Design of Optimal Boundary Control for Elastic Beam Motions Based on an Integrodifferential Approach
A projective approach is considered to modelling and optimization of controlled motions for elastic beams. The approach is based on an integrodifferential formulation of the original PDE system and FEM technique. A discretization scheme is worked out and an explicit energy criterion of solution quality is proposed. The result ODE system is used to design the optimal control that minimizes the terminal beam energy. The numerical results obtained are analyzed and discussed.