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

Authors

  • A. Fakharzadeh
  • M. Goodarzi

DOI:

https://doi.org/10.30495/jme.v11i0.521

Keywords:

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

Abstract

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.

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Published

2017-04-07

Issue

Section

Vol. 11, No. 2, (2017)