Journal
AUTOMATICA
Volume 45, Issue 1, Pages 94-102Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2008.07.017
Keywords
Fault detection filter; Linear time-varying systems; Robustness; State estimation; Optimization
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This paper gives the optimal solutions to several robust fault detection problems such as H-/H-infinity, H-2/H-infinity and H-infinity/H-infinity and problems for linear time-varying systems in a time domain, which extends the previous results on linear time-invariant systems in a frequency domain. It is shown that all three problems have the same optimal detection filter and the filter is a simple observer obtained by solving a standard differential Riccati equation. Finally, an example is given to illustrate our results. (C) 2008 Elsevier Ltd. All rights reserved.
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