NEAR-MINIMUM TIME OPEN-LOOP SLEWING OF FLEXIBLE VEHICLES
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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 Pontryagins 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.