The Numerical Solution for Quadratic Optimal Control Problems by Using Chebyshev and Legendre Polynomials

Abstract

The purpose of this paper is to solve quadratic optimal control problems (QOCP) numerically with the assist of once Chebyshev and Legendre polynomials as basic functions to find the solution for optimal control (QOC) approximately. We will explain the algorithms of solution by examples and use the Mathcad’s Program to reach the exact result.