On the stability of a reduced-order filter based on dominant singular value decomposition of the system dynamics

被引：3

作者：

Hoang, H. S. ^{[1
]}

Baraille, R. ^{[1
]}

Talagrand, O. ^{[2
]}

机构：

[1] SHOM LEGOS, F-31041 Toulouse, France

[2] LMD ENS, F-75231 Paris 05, France

来源：

AUTOMATICA | 2009年 / 45卷 / 10期

关键词：

Singular value decomposition; Unstable dynamics; Mean square stability; Observability; Detectability; MODEL-REDUCTION; DATA ASSIMILATION; ADAPTIVE FILTER;

D O I：

10.1016/j.automatica.2009.06.032

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The stability of a reduced-order filter (ROF), the gain of which is constructed on the basis of a subspace of dominant singular vectors of the system dynamics, is examined. A definition of s-detectability is introduced. It is found that the observability of all unstable and neutral singular vectors (s-detectability) is a sufficient condition for the existence of a stable filter. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：2400 / 2405

页数：6

共 14 条

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