Near-minimum time open-loop slewing of flexible vehicles Academic Article uri icon


  • Minimum time, open-loop, optimal controls are calculated for single-axis maneuvers of a flexible structure. By shaping the control profiles with two independent parameters, a wide variety of control histories can be produced. Based on the dynamics of the model, with a normalized time scale, the resulting Pontryagin’s necessary conditions yield a nonlinear fixed final time, fixed final state, two-point boundary value problem with the maneuver time as a control parameter. Upon generating numerical solutions to the problem, the final maneuver time and residual flexural energy are compared to the bang-bang solution as a measure of the success of a given maneuver. Examples presented illustrate near-minimum time maneuvers with control of flexible modes in addition to the rigid body modes, as well as the qualitative and quantitative effect of the torque shaping parameters. © 1989 American Institute of Aeronautics and Astronautics, Inc. All rights reserved.

author list (cited authors)

  • Thompson, R. C., Junkins, J. L., & Vadali, S. R.

citation count

  • 51

publication date

  • January 1989