Optimal control of the magnetohydrodynamic ocean wave energy converter: theory

This paper is a theoretical study of a method to obtain the maximum power output from the magnetohydrodynamic ocean wave energy converter by controlling the applied load impedance. The problem is solved by using the Pontriagin´s maximum principle. The solution, obtained by finding the stationary point of the Hamiltonian function, turns out to be the linearizing feedback, This makes it possible to solve the resulting two-point boundary-value problem by shifting the boundary conditions.