A Modification on Rubio’s Theoretical Measure Method for Solving Classical Optimal Control Problems

A. Fakharzadeh, M. Goodarzi


In this paper, a revised measure-theoretical approach is applied for solving some classical optimal control problems. Indeed, the problem is converted into an optimization problem in measure space and then it is transformed into a finite dimensional nonlinear programming problem by using approximation scheme. At last, the nearly optimal control and trajectory functions are determined from the solution of the nonlinear optimization problem. A numerical example is given to demonstrate the efficiency of this method.


Optimal Control, Measure Theory, Nonlinear Optimization, Approximation, PSO Algorithm

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