Journal
AUTOMATICA
Volume 49, Issue 1, Pages 293-296Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2012.09.003
Keywords
Delayed measurements; Fault detection; Indefinite quadratic form; Krein space; Time-varying systems
Funding
- German Research Foundation (DFG) [DI773/13]
- National Natural Science Foundation of China [61104125, 61134009, 61273156]
- Fundamental Research Funds for the Central Universities
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In this paper, the finite-horizon H-infinity fault estimation problem is addressed for a class of linear discrete time-varying systems with both instantaneous and delayed measurements. By using the reorganized innovation approach, the considered measurements are reorganized into a tractable form, based on which we introduce an associated stochastic system in a Krein space. Then, by applying the innovation analysis and projection theory in the Krein space, a necessary and sufficient condition for the existence of the finite-horizon H-infinity fault estimator is obtained. Subsequently, a fault estimator is designed to achieve the specified H-infinity performance criterion in terms of the solution to a set of Riccati difference equations. Finally, a simulation example is employed to show the effectiveness of the proposed fault estimation approach. (C) 2012 Elsevier Ltd. All rights reserved.
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