Synthesis of Robust Controllers Under Perturbations of MixedType

从1985年开始， 非保守的方法已经被开发出来 用于分析控制的鲁棒稳定性 系统受参数变化的影响。 然而，没有合成程序 可用的所有。 另一方面，H无穷大 控制理论有一个完善的综合 procedure. 然而，这一理论高度 当应用于参数时， 稳定性问题。 在这份提案中，我们打算 制定综合控制程序， 包含参数不确定性的问题 一 最近的结果显示， （PI获得）证明 极值稳定裕度（包括H ∞ 边缘）发生在某些流形上， Kharitonov定理 这个链接表明 H-infinity（和其他经典合成） 方法）可能会被智能地定制以提供 非保守合成方法 参数变化问题 这将形成 我们研究的主要领域。 我们预计 该研究项目的成果， 对控制分析和设计的影响 系统在许多应用中出现。

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 we intend 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. We expect the results of this research project to have an impact on the analysis and design of control systems arising in many applications.