TY - JOUR AU - Tavallaei, Mohammad Ali AU - Tousi, Behrouz PY - 2008 TI - Closed Form Solution to an Optimal Control Problem by Orthogonal Polynomial Expansion JF - American Journal of Engineering and Applied Sciences VL - 1 IS - 2 DO - 10.3844/ajeassp.2008.104.109 UR - https://thescipub.com/abstract/ajeassp.2008.104.109 AB - In this study the use of orthogonal polynomials for obtaining a close form solution to optimal control problems with a weighed quadratic cost function, is proposed. The method consists of using the Orthogonal Polynomials for the expansion of the state variables and the control signal. This expansion results in a set of linear equations, from which the closed form solution is obtained. A numerical example is provided to demonstrate the applicability and effectiveness of the proposed method.