Nonlinear Constrained Optimal Control Problems and Cardinal Hermite Interpolant Multiscaling Functions

Publisher: John Wiley & Sons Inc

E-ISSN: 1934-6093|20|1|558-567

ISSN: 1561-8625

Source: ASIAN JOURNAL OF CONTROL, Vol.20, Iss.1, 2018-01, pp. : 558-567

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Abstract

Abstract

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.