Rest-to-rest attitude maneuvers and residual vibration reduction of a finite element model of flexible satellite by using input shaper

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Abstract

A three-dimensional rest-to-rest attitude maneuver of flexible spacecraft equipped by on-off reaction jets is studied. Equations of motion of the spacecraft is developed by employing a hybrid system of coordinates and Lagrangian formulation. The finite element method is used to examine discrete elastic deformations of a particular model of satellite carrying flexible solar panels by modelling the panels as flat plate structures in bending. Results indicate that, under an unshaped input, the maneuvers induce undesirable attitude angle motions of the satellite as well as vibration of the solar panels. An input shaper is then applied to reduce the residual oscillation of its motion at several natural frequencies in order to get an expected pointing precision of the satellite. Once the shaped input is given to the satellite, the performance improves significantly.

Figures

  • Fig. 1. The inertial reference frame Fi(OiXiYiZi), orbital reference frame Fo(OoXoYoZo), and main body fixed reference frame Fb(ObXbYbZb) definitions.
  • Fig. 2. The transformation from the orbital reference frame Fo to the main body fixed reference frame Fb.
  • Fig. 3. The model of satellite being investigated; element numbering, nodal point numbering, rigid main body fixed reference frame, and local reference frames.
  • Fig. 4. Particle p in a flexible substructure.
  • Fig. 5. A rectangular plate bending element model of solar panel.
  • Table 2 Parameters of the solar panels of satellite
  • Table 1 Lumped masses consisting of the rigid main body.
  • Fig. 6. Time responses under the bang-bang roll and yaw torque inputs: (a) attitude angle displacement of the main body, (b) vertical displacement measured in local reference frame of node 25 of solar panel.

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Robust time-optimal control: Frequency domain approach

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CITATION STYLE

APA

Parman, S., & Koguchi, H. (1999). Rest-to-rest attitude maneuvers and residual vibration reduction of a finite element model of flexible satellite by using input shaper. Shock and Vibration, 6(1), 11–27. https://doi.org/10.1155/1999/702162

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