Numerical Optimal Measurement Algorithm under Distortions Caused by Inertia, Resonances, and Sensor Degradation

AUTOMATION AND REMOTE CONTROL(2021)

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摘要
The optimal measurement problem is the problem of minimizing the difference between virtual observation values obtained by using a computational model and experimental data. The study of this problem splits into three parts, namely, a mathematical model of optimal measurements, algorithms for the numerical analysis of this model, and software to implement these algorithms. Here we describe the first two parts. We also describe a mathematical optimal measurement model in the presence of various kinds of interferences and an approximation of the optimal measurement and prove that these approximations converge to the precise optimal measurement. A numerical algorithm for determining approximations of the optimal measurement is described.
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关键词
approximations of optimal measurement,Leontief type system,degenerate matrix flow,quadratic functional,optimal control problem,gradient descent method
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