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Fault detection in a mixed H2/H setting

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3 Author(s)
Khosrowjerdi, M.J. ; Dept. of Electr. Eng., Sahand Univ. of Technol., Tabriz, Iran ; Nikoukhah, R. ; Safari-Shad, N.

In this note, we study the problem of fault detection in linear time-invariant (LTI) systems which are simultaneously effected by two classes of unknown inputs: Noises having fixed spectral densities and unknown finite energy disturbances. This problem is formulated as a mixed H2/H filtering problem. Necessary and sufficient conditions for local optimality are presented. Moreover, it is shown that suboptimal solutions can be computed by solving a convex minimization problem with a set of linear matrix inequality (LMI) constrains. A numerical example is given to illustrate the advantage of the mixed H2/H approach as compared to existing techniques which are based on optimization of H2 and H criteria.

Published in:

Automatic Control, IEEE Transactions on  (Volume:50 ,  Issue: 7 )