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

Authors:
Jian Liang Wang;Guang-Hong Yang;Jian Liu
Affiliations:
School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore;College of Information Science and Engineering, Northeastern University, Shenyang, China and Key Laboratory of Integrated Automation of Process Industry (Northeastern Univ.), Ministry of Education ...;Honeywell International, Olathe, Kansas, USA
Venue:
Automatica (Journal of IFAC)
Year:
2007

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Abstract

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 with overbar) 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.