Parametric synthesis of the optimal regulator on the basis of the calculus of variations for General mathematical model of the object

Abstract

The article discusses the parametric synthesis of the optimal regulator based on the calculus of variations, provided that the mathematical model of an object is represented by a differential equation in the operator form and the left and right parts in the form of algebraic polynomials of relative variable . In the same form is submitted mathematical model of the regulator. On this basis the system of Euler-Poisson equations for extreme variational problem is obtained. After equating the coefficients of the polynomials optimal problem and polynomials obtained from the initial equations of the object and the regulator, there was obtained a given structure regulator adjustments.

Keywords

optimization / mathematical model / Euler's equation / Lagrange function / parameters of regulator settings

RIGHTS & PERMISSIONS

Polianskiy V.P.