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Observer-Based Fast Rate Fault Detection for a Class of Multirate Sampled-Data Systems

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4 Author(s)
Maiying Zhong ; Dept. of Autom., Tsinghua Univ., Beijing ; Hao Ye ; Ding, S.X. ; Guizeng Wang

This note deals with the problem of observer-based fast rate fault detection for a class of multirate sampled-data (MSD) systems. Applying a lifting technique, a linear time-invariant (LTI) representation with slow sampling period is firstly obtained for the MSD systems and, based on this, an observer-based fault detection filter is considered as a residual generator. Then an optimization fault detection approach for LTI systems is modified to the residual generation for the MSD systems and, by solving a discrete-time Algebraic Riccati equation, a family of optimal solutions with causality constraint can be obtained. An inverse lifting operation on the generated residual implements its fast rate. The residual evaluation problem is also considered. A numerical example is finally given to illustrate the effectiveness of the proposed design techniques

Published in:

Automatic Control, IEEE Transactions on  (Volume:52 ,  Issue: 3 )