Zhong, Maiying; Zhou, Donghua; Ding, Steven X.:
On Designing H∞ Fault Detection Filter for Linear Discrete Time-Varying Systems
In: IEEE Transactions on Automatic Control (T-AC), Vol. 55 (2010), No. 7, pp. 1689 - 1695
2010article/chapter in journal
TechnologyFaculty of Engineering » Engineering and Information Technology » Automatic Control and Complex Systems
Related: 1 publication(s)
Title in English:
On Designing H∞ Fault Detection Filter for Linear Discrete Time-Varying Systems
Author:
Zhong, Maiying;Zhou, DonghuaUDE
LSF ID
1501
ORCID
0000-0003-0169-8490ORCID iD
Other
connected with university
;Ding, Steven X.UDE
GND
134302427
LSF ID
2347
ORCID
0000-0002-5149-5918ORCID iD
Other
connected with university
Year of publication:
2010
DOI
10.1109/TAC.2010.2046921
IEEE ID
5504549
Language of text:
English
Appears in
IEEE Transactions on Automatic Control (T-AC)
Title in English (abbreviated):
IEEE Trans. Autom. Control
Place of publication:
New York
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
in:
Vol. 55 (2010), No. 7, pp. 1689 - 1695
ISSN
1558-2523 Show availability online & print
ISSN
0018-9286 Show availability online & print
ISSN
2334-3303 Show availability online & print
ZDB ID
2033330-4
Library shelfmark:
79 Z 53
Type of resource:
Text

Abstract:

This technical note deals with the problem of finite horizon H∞ fault detection for linear discrete time-varying systems. Using an observer-based fault detection filter (FDF) with residual feedback as a residual generator, a new problem formulation of fault detection is first presented. Then the design of finite horizon H∞ -FDF is converted into a minimum problem of certain quadratic form. Through building a relationship with Krein space projection and applying innovation analysis, a sufficient and necessary condition for the minimum is derived and a solution to the H∞ -FDF is obtained by recursively computing Riccai recursions. Numerical examples are given to show the effectiveness of the proposed method.