性质和设计矩阵中的模式的快速计算机算法。

Many engineered systems, such as those in the automotive and chemical industries, have dynamic performance or system outputs. The overall performance of such systems cannot be captured by a single number, but is instead represented by a response profile over time. Conducting experiments on these systems is costly and time-consuming; as a result, improving system performance through experimentation is difficult. This project will overcome these challenges through novel experimental design methodologies for engineered systems with dynamic outputs. The project is expected to impact a broad range of engineering applications. The academic research team will work closely with industrial partners to ensure applicability to real life settings.The research objective of this project is to improve experimental design methods for systems with dynamic response. The project will make advances in (1) dynamic response modeling, (2) optimal experimental designs, and (3) computational algorithm development. A novel hierarchical mix effect modeling approach will capture both the dynamic behavior of response variables and the effects of experimental factors. At the experimental design stage, the optimal sampling locations of the spectrum variables and design points in the experimental factor space will be investigated. Finally, fast computer algorithms that take advantage of the properties of B-spline basis function and the patterns in design matrices will be developed.