Dynamic Discrepancy Method in the Problem of Reconstructing the Input of a System with Time Delay Control

Blizorukova, M. S.; Максимов, В. И.

doi:10.1134/s0965542521030040

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2023

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Cited by 2 publications

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Dynamic disturbance reconstruction under incomplete information in a nonlinear system of differential equations

Rozenberg

2023

2ND INTERNATIONAL CONFERENCE &Amp; EXPOSITION ON MECHANICAL, MATERIAL, AND MANUFACTURING TECHNOLOGY (ICE3MT 2022)

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Dynamic disturbance reconstruction under incomplete information in a nonlinear system of differential equations

Rozenberg

2023

2ND INTERNATIONAL CONFERENCE &Amp; EXPOSITION ON MECHANICAL, MATERIAL, AND MANUFACTURING TECHNOLOGY (ICE3MT 2022)

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Dynamical estimation of a noisy input in a system with a Caputo fractional derivative. The case of continuous measurements of a part of phase coordinates

Сурков

2023

MCRF

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<p style='text-indent:20px;'>The problem of estimating (reconstructing) an unknown input for a system of nonlinear differential equations with the Caputo fractional derivative is considered. Information on the position of the system is available for observations and only a part of system's parameters can be measured. The case of measuring all phase coordinates is also presented. The measurements are continuous and the data obtained in them are noisy. The considered problem is ill-posed and, to solve it, we use the method of dynamic inversion. It is based on regularization methods and constructions of positional control theory. In particular, we use the Tikhonov regularization method also known as the smoothing functional method and the Krasovskii extremal aiming method. The approach to estimating an unknown input implies introducing an auxiliary system (a model) with an appropriate rule of forming a control. The proposed estimation algorithm gives approximations of an unknown input and is stable under informational noises and computational errors. As an example illustrating the elaborated technique, a biological model of human immunodeficiency virus disease is used for simulation. The simulation results demonstrate the importance of the approach to on-line estimating unobservable parameters in real processes.</p>

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Dynamic Discrepancy Method in the Problem of Reconstructing the Input of a System with Time Delay Control

Cited by 2 publications

References 5 publications

Dynamic disturbance reconstruction under incomplete information in a nonlinear system of differential equations

Dynamic disturbance reconstruction under incomplete information in a nonlinear system of differential equations

Dynamical estimation of a noisy input in a system with a Caputo fractional derivative. The case of continuous measurements of a part of phase coordinates

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