Journal
INTERNATIONAL JOURNAL OF CONTROL
Volume 84, Issue 1, Pages 197-215Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2010.545079
Keywords
fault detection; linear time invariant systems; additive uncertainties; multiplicative uncertainties; generalised KYP lemma; linear matrix inequalities
Categories
Funding
- State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University [RCS2010ZT003]
- SenterNovem
- Dutch Ministry of Economics Affairs [EOSLT02013]
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This article addresses the fault detection observer design issue for linear time invariant (LTI) systems with additive or multiplicative uncertainties, which are also subject to unknown disturbances. The observer design is investigated under the H-infinity/H_ index framework using the generalised KYP lemma in the finite-frequency domain. Sufficient conditions for the existence of such a fault detection observer are given in terms of linear matrix inequalities (LMIs). The threshold design issue is discussed and a method for estimating the worst undetectable fault size is proposed. The effectiveness of the proposed algorithms is illustrated by numerical simulation examples.
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