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

Author(s):

A. Fakharzadeh , M. Goodarzi

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.

Keywords:

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

Language:
English
Published:
Journal of Mathematical Extension, Volume:11 Issue: 2, Spring 2017
Pages:
43 to 52
https://www.magiran.com/p2266233