Title :
Time-optimal control of flexible structures
Author :
Pao, L.Y. ; Franklin, G.F.
Author_Institution :
Dept. of Electr. Eng., Stanford Univ., CA, USA
Abstract :
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
Keywords :
bang-bang control; damping; optimal control; vibration control; bang bang control; damping; flexible structures; one-bending-mode model; slewing times; structural frequency; time-optimal control; vibration control; Boundary conditions; Control systems; Damping; Equations; Flexible structures; Optimal control; Size control; Sufficient conditions; Switches; Vectors;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203463
