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

9409715铁子一个好的控制系统设计的两个最有用的特性是稳健性和性能。性能是指控制系统满足多个规格的能力，通常基于某些输入和输出。稳健性是系统即使在存在不确定性的情况下也能很好地运行的特性。本研究将发展一种将稳定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中的鲁棒性能问题。初步研究表明，这种技术通过解决更广泛的问题，应该比现有的分析和综合方法在鲁棒控制方面表现得更好。内点优化技术与新发展的线性矩阵不等式概念相结合，可能会导致计算量很小，特别适合于快速、交互的设计工具。***

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. ***