Synthesis of Robust Controllers Under Perturbations of Mixed Type

从1985年开始， 非保守的方法已经被开发出来， 控制系统的鲁棒稳定性分析 参数变化 然而，没有合成 所有可用的程序。 另一方面，在一项研究中， H_∞控制理论已经有了很好的综合 procedure. 然而，这一理论是高度保守的 当应用于参数稳定性问题时。 在 该建议旨在制定综合 含参数控制问题的程序 不确定性 一个有希望的开端是由最近 结果（由PI获得）证明极值 出现稳定裕度（包括H ∞裕度） 在某些流形导出Kharitonov的 定理 这种联系表明，H-无穷大（和其他 经典的合成方法）可能是明智的 定制以提供非保守合成程序 参数变化问题。 这将形成 我们研究的主要领域。 预计该 该研究项目的结果对 控制系统的分析和设计 许多应用程序。

Since about 1985, extremely efficient and nonconservative methods have been developed for the analysis of robust stability of control systems subject to parameter variations. However, there are no synthesis procedures available at all. On the other hand, H-infinity control theory has a well-developed synthesis procedure. This theory, however, is highly conservative when applied to the parametric stability problem. In this proposal it is intended to develop synthesis procedures for control problems containing parameter uncertainty. A promising opening is given by recent results (obtained by the PI's) proving that the extremal stability margins (including H-infinity margins) occur on certain manifolds derived from Kharitonov's theorem. This link suggests that H-infinity (and other classical synthesis methods) might be intelligently tailored to give nonconservative synthesis procedures for parameter variation problems. This will form the main area of our research. It is expected that the results of this research project to have an impact on the analysis and design of control systems arising in many applications.