RIA: Robust Performance Analysis and Synthesis Control Systems Subject to Structured Uncertainties Using Multiplier Theory

RIA：使用乘数理论进行结构化不确定性的鲁棒性能分析和综合控制系统

• 批准号: 9409715
• 负责人: Eric Feron
• 金额: $ 8.9万
• 依托单位: Massachusetts Institute of Technology
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-09-15 至 1998-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9409715&HistoricalAwards=false
• 关键词: RIA; Robust; Performance; Analysis; Synthesis

9409715 Feron The two most useful properties of a good control system design are robustness and performance. Performance is the ability for a control system to satisfy a number of specifications, usually based on some inputs and outputs. Robustness is the property that a system perform well even in the presence of uncertainties. This research will develop a method that combines the theory of stability multipliers with numerical convex optimization to handle the problem of robust performance for control systems analysis and synthesis. Preliminary investigations suggest that this technique should perform considerably better than existing analysis and synthesis methods for robust control by solving a much wider class of problems. The use of interior-point optimization techniques combined with the newly developed concept of Linear Matrix Inequality may lead to small amounts of computations, especially suitable for fast, interactive design tools. ***

一个好的控制系统设计的两个最有用的特性是鲁棒性和性能。性能是控制系统满足一些规格的能力，通常基于一些输入和输出。鲁棒性是指系统即使在存在不确定性的情况下也能表现良好的特性。本研究将发展一种将稳定性乘子理论与数值凸优化相结合的方法来处理控制系统分析与综合的鲁棒性能问题。初步调查表明，通过解决更广泛的问题类别，该技术应该比现有的鲁棒控制分析和综合方法表现得更好。使用内点优化技术结合新发展的线性矩阵不等式的概念可能会导致少量的计算，特别适合于快速，交互式的设计工具。＊＊＊