Continuation of Research on An Optimization-Based Methodology for Computer-Aided Design

这个项目是为了继续研究通用的、基于优化的计算机辅助设计方法，它将补充并最终取代许多目前使用的启发式技术，这些技术构成了工程设计周期的一部分。这种方法是可能的，因为(I)大量的工程设计问题可以转录成非常少量的标准、半无限优化问题的形式，(2)新的系统理论结果为优化在工程设计中的应用提供了便利。这项研究分为三个相互关联的部分。第一部分涉及工程设计和最优控制的优化算法：(I)最优离散化过程，(Ii)超线性收敛算法，(Iii)寻找满足要求的设计的全局技术，以及(Iv)分布参数系统的最优控制算法。第二部分涉及面向优化系统理论的主题：(I)非线性系统的滚动最优控制镇定，(Ii)柔性结构及其控制系统的集成设计。第三部分是交互式软件系统的开发，它为基于优化的计算机辅助设计提供了一个合适的环境。

This project is for continued research on a general purpose, optimization-based computer- aided-design methodology which will supplement and eventually displace many currently used heuristic techniques which form part of the engineering design cycle. Such a methodology is possible because (i) a large variety of engineering design problems can be transcribed into the form of a very small number of standard, semi-infinite optimization problems, and (ii) new system theoretic results facilitate the use of optimization in engineering design. The research is in three interrelated parts. The first part deals with topics in optimization algorithms for engineering design and optimal control: (i) optimal discretization procedures, (ii) superlinearly converging algorithms, (iii) global techniques for finding designs satisfying specifications, and (iv) optimal control algorithms for distributed parameter systems. The second part deals with topics in optimization- oriented system theory: (i) nonlinear system stabilization via moving horizon optimal control, and (ii) integrated design of flexible structures and their control systems. The third part deals with the development of an interactive software system which provides an appropriate environment for optimization- based computer-aided design.