1999
DOI: 10.1615/jautomatinfscien.v31.i7-9.60
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Robust Algorithms of Ellipsoidal State Estimation for Multidimensional Non-stationary Continuous Dynamic Systems

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“…In particular, the load on a node of a Grid system can be described by the model of a linear control object with unknown perturbations, and uncertainties can be represented using the set-theoretic approach [3][4][5]. To represent boundary values of unknowns, the estimation is based on fuzzy ellipsoidal sets [6].…”
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confidence: 99%
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“…In particular, the load on a node of a Grid system can be described by the model of a linear control object with unknown perturbations, and uncertainties can be represented using the set-theoretic approach [3][4][5]. To represent boundary values of unknowns, the estimation is based on fuzzy ellipsoidal sets [6].…”
mentioning
confidence: 99%
“…Since the Grid system is characterized by the parameter vector according to (5) and (6), to describe its operation, it is expedient to use a more adequate model of the control object in a vector state space with unknown perturbations, which remains in the class of linear models. To estimate the state of a such model under nonstatistical uncertainty, it is expedient to use the set-theoretic approach [5] such as ellipsoidal estimation [3,4]. In the absence of reliable a priori information on the values being estimated, it is proposed to construct fuzzy set estimates of unknown vectors [12].…”
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confidence: 99%