Evolutionary Algorithms for Approximate Optimal Control of the Heat Equation with Thermal Sources |
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Authors: | Akbar Hashemi Borzabadi Mohammad Heidari |
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Institution: | (1) L.M.A.M., Universit? de Metz, Metz, France;(2) Dipartimento di Matematica, Universit? di Roma “Tor Vergata”, Rome, Italy; |
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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. |
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Keywords: | |
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