Optimal boundary control of a tracking problem for a parabolic distributed system with open-loop control using evolutionary algorithms

Abstract

In this paper we examine the application of evolutionary algorithms to find open-loop control solutions of the optimal control problem arising from the semidiscretisation of a linear parabolic tracking problem with boundary control. The solution is compared with the solutions obtained by methods based upon the variational equations of the Minimum Principle and the finite element method.

Keywords

• Parabolic distributed system
• Boundary control
• Optimal control
• Open-loop control
• Evolutionary algorithms