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This paper investigates the detection filter design problem for the detection and isolation of faults in linear parameter varying (LPV) systems by means of dynamic inversion where the system matrix depends affinely from the parameters. A method for the construction of the inverse, relying on the concept of parameter varying invariant subspaces and related concepts of classical geometrical system theory...
A unified approach to the problem of fault diagnosis is considered for the cases of continuous-time and discrete-time nonlinear and linear system models as well as for discrete-event model. The feature of this approach is that it allows obtaining the unique on the algorithmic level solution of the problem for all above types of the models. Conventional differential geometric and pair algebra of partitions...
The paper presents the fault isolation method for linear systems taking into account the residual dynamics. The method is based on the analysis of the sequence of observed symptoms assuming the residual models. Additionally, the method of designing the secondary residuals that allows to achieve particular symptom sequence for particular fault is proposed. Described methods are illustrated with a simple...
The characterization of frequency response functions for convergent systems is considered in this paper. Besides a couple of approaches available in the literature, this paper is focused on the frequency response function proposed recently for a class of non-linear systems which are called convergent. Using some properties of convergent systems a characterization of a frequency response function based...
In this work the application of a full-order observer to a binary distillation column, using a strategy to simplify the nonlinear model is presented. Mainly for process system, it is feasible to use differential-algebraic equations for describing the dynamical behavior of the plant. A mathematical model is an extension of the traditional chemical and physical laws (such as the laws of conservation...
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