Numerical solution optimal control problems with Abel polynomials

In this paper, we presented a numerical method for numerical approximation of linear constrained optimal control problems with quadratic performance index. The method with variable coefficients is based on Abel polynomials. The properties of Abel polynomials with the operational matrices of derivative are used to reduce optimal control problems to the solution of linear algebraic equations. Illustrativeexamples are included to demonstrate the validity and applicability of the technique

Keywords:

Optimal control , Abel polynomials , Best approximation , Operational matrix of derivative