Abstract
Absolute Nodal Coordinate Formulation (ANCF) is a kind of finite element method for the flexible multibody system with large deformation and large rotation. There are few studies which extract controllers from the mathematical expressions derived by ANCF. The main aim of this study is to propose a controller design procedure by the use of the mathematical expression which is derived by ANCF. A flexible beam is introduced as a controlled object and the control torque is applied to the one end of the beam. Control objective is to rotate the beam to the desired position as well as suppress the residual vibration of the beam. In the proposed method, a kind of ANCF which uses continuum mechanics approach is employed. Some assumptions and manipulations of the mathematical expression by that ANCF result in a suitable expression for controller design based on μ-synthesis framework. The validity of the proposed method is demonstrated by numerical simulations.
