Abstract
In this paper, modeling and control of connected two flexible beams are discussed. We derive dynamic equations of the connected flexible beams by means of the Hamilton's principle. As the obtained boundary conditions are nonhomogeneous, we introduce a change of variables to derive homogeneous boundary conditions. By solving the eigenvalue problem related to the distributed parameter system, eigenvalues and corresponding eigenfunctions are obtained. We construct robust controllers to compensate the spillover instability caused by residual modes which are neglected at the controller design phase. Simulations have been carried out.
