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Partial Stabilization of an Orbiting Satellite Model with a Flexible Attachment

Julia KaloshaYevgeniia YevgenievaAlexander Zuyev
Nov 2023
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摘要原文
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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