Evolutionary Algorithms for Approximate Optimal Control of the Heat Equation with Thermal Sources

Evolutionary Algorithms for Approximate Optimal Control of the Heat Equation with Thermal Sources

0.00 Avg rating0 Votes
Article ID: iaor20123458
Volume: 11
Issue: 1
Start Page Number: 77
End Page Number: 88
Publication Date: Mar 2012
Journal: Journal of Mathematical Modelling and Algorithms
Authors: ,
Keywords: evolutionary algorithms, optimal control
Abstract:

In this paper, optimal control problem (OCP) governed by the heat equation with thermal sources is considered. The aim is to find an optimal control which puts the system in a finite time T, into a stationary regime and to minimize a general objective function. To obtain an approximate solution of this problem, a partition of the time‐control space is considered and the discrete form of the problem is converted to a quasi assignment problem. Then by using an evolutionary algorithm, an approximate optimal control function is obtained as a piecewise linear function. Numerical examples are given to show the proficiency of the presented algorithm.

Reviews

Required fields are marked *. Your email address will not be published.