Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866911092282753024 |
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| author | Kalosha, Julia Yevgenieva, Yevgeniia Zuyev, Alexander |
| author_facet | Kalosha, Julia Yevgenieva, Yevgeniia Zuyev, Alexander |
| contents | We consider a mathematical model of an orbiting satellite, comprising a rigid carrier body and a flexible boom, operating under the influence of gravity gradient torque. This model is represented by a nonlinear control system, which includes ordinary differential equations governing the carrier body's angular velocity and attitude quaternion, coupled with the Euler-Bernoulli equations that describe the vibration of the flexible component. We propose an explicit feedback design aimed at guaranteeing the partial stability of the closed-loop system in an appropriate Hilbert space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09691 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment Kalosha, Julia Yevgenieva, Yevgeniia Zuyev, Alexander Optimization and Control 93D15, 93D05, 74K10 We consider a mathematical model of an orbiting satellite, comprising a rigid carrier body and a flexible boom, operating under the influence of gravity gradient torque. This model is represented by a nonlinear control system, which includes ordinary differential equations governing the carrier body's angular velocity and attitude quaternion, coupled with the Euler-Bernoulli equations that describe the vibration of the flexible component. We propose an explicit feedback design aimed at guaranteeing the partial stability of the closed-loop system in an appropriate Hilbert space. |
| title | Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment |
| topic | Optimization and Control 93D15, 93D05, 74K10 |
| url | https://arxiv.org/abs/2311.09691 |