A New Computational Method for Optimal Control Problem with B-spline Polynomials
Dr. Suha N. Al-Rawi , Fuad A. Al-Heety , Saba S. Hasan
Abstract

The main purpose of this work is to propose direct method which is employed by using state vector parameterization (SVP) to convert the quadratic optimal control problems into quadratic programming problem. The state vector parameterization is based on the spline polynomial which includes: B-spline as a basis functions to approximate the system state variables by a finite length of the basis functions series of unknown parameters. An example as application of this method is given.
Keywords: Optimal control, direct method, B-spline polynomials.