A time domain approach to robust fault detection of linear time-varying systems

Authors:
Xiaobo Li;Kemin Zhou
Affiliations:
Department of Electrical and Computer Engineering, Louisiana State University, Baton Rouge, LA 70803, United States;Department of Electrical and Computer Engineering, Louisiana State University, Baton Rouge, LA 70803, United States
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

This paper gives the optimal solutions to several robust fault detection problems such as @?"-/@?"~, @?"2/@?"~ 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.