Guaranteed estimation of nonstationary parameters of difference equations under uncertainty

被引:0
作者
Nakonechnyi A. [1 ]
Zinko P.N. [1 ]
Shevchuk Y.M. [1 ]
机构
[1] Kiev National Taras Shevchenko University, Kiev
关键词
Additive noise; Bellman functions and Kalman-Bussi filter; Building optimal and guaranteed estimations; Difference nonlinear equations; Nonstationary parameters; Numerical experiments;
D O I
10.1615/JAutomatInfScien.v50.i11.10
中图分类号
学科分类号
摘要
The algorithms of building optimal and guaranteed estimations of nonstationary parameters of difference nonlinear equations with additive noise are given. The approaches to construct optimal estimations based on Bellman functions and Kalman-Bussi filter are presented. The results of numerical experiments for the problem of building guaranteed and optimal estimates for mathematical model of spreading one type of information are considered. The offered approach except theoretical interest has an important practical meaning. © 2018 by Begell House Inc.
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页码:1 / 18
页数:17
相关论文
共 14 条
[1]  
Gubarev V.F., Darin A.N., Lysyuchenko I.A., Nonlinear state estimator by the data on a sliding interval and the possibility of its application in the problem of orientation of a spacecraft, Mezhdunarodnyi Nauchno-tekhnicheskiy Zhurnai "Problemy Upravleniya i Informatiki", 1, pp. 118-132, (2011)
[2]  
Gubarev V.F., Shevchenko V.N., Gummel A.V., State estimation for systems subjected to bounded uncertainty using moving horizon approach, Prep. Of the 15-lh IFAC Symposium on System Identification, pp. 910-915, (2009)
[3]  
Bakan G.M., Ellipsoidal algorithms of guaranteed estimation and the recurrent least squares method in problems for filtering states of dynamical systems, Problemy Upravleniya i Informatiki, 3, pp. 34-48, (2000)
[4]  
Kuntsevich V.M., Control under the Conditions of Uncertainty: Guaranteed Results in Control and Identification Problems, (2006)
[5]  
Nakonechny A.G., Parameter estimation under conditions of uncertainty, Nauchnyye Zapiski Kiyevskogo Natsionalnogo Universiteta Im. Tarasa Shevchenko, 7, pp. 102-111, (2004)
[6]  
Nakonechny A.G., Tasks of guaranteed estimation of parameters in dynamics, Tezisy XVII Mezhdunarodnoy Konferentsii "Problems of Decision Making under Uncertainties", (2011)
[7]  
Nakonechny A.G., Zinko P.M., Shevchuk Y.M., Forecast estimates in mathematical models of dissemination of information under uncertainty, Sistemnyye Issledovaniya i Informatsionnyye Tekhnologii, 4, pp. 54-65, (2017)
[8]  
Nakonechny A.G., Zinko P.M., Shevchuk Y.M., Analysis of nonstationary mathematical models of information dissemination under uncertainty, Tezisy Mezhdunarodnoy Konferentsii "Sowemennyye Problemy Matematicheskogo Modelirovaniya, Vychislitelnykh Metodov i Informatsionnykh Tekhnologiy", pp. 182-184, (2018)
[9]  
Nakonechny O.G., Zinko P.M., Shevchuk Y.M., Estimate of parameters of difference equations under uncertainty, Proceedings of "Ukrainian Conference on Applied Mathematics", pp. 182-184, (2017)
[10]  
Ostrem K., Introduction to Stochastic Control Theory, (1973)