MINIMUM TIME FUEL EFFICIENT MANEUVER OF FLEXIBLE SPACECRAFT WITH VIBRATION AMPLITUDE CONSTRAINTS

This paper describes an on-off control scheme for minimum time maneuver of flexible spacecraft with vibration suppression during the slew. The method minimizes the maneuver time subject to constraints on residual vibration, sensitivity to modeling errors, rest-to-rest slew distance, and transient vibration amplitude. Furthermore, a solution is sought in the form of a plausible train of pulses, with coasting between pulses to provide inherent fuel efficiency. Two different techniques for obtaining the switching times are presented. The efficacy of the method is demonstrated by applying the theory to a linear model of a shuttle-borne antenna system and then using the results in a complex model in which the antennae can undergo large nonlinear elastic deformations during slewing.

[1]  K. E. Bisshopp,et al.  Large deflection of cantilever beams , 1945 .

[2]  Pierre T. Kabamba,et al.  Planar, time-optimal, rest-to-rest slewing maneuvers of flexible spacecraft , 1989 .

[3]  Warren P. Seering,et al.  Preshaping Command Inputs to Reduce System Vibration , 1990 .

[4]  Qiang Liu,et al.  Robust Time-Optimal Control of Uncertain Flexible Spacecraft , 1992 .

[5]  John L. Junkins,et al.  Near-Minimum Time, Closed-Loop Slewing of Flexible Spacecraft , 1990 .

[6]  Dynamics and control of the WISP Shuttle-antennae system , 1993 .

[7]  William Singhose,et al.  EXTRA-INSENSITIVE INPUT SHAPERS FOR CONTROLLING FLEXIBLE SPACECRAFT , 1996 .

[8]  Lucy Y. Pao,et al.  A comparison of constant and variable amplitude command shaping techniques for vibration reduction , 1995, Proceedings of International Conference on Control Applications.

[9]  L. Y. Pao Characteristics of the time-optimal control of flexible structures with damping , 1994, 1994 Proceedings of IEEE International Conference on Control and Applications.

[10]  Qiang Liu,et al.  Robust time-optimal control of uncertain structural dynamic systems , 1993 .

[11]  Qiang Liu,et al.  On actuator placement for robust time-optimal control of uncertain flexible spacecraft , 1992 .

[12]  Keith Eric Rogers Limiting vibration in systems with constant amplitude actuators through command preshaping. M.S Thesis - MIT , 1994 .

[13]  Hyochoong Bang,et al.  NEAR-MINIMUM-TIME CONTROL OF DISTRIBUTED PARAMETER-SYSTEMS - ANALYTICAL AND EXPERIMENTAL RESULTS , 1991 .

[14]  John L. Junkins,et al.  Near-minimum time open-loop slewing of flexible vehicles , 1989 .

[15]  Tarunraj Singh,et al.  Robust time-optimal control - Frequency domain approach , 1994 .

[16]  Garret N. Vanderplaats Automated Design Synthesis , 1986 .