Author(s): Andrashitov Dmitry Sergeevich, Chuvikova Victoria Viktorovna

Rubric: Information technology

DOI: 10.21777/2500-2112-2019-1-55-63

Release: 2019-1 (26)

Pages: 55-63

Keywords: informational message, mathematical model, parameter identification, iterative regularization

Annotation: The paper proposes an approach to estimating the unknown constant parameters of the mathematical model of analog signals used in modern measurement systems. Accounting for the physical features of such models leads to equations of state in the form of Lagrange equations of the second kind. Further identification requires the construction of a residual functional, the minimum of which is provided by the actual values of the unknown parameters. The formulated task is the inverse incorrect according to Hadamard. Its solution is reduced to the search for a stationary point at which the minimum of the smoothing functional is provided. For this purpose, an apparatus for asynchronous variation of the trajectory and needle variation of the disturbance is used. The search for minimum conditions by the method of successive approximation to a stationary point, and then the invariant immersion method to a two-point boundary value problem leads to an iterative algorithm for identifying parameters. The effectiveness of the proposed apparatus is confirmed by numerical simulation in the MathCad environment, a comparison of the results obtained by estimating the unknown parameters of the analog signal model with the results of the Kalman filter demonstrates the advantage of this approach.

Bibliography: Andrashitov DM.SE., Chuvikova VI.VI. METHOD OF IDENTIFICATION OF PARAMETERS OF ANALOG INFORMATION COMMUNICATION MODEL // Education Resources and Technologies. – 2019. – № 1 (26). – С. 55-63. doi: 10.21777/2500-2112-2019-1-55-63

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