Strategies for three dimensional deployment of tethered satellites

Kumar, K.; Pradeep, S.

doi:10.1016/s0093-6413(98)00071-8

Cited by 20 publications

(6 citation statements)

References 6 publications

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“…3c, d and 4c, d. In the However, as soon as the tension control causes the tether to retrieve from ρ = 1 to ρ = 0.01, we have that the length rate settles down to ρ ′ = 0, the pitch motion returns to the equilibrium, and the roll motion settles down to a sinusoidal oscillation of constant amplitude, corresponding to a limit cycle 4 . In this connection, an out-of-plane thrusting for the retrieval phase have been proposed for several authors to help stabilize this process 21,23,30,41 .…”

Section: Resultsmentioning

confidence: 99%

Controlling Tether Deployment and Retrieval by Lyapunov Approach Involving Quasiperiodic and Chaotic Motions

Salazar

Prado

2022

Preprint

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In the station keeping phase, the in-plane pitch motion of a two body tethered satellite system, that is revolving around the Earth in a Keplerian circular orbit, is similar to the motion of a simple pendulum, i.e. the local vertical position is a center with small oscillations about it, and the local horizontal is a saddle point. However, if the three-dimensional coupled pitch and roll motions are considered, the dynamics of the system exhibit quasi-periodic and chaotic behavior. In order to study the control of the quasiperiodic and chaotic motions of a two-body tethered satellite system, which moves along a Keplerian circular orbit, this paper proposes to suppress the quasi-periodic and chaotic dynamics during deployment and retrieval, by applying a non-linear tension force along the connecting tether. A Lyapunov approach is used to design the non-linear tension for controlling tether deployment and retrieval. The goal of the control is to steer the sub-satellite from quasi-periodic and chaotic states to the local upward vertical position. The numerical simulations show that the non-linear tension control law performs well, reduces the quasi-periodic and chaotic oscillations, and the three-dimensional trajectories can be guided close to the local vertical direction.

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Section: Resultsmentioning

confidence: 99%

Controlling Tether Deployment and Retrieval by Lyapunov Approach Involving Quasiperiodic and Chaotic Motions

Salazar

Prado

2022

Preprint

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“…However, as soon as the tension control caused the tether to retrieve from ρ = 1 to ρ = 0.01, the length rate settled down to ρ = 0; the pitch motion returned to equilibrium; and the roll motion settled down to a sinusoidal oscillation of constant amplitude corresponding to a limit cycle [3]. In this connection, Banerjee and Kane [21], Xu et al [44], Fujii and Ishijima [23], Kumar and Pradeep [30] proposed an out-of-plane thrusting for the retrieval phase to help stabilize this process. Figure 9 shows the in-plane and out-of-plane motion paths of the subsatellite for the controlled quasi-periodic (Figure 9a,b) and chaotic (Figuere 9c,d) trajectories.…”

Section: Deployment and Retrieval Performancesmentioning

confidence: 99%

“…Misra and Modi [41] and Nixon [3] studied the coupled motion of deployment and retrieval under a length-rate control algorithm in a circular orbit. Kumar and Pradeep [30], Salazar and Prado [39] linearized the motion equations about the local vertical to derive linear feedback control laws for the three-dimensional dynamics from a circular orbit. In this case, Kumar and Pradeep [30] employed a combination of tension control and out-ofplane thrusting.…”

Section: Introductionmentioning

confidence: 99%

“…Kumar and Pradeep [30], Salazar and Prado [39] linearized the motion equations about the local vertical to derive linear feedback control laws for the three-dimensional dynamics from a circular orbit. In this case, Kumar and Pradeep [30] employed a combination of tension control and out-ofplane thrusting. On the other hand, Salazar and Prado [39] only applied a linear tension control.…”

Section: Introductionmentioning

confidence: 99%

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Deployment and Retrieval Missions from Quasi-Periodic and Chaotic States under a Non-Linear Control Law

Salazar

Prado

2022

Symmetry

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When the length of the tether remains constant, the relative planar motion of the tethered subsatellite with respect to the base satellite in a circular orbit around the Earth, is similar to a simple pendulum motion, i.e., there are two kinds of equilibrium points: local vertical and local horizontal positions, which are center and saddle points, respectively. However, when out-of-plane motion is initially excited, the relative motion of the subsatellite presents symmetric quasi-periodic and chaotic behavior. In the first part of this study, such trajectories are analyzed by means of Poincaré sections. In the second part, a non-linear tension force by using a Lyapunov approach is proposed for controlling the coupled pitch-roll motion during the deployment and retrieval phases. The goal of this paper is to guide the relative non-linear motion of the subsatellite to the local upward vertical position. The numerical results show that the non-linear tension control steered the subsatellite close to the local vertical direction very well, reducing the quasi-periodic and chaotic oscillations.

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“…Alternate control laws based on the linear regulator problem were developed by Bainum et al in 1980 (Bainum andKumar 1980). A linear tension control law was provided by Pradeep in 1998 (Kumar andPradeep 1998). In 1999, Pradhan, Modi, and Misra (1999) presented a paper which studied several applications of the offset scheme in controlling the tethered systems.…”

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confidence: 99%

Hybrid fuzzy sliding mode control for motorised space tether spin-up when coupled with axial and torsional oscillation

Chen

Cartmell

2009

Astrophys Space Sci

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Strategies for three dimensional deployment of tethered satellites

Cited by 20 publications

References 6 publications

Controlling Tether Deployment and Retrieval by Lyapunov Approach Involving Quasiperiodic and Chaotic Motions

Controlling Tether Deployment and Retrieval by Lyapunov Approach Involving Quasiperiodic and Chaotic Motions

Deployment and Retrieval Missions from Quasi-Periodic and Chaotic States under a Non-Linear Control Law

Hybrid fuzzy sliding mode control for motorised space tether spin-up when coupled with axial and torsional oscillation

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