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arXiv · 2311.09691

Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment

Julia Kalosha·Yevgeniia Yevgenieva·Alexander Zuyev
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Abstract

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.

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Julia Kalosha, Yevgeniia Yevgenieva, Alexander Zuyev. 2023-11-16. Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment. https://doi.org/10.1007/s10958-025-07875-1

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