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A Numerical-Analytic Method for Describing and Estimating Input and Output Parameters of a Multidimensional Dynamical Object: Part I

  • COMPUTATIONAL AND DATA ACQUISITION SYSTEMS
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Optoelectronics, Instrumentation and Data Processing Aims and scope

Abstract

The paper develops a method for describing and estimating the state of a multidimensional dynamical object including the numerical-analytical representation of the general solution to the differential equation for the dynamical object and its measurable output, accounting for the domain of admissibility of time values and initial condition and of the uncertainty parameters in the right-hand side of the equation. The required quality of representation is achieved by using the family of previously constructed high-precision reference integral curves (of the needed size) and the principle of smooth dependence of solution and measured cooordinates in the given domain of admissibility for a wide class of dynamical objects. The estimate of method errors is given and the recommendations for the choice of its main parameters are provided.

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Authors and Affiliations

  1. All-Russia Research Institute Gradient, 344000, Rostov-on-Don, Russia

    Yu. G. Bulychev & A. V. Yachmenev

  2. Research and Production Association Kvant, 173001, Veliky Novgorod, Russia

    A. G. Kondrashov

  3. Kaluga Research Radiotechnical Institute, 249192, Zhukov, Kaluga oblast, Russia

    P. Yu. Radu

Authors
  1. Yu. G. Bulychev
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  2. A. G. Kondrashov
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  3. P. Yu. Radu
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  4. A. V. Yachmenev
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Corresponding author

Correspondence to Yu. G. Bulychev.

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Translated by E. Oborin

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Bulychev, Y.G., Kondrashov, A.G., Radu, P.Y. et al. A Numerical-Analytic Method for Describing and Estimating Input and Output Parameters of a Multidimensional Dynamical Object: Part I. Optoelectron.Instrument.Proc. 56, 269–279 (2020). https://doi.org/10.3103/S8756699020030036

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  • DOI: https://doi.org/10.3103/S8756699020030036

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