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Nonlinear Constrained Optimal Control Problems and Cardinal Hermite Interpolant Multiscaling Functions
Author(s) -
Ashpazzadeh Elmira,
Lakestani Mehrdad,
Razzaghi Mohsen
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1526
Subject(s) - nonlinear system , mathematics , hermite polynomials , optimal control , mathematical optimization , nonlinear programming , sequential quadratic programming , quadratic equation , function (biology) , quadratic programming , mathematical analysis , geometry , physics , quantum mechanics , evolutionary biology , biology
In this paper, a numerical method for solving nonlinear quadratic optimal control problems with inequality constraints is presented. The method is based upon cardinal Hermite interpolant multiscaling function approximation. The properties of these multiscaling functions are presented first. These properties are then utilized to reduce the solution of the nonlinear constrained optimal control to a nonlinear programming one, to which existing algorithms may be applied. Illustrative examples are included to demonstrate the efficiency and applicability of the technique.