2000
DOI: 10.1615/jautomatinfscien.v32.i3.50
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Development and Analysis of Robust Algorithms for Guaranteed Ellipsoidal Estimation of the State of Multidimensional Linear Discrete Dynamic Systems. Part 1

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Cited by 4 publications
(6 citation statements)
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“…In this case, the estimation procedure is reduced to performing operations on sets in order to construct so-called information sets that are guar-anteed to contain the estimated values. In this work, the modification [44,45] of ellipsoidal estimation algorithms [9,12,14,29,42,48,55,56] was used. The main advantages of the modification are the minimum of a priori information about uncertain quantities, the high convergence rate, its applicability to nonlinear systems, and resistance to possible violations of a priori hypotheses about the values of uncertain quantities.…”
Section: Methods Of Estimating the Nsc Relative Pose Parametersmentioning
confidence: 99%
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“…In this case, the estimation procedure is reduced to performing operations on sets in order to construct so-called information sets that are guar-anteed to contain the estimated values. In this work, the modification [44,45] of ellipsoidal estimation algorithms [9,12,14,29,42,48,55,56] was used. The main advantages of the modification are the minimum of a priori information about uncertain quantities, the high convergence rate, its applicability to nonlinear systems, and resistance to possible violations of a priori hypotheses about the values of uncertain quantities.…”
Section: Methods Of Estimating the Nsc Relative Pose Parametersmentioning
confidence: 99%
“…One of the approaches aimed at reducing the computational complexity of solving estimation problems is to use the ellipsoid method [9,12,14,29,42,48,55,56]. In accordance with this method, the set k X is considered to be an ellipsoid…”
Section: Methods Of Estimating the Nsc Relative Pose Parametersmentioning
confidence: 99%
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“…It is called a guaranteed or minimax approach to control under uncertainty. Control algorithms created on its basis require less a priori information on the properties of uncertainties and are less critical to their difference from actual properties [19][20][21]. They can remain serviceable in situations where the above-mentioned algorithms fail (diverge).…”
Section: Aruv Navigation and Control Systemsmentioning
confidence: 99%