Control of Flexible Systems by Mathematical Programming

A class of control problems for a damped distributed parameter system governed by a system of partial differential equations with side constraints (equality and/or inequality) is considered. The proposed approaches approximate each control force of the system by a Fourier-type series. In contrast to standard linear optimal control approaches, the method used here is based on the Mathematical programming approach, in which the necessary condition of optimality is derived as a system of linear algebraic equations. The proposed approach is easy to apply to a large class of control problems.