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Industrial Automatic Control Systems and Controllers

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Features of Interpolation on the Generalized Formulas
Rakov V.I. Zakharova O.V. Sambienou K.C.

Difficulties of approximation in continual models of control are specified. Restrictions of the main known methods of modeling of nonlinear functions are noted.
The problem of creation of a method of interpolation on varied functional bases with orientation to use of small number of knots of interpolation is planned.
The new treatment of the «generalized» method of Lagrange is offered and the new formula of interpolation on the structure-forming functions, called Lagrange’s generalized formula is offered to use.
For an assessment of its applicability the model of interactive program system is offered and the main functionality of the program is described.
On program system computing experiments are made and efficiency of change of knots and structures of interpolation functions is noted. The assumption of efficiency of use of the offered interpolation on the generalized formulas is made.

Keywords: control; model; interpolation.

Contacts: E-mail: rakov2010vi@mail.ru

Pp. 27-36.

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