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A Lifting Based Approach to Observer Based Fault Detection of Linear Periodic Systems

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3 Author(s)
Ping Zhang ; Autom. Technol., BASF SE, Ludwigshafen, Germany ; Ding, S.X. ; Ping Liu

In this note, an approach based on lifting is introduced for the observer based fault detection (FD) of linear discrete-time periodic systems. The main contribution of this note is to give an analytic expression to transform the linear time-invariant (LTI) observer based residual generator designed based on the lifted LTI reformulation of the periodic system into a periodic observer based residual generator to reduce detection delay. The result enables a systematic transfer of the existing observer based FD methods for discrete LTI systems to discrete-time periodic systems.

Published in:

Automatic Control, IEEE Transactions on  (Volume:57 ,  Issue: 2 )