Tether Deformation of Spinning Electrodynamic Tether System and Its Suppression with Optimal Controller

Lu, Hongshi; Li, A.; Wang, C.; Zabolotnov, Yu. M.

doi:10.1061/(asce)as.1943-5525.0001233

Cited by 11 publications

(4 citation statements)

References 22 publications

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“…As shown in Fig. 1, the model with distributed parameters (lumped model) assumes that the tether is represented by a discrete set of massive points connected by elastic massless mechanical springs [12]. By considering flexible motions of the tether, system motion is demonstrated with higher fidelity in this model.…”

Section: Flexible Lumped Model With Distributed Parametersmentioning

confidence: 99%

“…Wang et al further proposed that unstable tether motions and attitude motions of end bodies lead to risks such as the entanglement of end bodies with the tether [8]. To ensure a stable spin-up process of a SEDT, Luo et [11,12] and validated the feasibility of stabilizing tether deformations by adjusting electrical currents. However, the closed-loop optimal controller in his work was still proposed based on the assumption of an inflexible tether.…”

Section: Introductionmentioning

confidence: 99%

“…To avoid risks of entanglement of tethered end bodies with the deformed tether, a controller strategy considering both tether deformation and attitude motions of end bodies is required to ensure a safe spin-up maneuver. The main challenge of tether deformation control is that tether spinning motion and its deformation are almost decoupled from each other [12], that is, the SEDT is an underactuated system [1]. The main challenge of attitude control of end bodies is the limit of control moment, that is, the attitude controller should consider input saturation [25,26].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Nonlinear deformation and attitude control for spinning electrodynamic tether systems during spin-up stage

Hongshi,

Hang,

Changqing

et al. 2024

Nonlinear Dyn

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This paper studies the non-linear control of a spinning electrodynamic tether system during its spin-up process. The main problem of the spin-up process is that the tether shape may become irregular due to distributed electrodynamic force, which can lead to risks such as entanglement of the deformed tether with end bodies (base spacecraft and sub-satellite). To deal with this problem, a nonlinear control strategy is proposed in this paper for reducing tether deformation and for stabilizing attitude motions of end bodies. Firstly, the tether system is modeled based on the assumption of a flexible tether, and the minimum current for spin-up is given as the basis for open-loop program design. Secondly, considering the underactuation problem of the tether system, a sliding mode controller with an adaptive law is proposed to track spinning motion and stabilize tether deformation by adjusting only electrical current. Thirdly, considering the limit of attitude control moment, a high-gain saturated controller is proposed to stabilize the attitude motions of end bodies. In the end, numerical results validate that under the regulation of the proposed control strategy, tether deformation is reduced to an insignificant level, and attitude motions of end bodies are stabilized around designated orientations.

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Section: Flexible Lumped Model With Distributed Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonlinear deformation and attitude control for spinning electrodynamic tether systems during spin-up stage

Hongshi,

Hang,

Changqing

et al. 2024

Nonlinear Dyn

Self Cite

View full text Add to dashboard Cite

show abstract

“…Mostly based on different mathematical models and for different purposes, a range of designs of control system are presented in the literature associated to space tether systems as, for example, feedback linearization (Mankala and Agrawal, 2005, 2006; Trushlyakov and Yudintsev, 2020), optimal control (Feng et al, 2020; Li et al, 2021; Lu et al, 2021) optimal control and control of chaos (Barkow et al, 2003), passivity based control design (Larsen and Blanke, 2011), proportional-derivative control law with gain scheduling (Botta et al, 2020) and based on the SDRE method (Kuo, 2016). In recent years, green technologies are raising interest with electrodynamic tethers generating control forces by interacting with the ionosphere (Bechasnov, 2021; Sarego et al, 2021).…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling and partial feedback linearization control of a constrained and underactuated space tether

Fenili

2022

Journal of Vibration and Control

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This paper investigates the application of the nonlinear control technique called collocated partial feedback linearization to the position and stretching control of a planar underactuated mechanical system. This system is designed to emulate under certain conditions the behavior of a space tether connected to one mass (representing a satellite) at each of its extremities. The flexible cable is approximated by two rigid bodies (thin rods) with springs and dampers attached to represent the cable stiffness and structural damping. The control objective is to move both satellites to its desired positions and to guarantee that on the final configuration the tether is completely stretched. The stability of the closed-loop system is verified and it is proved that the system has global asymptotic stability. The performance of the proposed nonlinear control technique is analyzed via numerical simulations for two cases: one case considering three different values for the damping coefficients and one case considering three different values for the stiffness coefficients. The simulation results show that the collocated partial feedback linearization plus a proportional-derivative control is able to move the satellites to the desired positions and to keep the cable stretched.

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Model predictive control for spin-up maneuver of an electrodynamic tether system

et al. 2021

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Tether Deformation of Spinning Electrodynamic Tether System and Its Suppression with Optimal Controller

Cited by 11 publications

References 22 publications

Nonlinear deformation and attitude control for spinning electrodynamic tether systems during spin-up stage

Nonlinear deformation and attitude control for spinning electrodynamic tether systems during spin-up stage

Mathematical modeling and partial feedback linearization control of a constrained and underactuated space tether

Model predictive control for spin-up maneuver of an electrodynamic tether system

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