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Attitude and Vibration Control of Flexible Satellites with Multi-Section Solar Panels Using Boundary Controller and Observer

Ataei, Mohammad Mahdi | 2021

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 55643 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Salarieh, Hassan; Nejat Pishkenari, Hossein
  7. Abstract:
  8. Precise adjustment of orientation is vital in many important applications of satellites. Besides, in order to have sustainable power source and to reduce heavy costs of launching deployable solar arrays with large area to mass ratio are utilized. The vibrations in these flexible parts and attitude dynamics of the main hub influence eachother mutually. Thus, simultaneous attitude and vibrations control is of noticeable significance. In this thesis considering new details such as multi-section solar panels, the governing dynamic partial differential equations (PDE) are derived via Hamilton principle. In order that errors arised from discretized models be eliminated and just using regular torque actuators in the main hub, one set of boundary controllers is introduced and asymptotic stability of attitude dynamics is proved. Also, necessary conditions for asymptotic stability of vibrations are discussed. To require the least number of easily measurable feedback signals is among advantages of the proposed method.In addition, for the first time a PDE observer is designed to be used for flexible satellite attitude and vibration control. Hence, boundary feedback signals are calculated by the observer and just attitude and angular velocity of the hub need to be measured. The asymptotic stability of the entire closed-loop system is approved and suitable performance of this observer based boundary controller is illustrated by finite element (FEM) simulations.Furthermore, the governing equations of solar panels’ torsional vibrations are derived in addition to bending. Then PDE observer and boundary controllers are designed for the pitch-torsion and roll-bending coupled dynamics accompanied by asymptotic stability proof and illustration of the closed-loop system behavior through FEM simulations.
  9. Keywords:
  10. Attitude Control ; Flexible Satellites ; Boundary Control ; Partial Differential Equations ; Asymptotic Stabilization ; Partial Differential Equations (PDE)

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