A New Computational Method for Optimal Control Problem with B-spline Polynomials

Abstract

The main purpose of this work is to propose direct method which is employedby using state vector parameterization (SVP) to convert the quadratic optimal controlproblems into quadratic programming problem. The state vector parameterization isbased on the spline polynomial which includes: B-spline as a basis functions toapproximate the system state variables by a finite length of the basis functions seriesof unknown parameters. An example as application of this method is given