Observability Measures for Nonlinear Systems
Observability Measures for Nonlinear Systems
复制标题
非线性系统的可观测性测量
DOI：
10.1109/cdc.2018.8619722
复制
发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Shen Zeng
中科院分区：
文献类型：
--
作者：
Shen Zeng
在本文中，在一个新的框架中重新审视和研究了非线性可观测性问题，该框架特别适合考虑相应状态估计问题的不同实际方面。在建立这个框架时，我们强调了一般可观测性问题的基本理论方面与类似于数值分析中遇到的更多定量考虑之间的联系。我们对可观测性问题的新颖分析的一个关键结果是引入了非线性系统的定量可观测性度量，作为线性系统可观测性格拉米安概念的推广。
In this paper, the nonlinear observability problem is revisited and studied in a novel framework that is particularly well-suited for the consideration of different practical aspects of the corresponding state estimation problem. In establishing this framework, we highlight connections between fundamental theoretical aspects of the general observability problem with more quantitative considerations similar to those encountered in numerical analysis. A key result of our novel analysis of the observability problem is the introduction of quantitative observability measures for nonlinear systems as a generalization of the notion of observability gramians for linear systems.