Li, Wei; Ding, Steven X.; Zhu, Z.C.:
Optimal Hi=H∞ fault detection filter design: An iterative LMI approach
In: Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference : (15 - 18 December 2009) / Institute of Electrical and Electronics Engineers (Eds.). - CDC/CCC 2009 ; 15 - 18 Dec. 2009, Shanghai, China - Piscataway, NJ: IEEE, 2009, pp. 996 - 1001
2009book article/chapter in ProceedingsClosed access
TechnologyFaculty of Engineering » Engineering and Information Technology » Automatic Control and Complex Systems
Related: 1 publication(s)
Title:
Optimal Hi=H∞ fault detection filter design: An iterative LMI approach
Author:
Li, Wei;Ding, Steven X.UDE
GND
134302427
LSF ID
2347
ORCID
0000-0002-5149-5918ORCID iD
Other
connected with university
;Zhu, Z.C.
Open Access?:
Closed access
DOI
10.1109/CDC.2009.5399722
Appears in
Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference : (15 - 18 December 2009)
Conference
CDC/CCC 2009 ; 15 - 18 Dec. 2009, Shanghai, China
Editor:
Institute of Electrical and Electronics Engineers
Place of publication:
Piscataway, NJ
Publisher:
IEEE
Year of publication:
2009
Open Access?:
Closed access
in:
pp. 996 - 1001
DOI
10.1109/CDC/CCC14308.2009
ISBN
978-1-4244-3872-3
ISBN
978-1-4244-3871-6
Note:
Tagungsdaten auch angegeben als: December 16 - 18, 2009.
Language of text:
English

Abstract:

In this paper, a linear matrix inequality (LMI) based approach is proposed for the design of fault detection filter (FDF) which can achieve the best trade-off between robustness against unknown disturbances and sensitivity to system faults. We first analyze the the performance index Hi/H∞ measuring the trade-off in all directions of the residual space, and then propose a new design index computed with the maximum and minimum nonzero singular values of the transfer function from disturbances to residual. The necessary and sufficient condition for checking whether an FDF is optimal or not, is given in terms of matrix inequalities (MI). An iterative linear matrix inequality (ILMI) algorithm is finally developed to design the optimal FDF based on the proposed design index. With the obtained FDF, the H∞/H∞ and H_/H∞ indexes are optimized as two extreme cases. A numerical example is given to illustrate the effectiveness of the proposed approach.