Using the method of phase biplane to study dynamics of interactions of the elastic structural oscillations of the flexible spacecraft with the control system

A modal-physical representation of the mathematical model of flexible spacecraft enabling one to specify a diversity of the distinctions of the dynamics of controllable motion of the flexible objects was determined. The method of phase biplane enabling strict analysis of the dynamics of relay control of orientation of a flexible object with one dominating mode was described and extended to the method of the fuzzy phase biplane for approximate study of the dynamics of the multifrequency flexible spacecraft. Consideration was given to some important questions concerning the impact of structural flexibility on stability and performance of the control system of orientation of flexible spacecraft.