Open AccessThe method of parameterization in the quadratic optimal control problem
Author(s) -
В. А. Срочко,
В. Г. Антоник,
E. V. Aksenyushkina
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1847/1/012023
Subject(s) - quadratic programming , piecewise , mathematics , quadratic equation , constant (computer programming) , optimal control , piecewise linear function , sequential quadratic programming , mathematical optimization , class (philosophy) , set (abstract data type) , constant coefficients , optimization problem , computer science , mathematical analysis , artificial intelligence , programming language , geometry
In the framework of control parameterization method the optimization problem with respect to linear phase system with quadratic functional is considered. Approximation of the control is obtained in the class of piecewise constant functions. It is formed as a linear combination of a special set of support functions. Coefficients of this combination are variables of the finite-dimensional problem. To effectively solve this problem explicit expressions for the functional with respect to parameters of approximations are obtained. As a result the quadratic mathematical programming problem is formulated.