الفهرس | Only 14 pages are availabe for public view |
Abstract This dissertation presents theory and implementations of numerical methods for accurately and efficient solving linear optimal control problems. many computational methods have been proposed to solve linear optimal control problems. In this thesis, we deduce the differentiation and integration matrices based on Legendre and Chebyshev polynomials using these matrices to solve linear optimal control problems. Finally, we introduce a new efficient technique for solving linear optimal control problems governed by ordinary differential equations using Legendre polynomial based on orthogonality property of Legendre polynomial this technique is simplified than both differentiation and integration matrices the method converts the optimal control system into standard linear programming problem. |