Controllability and observability of discretized satellite magnetic attitude control system
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 ti...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023398?viewType=HTML |
| _version_ | 1811163518788960256 |
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| author | Sihui Liu Qingdao Huang |
| author_facet | Sihui Liu Qingdao Huang |
| author_sort | Sihui Liu |
| collection | DOAJ |
| description | 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 τ are chosen to investigate the effect on the controllability and observability of the resulting discrete system. The corresponding conclusions are obtained. |
| first_indexed | 2024-04-10T15:06:30Z |
| format | Article |
| id | doaj.art-85cb9db3fb1d4f448ff944dc49471a73 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T15:06:30Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-85cb9db3fb1d4f448ff944dc49471a732023-02-15T01:02:21ZengAIMS PressAIMS Mathematics2473-69882023-01-01847899791610.3934/math.2023398Controllability and observability of discretized satellite magnetic attitude control systemSihui Liu 0Qingdao Huang1School of Mathematics, Jilin University, Changchun, 130000, ChinaSchool of Mathematics, Jilin University, Changchun, 130000, ChinaIn 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 τ are chosen to investigate the effect on the controllability and observability of the resulting discrete system. The corresponding conclusions are obtained.https://www.aimspress.com/article/doi/10.3934/math.2023398?viewType=HTMLlinear time-varying systemcontrollabilityobservabilitydiscrete second-order systemsatellite attitude control motion equation |
| spellingShingle | Sihui Liu Qingdao Huang Controllability and observability of discretized satellite magnetic attitude control system AIMS Mathematics linear time-varying system controllability observability discrete second-order system satellite attitude control motion equation |
| title | Controllability and observability of discretized satellite magnetic attitude control system |
| title_full | Controllability and observability of discretized satellite magnetic attitude control system |
| title_fullStr | Controllability and observability of discretized satellite magnetic attitude control system |
| title_full_unstemmed | Controllability and observability of discretized satellite magnetic attitude control system |
| title_short | Controllability and observability of discretized satellite magnetic attitude control system |
| title_sort | controllability and observability of discretized satellite magnetic attitude control system |
| topic | linear time-varying system controllability observability discrete second-order system satellite attitude control motion equation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023398?viewType=HTML |
| work_keys_str_mv | AT sihuiliu controllabilityandobservabilityofdiscretizedsatellitemagneticattitudecontrolsystem AT qingdaohuang controllabilityandobservabilityofdiscretizedsatellitemagneticattitudecontrolsystem |