Abstract
In this paper, the robust fault detection problem for non-linear systems considering both bounded parametric modelling errors and noises is addressed. Fault detection is formulated as a set-membership estimation problem being this one the contributions of the paper. A state estimator that describes the set of all the states consistent with modelling uncertainty, measured data and noise bounds is presented. Two possible implementations of such state estimation, based on constraint satisfaction and set computation techniques, of the state estimator are proposed and compared, being this a second contribution. Finally, the proposed approaches are applied to detect faults in limnimeters of a piece of Barcelona sewer network.
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