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

该项目是为了继续研究一个 通用优化计算机 辅助设计方法， 并最终取代许多目前使用的 启发式技术，形成了一部分， 工程设计周期 这种方法 是可能的，因为（一）各种各样的 工程设计问题可以被转录 转化成一小部分 标准的半无限优化问题 新的系统理论结果 促进优化的使用 工程设计 本研究分为三个相互关联的部分。 第一部分涉及的主题， 工程设计优化算法 最优控制：（1）最优 离散化程序，（ii）超线性 收敛算法，（iii）全局技术 为了找到满足规格的设计， 和（iv）最优控制算法， 分布参数系统 第二 部分涉及优化的主题- 面向系统理论：（一）非线性系统 滚动优化镇定 控制，以及（ii）集成设计 柔性结构及其控制系统。 第三部分论述了 一种交互式软件系统， 一个合适的优化环境- 基于计算机辅助设计。

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.