Flexibility Control of Flexible Structures : Modeling and Control Method of Bending-Torsion Coupled Vibrations

Abstract

This paper describes a modeling of bending-torsion coupled vibrations of flexible structures, such as solar battery arrays, and a control method based on this model. The bending-torsion coupled vibrations are modeled by the unconstrained mode method in the case that the center of flexure does not coincide with the centroid in the cross section. The system and the observation equations of this system are derived after the modal decomposition. Considering the state feedback control system with the state estimator, we elucidate the effect of the coupling terms in this system. Furthermore, a control method to deal with noise contamination of the sensors is also shown. Finally, some simulation results of the bending-torsion coupled vibration control are presented.