Set-membership parity space approach for fault detection in linear uncertain dynamic systems
Journal Article (2016)
International Journal of Adaptive Control and Signal Processing
In this paper, a set-membership parity space approach for linear uncertain dynamic systems is proposed. First, a set of parity relations derived from the parity space approach is obtained by means of a transformation derived from the system characteristic polynomial. As a result of this transformation, parity relations can be expressed in regressor form. On the one hand, this facilitates the parameter estimation of those relations using a zonotopic set-membership algorithm. On the other hand, fault detection is then based on checking, at every sample time, the non existence of a parameter value in the parameter uncertainty set such that the model is consistent with all the system measurements. The proposed approach is applied to two examples: a first illustrative case study based on a two-tank system and a more realistic case study based on the wind turbine FDI benchmark in order to evaluate its effectiveness
fault detection, set-membership, parity space, parity equations, zonotopes
J. Blesa, V. Puig, J. Saludes and R.M. Fernandez-Cantí. Set-membership parity space approach for fault detection in linear uncertain dynamic systems. International Journal of Adaptive Control and Signal Processing, 30(2): 186-205, 2016.