Minimumtime maneuvers of flexible spacecraft
Abstract
Two control problems are considered in connection with the minimumtime maneuvers of a flexible spacecraft: (1) the timeoptimal resttorest slewing problem, which brings the rigidbody mode and a finite number of vibrational modes to rest at the final time; and (2) the timeoptimal spinup problem, which brings a finite number of vibrational modes to rest and leaves the rigidbody mode with a finite velocity at the final time. The control histories are shown to be bangbang with multiple switches. It is proved that the timeoptimal controls for both problems have important timesymmetry properties. A system of nonlinear algebraic equations satisfied by the optimal switching times, the optimal final time, and the optimal costates at midmaneuver is derived. In addition the upper bounds on the spillover are derived for a finitedimensional evaluation model; and it is observed that, for a scalar control input, the timeoptimal control history is independent of the control input location.
 Publication:

IN: Mechanics and control of large flexible structures (A9154451 2339). Washington
 Pub Date:
 1990
 Bibcode:
 1990mclf.conf..595S
 Keywords:

 Control Systems Design;
 Flexible Spacecraft;
 Satellite Attitude Control;
 Spacecraft Maneuvers;
 Time Optimal Control;
 Equations Of Motion;
 Spin Stabilization;
 Technological Forecasting;
 Astrodynamics