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Article . 2016
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Active Parametric Identification of Gaussian Linear Discrete System Based on Experiment Design

Active parametric identification of Gaussian linear discrete system based on experiment design
Authors: CHUBICH V.M.; CHERNIKOVA O.S.; BERIKET E.A.;

Active Parametric Identification of Gaussian Linear Discrete System Based on Experiment Design

Abstract

Summary: The application of methods of theory of experiment design for the identification of dynamic systems allows the researcher to gain more qualitative mathematical models compared with the traditional methods of passive identification. In this paper, the authors summarize results and offer the algorithms of active identification of the Gaussian linear discrete systems based on the design inputs and initial states. We consider Gaussian linear discrete systems described by state space models, under the assumption that unknown parameters are included in the matrices of the state, control, disturbance, measurement, covariance matrices of system noise and measurement. The original software for active identification of Gaussian linear discrete systems based on the design inputs and initial states are developed. Parameter estimation is carried out using the maximum likelihood method involving the direct and dual procedures for synthesizing A- and D-optimal experiment design. The example of the model structure for the control system of submarine shows the effectiveness and appropriateness of procedures for active parametric identification.

Keywords

PARAMETER ESTIMATION,MAXIMUM LIKELIHOOD METHOD,KALMAN FILTER,EXPERIMENT DESIGN,(FISHER) INFORMATION MATRIX,ОЦЕНИВАНИЕ ПАРАМЕТРОВ,МЕТОД МАКСИМАЛЬНОГО ПРАВДОПОДОБИЯ,ФИЛЬТР КАЛМАНА,ПЛАНИРОВАНИЕ ЭКСПЕРИМЕНТА,ИНФОРМАЦИОННАЯ МАТРИЦА, maximum likelihood method, Estimation and detection in stochastic control theory, Identification in stochastic control theory, планирование эксперимента, Filtering in stochastic control theory, оценивание параметров, метод максимального правдоподобия, Discrete-time control/observation systems, Linear systems in control theory, информационная матрица, фильтр Калмана, Kalman filter, УДК 618.5.015, experiment design, parameter estimation, (Fisher) information matrix

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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gold