Time-optimal control of flexible structures

It is shown that the time-optimal control, for rest-to-rest maneuvers of a one-bending-mode model of a flexible structure is bang-bang with at most three switches and is symmetric about the second switch. For the case with damping, optimal reversal and maneuver times are calculated for a normalized system for several damping ratios. Since these times can be scaled for frequency and control authority, these results can be used to interpolate for times of any damping ratio. The variation of the optimal slewing times with structural frequency and damping ratio is presented.<
>