系统鲁棒性的若干问题——背景、现状与挑战*

Some Problems of System Robustness Backgrounds, Status and Challenges

中文关键词  动态系统  不确定性  稳定性  鲁棒控制

英文关键词  dynamic systems  uncertainty  stability  robust control

中文摘要

      本文进行系统鲁棒性分析的综述，全文分四节。第一1节是引言，给出了问题的缘由、现代鲁棒分析的提法与一些基本概念。第2节介绍并评论了多项式代数方法的一些突破性进展，入Kharitonov定理、棱边定理与其他一些结果。在第3节中，对稳定矩阵的摄动界分析和基于状态空间描述与李亚普诺夫方法的鲁棒性的讨论做了介绍。最后在第4节中论述了基于输入输出描述的方法和H∞方法。

英文摘要

      In this paper, a brief survey and reviews of system robustness analysis are given. There are four parts. Sec. 1 is an introduction, where the motivations, statements of modern robust analysis and some basic concepts are given. In sec.2, some breakthrough advances of polynomial algebraic method are introduced and reviewed, such as kharitonov`s Theorem, Edge Theorem and some other results. The perturbation analysis of stable matrix and some robust discussions based on state space model and Lyapunov method are given in Sec.3. In final, the methods based on the input-output description and H∞ approach are discussed in Sec.4.