Chaotic motion and control of a tethered-sailcraft system orbiting an asteroid

Lian, Xiaobin; Liu, Jiafu; Zhang, Jinxiu; Wang, Chuang

doi:10.1016/j.cnsns.2019.04.026

Cited by 16 publications

(10 citation statements)

References 21 publications

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“…Actually, the retrieval operation is inherently unstable [2][3][4] . Additionally, the nonlinear dynamics of the problem can generate quasi-periodic and chaotic motions in a two-body TSS [4][5][6][7][8][9][10][11][12][13][14][15][16][17] . Many researchers looked at this problem, investigating the dynamics and control of a TSS during deployment, station keeping, and retrieval stages.…”

Section: Introductionmentioning

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: Introductionmentioning

confidence: 99%

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

Salazar

Prado

2022

Preprint

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“…In recent years, much interest has been given to the modeling and/or simulation of tethered systems, where the dynamics of interconnected bodies is studied (see, e.g. [26,41,24,25,43,44,40,42,2,32,33]). It turns out that the underlying dynamics is often described by a Hamiltonian system, for which the total energy is conserved.…”

Section: Introductionmentioning

confidence: 99%

Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints

Amodio¹,

Brugnano²,

Frasca-Caccia³

et al. 2022

Preprint

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“…The existence of chaotic dynamics explains the abnormal deaths of fish and birds in the eco-epidemiological model on the Salton Sea, which should be avoided 2 for ecological sustainability of the Sea [2]. Chaotic motions cause the unpredictability and high risk in asteroid explorations [3]. The emergence of a Shilnikov chaotic attractor in the economy model with financial bubbles in the banking sector may cause a financial crisis [4].…”

Section: Introductionmentioning

confidence: 99%

Control and Anti-control of Chaos Based on the Moving Largest Lyapunov Exponent Using Reinforcement Learning

Han

Ding

et al. 2021

Preprint

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In this work, we propose a method of control and anti-control of chaos based on the moving largest Lyapunov exponent using reinforcement learning. In this method, we design a reward function for the reinforcement learning according to the moving largest Lyapunov exponent, which is similar to the moving average but computes the corresponding largest Lyapunov exponent using a recently updated time series with a fixed, short length. We adopt the density peaks-based clustering algorithm to determine a linear region of the average divergence index so that we can obtain the largest Lyapunov exponent of the small data set by fitting the slope of the linear region. We show that the proposed method is fast and easy to implement through controlling and anti-controlling typical systems such as the Henon map and Lorenz system.

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Chaotic motion and control of a tethered-sailcraft system orbiting an asteroid

Cited by 16 publications

References 21 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

Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints

Control and Anti-control of Chaos Based on the Moving Largest Lyapunov Exponent Using Reinforcement Learning

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Chaotic motion and control of a tethered-sailcraft system orbiting an asteroid

Cited by 16 publications

References 21 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

Arbitrarily high-order energy-conserving methods for Hamiltonian problems with quadratic holonomic constraints

­­­Control and Anti-control of Chaos Based on the Moving Largest Lyapunov Exponent Using Reinforcement Learning

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Control and Anti-control of Chaos Based on the Moving Largest Lyapunov Exponent Using Reinforcement Learning