Feedback controller design for optimal control of linear time-delay systems via variational iteration method

This article presents a new approach for solvingthe optimal control problem (OCP) of linear time-delay systemswith a quadratic cost functional. In this approach is employed toconvert the original time-delay optimal control problem(TDOCP) into a sequence of linear two-point boundary valueproblems (TPBVPs). The variational iteration method (VIM) isadopted to easily solve TPBVPs by use of iteration formulasderived from the correction functionals corresponding toequations. Also it provides a sequence which converges to thesolution of the problem without discretization of the variables.Illustrative examples are included to demonstrate the validityand applicability of the technique.

Keywords:

Optimal control , Time delay system , Pontryagin s maximum principle , Variational iteration method)