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AIMS Mathematics

2023, Volume 8, Issue 4: 7899-7916. doi: 10.3934/math.2023398
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Research article

Controllability and observability of discretized satellite magnetic attitude control system

  • School of Mathematics, Jilin University, Changchun, 130000, China
  • Received: 20 October 2022 Revised: 02 January 2023 Accepted: 12 January 2023 Published: 31 January 2023

  • MSC : 93B05, 34A25

  • In this paper, two different discrete schemes of the second-order linear time-varying system represented by the linearized satellite magnetic attitude control motion equation are obtained by Euler method. Then, the controllability and observability conditions of a new discrete second-order linear time-varying system are proposed and the validity of these conditions is further verified by some numerical examples. Next, the theoretical results are applied to investigate the controllability and observability of the discretized satellite magnetic control system. Different periods $ \tau $ are chosen to investigate the effect on the controllability and observability of the resulting discrete system. The corresponding conclusions are obtained.

    Citation: Sihui Liu, Qingdao Huang. Controllability and observability of discretized satellite magnetic attitude control system[J]. AIMS Mathematics, 2023, 8(4): 7899-7916. doi: 10.3934/math.2023398

    Related Papers:

  • In this paper, two different discrete schemes of the second-order linear time-varying system represented by the linearized satellite magnetic attitude control motion equation are obtained by Euler method. Then, the controllability and observability conditions of a new discrete second-order linear time-varying system are proposed and the validity of these conditions is further verified by some numerical examples. Next, the theoretical results are applied to investigate the controllability and observability of the discretized satellite magnetic control system. Different periods $ \tau $ are chosen to investigate the effect on the controllability and observability of the resulting discrete system. The corresponding conclusions are obtained.


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