Technical communique: Norm invariant discretization for sampled-data fault detection

Authors:
Iman Izadi;Tongwen Chen;Qing Zhao
Affiliations:
Department of Electrical & Computer Engineering, University of Alberta, Edmonton, Alta., Canada, T6G 2V4;Department of Electrical & Computer Engineering, University of Alberta, Edmonton, Alta., Canada, T6G 2V4;Department of Electrical & Computer Engineering, University of Alberta, Edmonton, Alta., Canada, T6G 2V4
Venue:
Automatica (Journal of IFAC)
Year:
2005

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Abstract

In this paper, the problem of fault detection in sampled-data systems is studied. It is shown that norms of a sampled system are equal to the corresponding norms of a certain discrete time system. Based on this discretization, the sampled-data fault detection problem can be converted to an equivalent discrete-time problem. A framework that unifies the H"2 and H"~ optimal residual generators in sampled-data systems is then proposed.