In this paper, a fault detection method is developed for switching dynamic systems. These systems are represented by several linear models, each of them being associated to a particular operating mode. To finding the system operating mode the proposed method is based on mode probabilities and on a new structure of discrete-time observer with a sliding window measurements. This observer results from a combination of a Finite Memory Observer (FMO) and a Luenberger Observer. The stability condition of the observer is formulated in terms of linear matrix inequalities (LMI) using a quadratic Lyapunov function. The method also uses a priori knowledge information about the mode transition probabilities represented by a Markov chain. The proposed algorithm is of supervised nature where the faults to be detected are a priori indexed and modelled. In this work, the method is applied for the fault detection of a linear system characterized by a model of normal operating mode and several fault models. A comparison with the Generalized PseudoBayesian method shows the validity and some advantages of the suggested method.
In this paper, a comparison is made between three superconducting motors. The first one is based on the magnetic flux concentration principle. The second and the third motors have a conventional topology and contain a NbTi wire in the place of copper in the inductor. For the three motors we consider the same active length, the same armature and the same NbTi wire length. The comparison between the three motors is based on the created magnetic flux density in the air-gap. Calculations are carried out using the Monte Carlo Method for the first motor and FEM for the second and the third one.
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