A new approach for solving of optimal nonlinear control problems

摘要

In this paper, we are going to consider a nonlinear optimal control problem (NOC). First we change the (NOC) problem to an optimal differential inclusion problem (ODI), then by defining new control variables, (ODI) problem is converted to an optimal control problem where it is linear in term of control variable and we determine the approximation of this control problem, then by using measure theory, we may convert the new optimal control problem to an infinite dimensional linear programming problem. We approximate the latest one to a finite linear programming problem, then by using of the optimal solution of the linear programming we obtain an approximation of the state and feedback control of the original (ONC) problem.