An LMI approach to H - index and mixed H - / H ∞ fault detection observer design

Using the newly developed worst-case fault sensitivity measure, the H - index, and the well-known worst-case robustness measure, the H ∞ norm, this paper addresses the problem of H - index fault detection observer design and multiobjective H - / H ∞ fault detection observer design problems. Necessar...

Full description

Saved in:
Bibliographic Details
Published in:Automatica (Oxford) 2007-09, Vol.43 (9), p.1656-1665
Main Authors: Wang, Jian Liang, Yang, Guang-Hong, Liu, Jian
Format: Article
Language:English
Subjects:
[formula omitted] index
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
Fault detection
Minimum sensitivity
Minimum singular value
Modelling and identification
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Using the newly developed worst-case fault sensitivity measure, the H - index, and the well-known worst-case robustness measure, the H ∞ norm, this paper addresses the problem of H - index fault detection observer design and multiobjective H - / H ∞ fault detection observer design problems. Necessary and sufficient conditions for the existence of such a fault detection observer are given in terms of matrix inequalities. Both infinite frequency range case [ 0 , ∞ ) and finite frequency range case [ 0 , ω ¯ ) are considered. Iterative linear matrix inequality (ILMI) algorithms are given to obtain the solutions. The effectiveness of the proposed approaches is shown by numerical examples.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2007.02.019