Optimal boundary control of a tracking problem for a parabolic distributed system using hierarchical fuzzy control and evolutionary algorithms

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