Switching delayed feedback control for an electrodynamic tether system in an inclined elliptic orbit

Kojima, Hirohisa; Sugimoto, Tetsuro

doi:10.1016/j.actaastro.2009.09.014

Cited by 24 publications

(4 citation statements)

References 13 publications

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“…However, for more realistic situations, it is necessary to take into account out-of-plane motion, tether flexibility, and inclination of the system with respect to the equator of the geomagnetic field. In order to simultaneously stabilise the in-plane and out-of-plane motion of an EDT system to periodic motion, sophisticated electric current control will be required, such as switching DF control (Kojima and Sugimoto, 2010). Despite this, the proposed concept based on combined electric current and tether length control is promising for stabilising librational motion of an EDT system to periodic motion with lower electric current requirements, because the geomagnetic field increases with decreasing altitude.…”

Section: Numerical Results For Df Controlmentioning

confidence: 99%

Stabilisation of in-plane periodic motion of electrodynamic tether system by combining tether length control and current control

Kojima

Aoki

2015

IJSPACESE

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A tether system is a large flexible structure connecting two or more satellites. Libration control methods of a tether system in elliptic orbits have been studied. For electrodynamic tether systems, these have included control of the tether length and the electric current. In previous studies, these two control methods were considered independently. However, by combining them, it is expected that the periodic motion of an electrodynamic tether system can be stabilised using a smaller electric current. The tether satellite system considered in the present study consists of two subsatellites and a mother satellite connected together in series via massless tethers. To stabilise the periodic motion using only a small electric current, two different tethers are used. The first is a non-electrodynamic tether whose length acceleration is varied using bang-bang control, and the other is an electrodynamic tether subject to proportional-derivative or delayed feedback control. The results of numerical simulations show that the proposed control scheme exhibits good performance for stabilising librational motion of the tether system to periodic motion, combining non-electrodynamic and electrodynamic tethers.

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Section: Numerical Results For Df Controlmentioning

confidence: 99%

Stabilisation of in-plane periodic motion of electrodynamic tether system by combining tether length control and current control

Kojima

Aoki

2015

IJSPACESE

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“…The control term uðtÞ vanishes when the states converge on the periodic solution, since xðt À jÞ ¼ xðtÞ for all j. For this moment, xðtÞ satifies both equations (16) and (17). ETDA has the advantage of being easy to implement in high-speed systems.…”

Section: Numerical Algorithm and Periodic Solutions Etda Methodsmentioning

confidence: 99%

“…If periodic solution x ¼ x 0 ðtÞ exists for system (16) when ¼ 0 , the local stability of the periodic solution is determined by the linearized equation…”

Section: Stability Analysis Of the Periodic Solutions Floquet Theorymentioning

confidence: 99%

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Periodic solutions and stability analysis of electrodynamic tethers for 13 degree international geomagnetic reference field

Yang

Cai

2018

Proceedings of the Institution of Mechanical Engineers, Part G:

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The geomagnetic field plays a crucial role in the operation of the electrodynamic tether system in the space. Using the 13 degree International Geomagnetic Reference Field to model the geomagnetic field, the libration dynamic equation of the system is established. The nonlinear libration dynamic equation of the system is a typical chaotic system. In the dynamic equation, there are four free parameters: the orbital inclination, the orbital eccentricity, the altitude of the perigee and the electrodynamic parameter. After adding dummy control terms into the dynamic system, the extended time delayed autosynchronization control method is employed to calculate the periodic solutions of the dynamic equation. The shapes and amplitudes of the periodic libration motions change with the free parameters regularity. Based on the Floquet theory, the stabilities of the periodic solutions are analyzed. The orbit time during which the initial periodic libration turns to the rotation motion is defined as the failure time. It is used to measure the instability of the periodic solution and validate the results from the Floquet theory. Simulations show that the results from the failure time are consistent with the results from the Floquet theory. For all parameters, the periodic solutions are all unstable. In addition, the relationships between the instabilities of the periodic solutions and the free parameters are obtained.

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An active time-optimal control for space debris deorbiting via geomagnetic field

Atashgah

Gazerpour

Lavaei

et al. 2017

Celest Mech Dyn Astr

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Switching delayed feedback control for an electrodynamic tether system in an inclined elliptic orbit

Cited by 24 publications

References 13 publications

Stabilisation of in-plane periodic motion of electrodynamic tether system by combining tether length control and current control

Stabilisation of in-plane periodic motion of electrodynamic tether system by combining tether length control and current control

Periodic solutions and stability analysis of electrodynamic tethers for 13 degree international geomagnetic reference field

An active time-optimal control for space debris deorbiting via geomagnetic field

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