Libration suppression of tethered space system with a moving climber in circular orbit

Shi, Gefei; Zhu, Zefei; Zhu, Zheng

doi:10.1007/s11071-017-3919-x

Cited by 46 publications

(29 citation statements)

References 20 publications

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“…Moreover, the local strength of geomagnetic field is described by the IGRF2000 model [20][21][22] in a body-fixed spherical coordinates of the Earth, such that…”

Section: Problem Formulationmentioning

confidence: 99%

Piecewise Parallel Optimal Algorithm

Zhu¹,

Shi²

2018

Optimization Algorithms - Examples

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This chapter studies a new optimal algorithm that can be implemented in a piecewise parallel manner onboard spacecraft, where the capacity of onboard computers is limited. The proposed algorithm contains two phases. The predicting phase deals with the openloop state trajectory optimization with simplified system model and evenly discretized time interval of the state trajectory. The tracking phase concerns the closed-loop optimal tracking control for the optimal reference trajectory with full system model subject to real space perturbations. The finite receding horizon control method is used in the tracking program. The optimal control problems in both programs are solved by a direct collocation method based on the discretized Hermite-Simpson method with coincident nodes. By considering the convergence of system error, the current closed-loop control tracking interval and next open-loop control predicting interval are processed simultaneously. Two cases are simulated with the proposed algorithm to validate the effectiveness of proposed algorithm. The numerical results show that the proposed parallel optimal algorithm is very effective in dealing with the optimal control problems for complex nonlinear dynamic systems in aerospace engineering area.

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“…Moreover, the local strength of geomagnetic field is described by the IGRF2000 model [20][21][22] in a body-fixed spherical coordinates of the Earth, such that…”

Section: Problem Formulationmentioning

confidence: 99%

Piecewise Parallel Optimal Algorithm

Zhu¹,

Shi²

2018

Optimization Algorithms - Examples

Self Cite

View full text Add to dashboard Cite

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“…Williams [20] designed a feedback controller and adopted the method for adjusting the length of the tether to control the librational motion of a tethered satellite in an elliptical orbit into periodic motion and stability of the periodic solutions was analyzed using Floquet theory. Recently, Shi et al [21] simplified a tethered satellite with a moving climber in a circular orbit into the two-piece dumbbell model and pointed out that a control strat-egy based on the sliding mode control is effective in suppressing the libration of the tethered system with tension control only. Yu et al [22] used the dumbbell model to study the chaotic behavior of a tethered satellite induced by atmospheric drag and the oblateness of the earth and the chaotic motion was suppressed by a tether length control based on a sliding mode controller.…”

Section: Introductionmentioning

confidence: 99%

Relative Equilibrium and Stability of a Three-body Tethered Satellite in an Elliptical Orbit

Xue

Zhao

et al. 2022

Preprint

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This work focuses primarily on the relative equilibrium and stability of a three-body tethered satellite which center of mass moves along an elliptical orbit with arbitrary eccentricity in the central Newtonian field. We only consider the case with straight tethers, and the lengths of them are small compared to the size of the orbit. It means that the attitude motion of the satellite has no impact on its orbital motion. Additionally, it assumes that the lengths of the tethers are controllable. The law of the tether length control is determined on the basis of the dynamical model of the system so that there exists an Earth-pointing relative equilibrium of the tethered satellite. By analyzing the Floquet multipliers of the linearized system, Lyapunov instability regions and linear stability regions of the relative equilibrium are obtained in a plane of dimensionless parameters. Further nonlinear stability analysis is presented in the linear stability regions by means of a normal form technique and stability theorems on the Hamiltonian system. In particular, stability of nonresonant cases as well as fourth-order resonant cases are investigated in detail.

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“…In the control strategy development for stable cargo transportation of PSE, Kojima and Fujii [15] proposed a "Mission Function" control law to suppress the libration of PSE in the cargo transfer period by adjusting the climber speed only. Shi and Zhu [10] proposed a flexible tension control strategy based on sliding mode control to regulate the climber speed with feedback of libration dynamic characteristics for libration suppression. Wen et al [16,17] and Sun et al [18,19] proposed tension control laws to stabilize the deployment of two-body tethered satellites, which are applicable for the libration suppression of PSE.…”

Section: Introductionmentioning

confidence: 99%

Libration-Free Cargo Transfer of Floating Space Elevator

Shi¹,

Zhu

2022

Preprint

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This paper studies the libration-free cargo transfer control of a partial space elevator where the main satellite may change its orbital state in the transfer period. The orbital motion of the main satellite in the climber transfer period is first studied. Then, a reduced-order libration-free dynamics of the partial space elevator is derived. Accordingly, a novel libration-free switching control strategy is proposed to stabilize the cargo transportation with two alternating controllers. The Controller I controls the cargo speed in the libration-free mode by a shrinking horizon model predictive control based on the reduced-order libration-free dynamic mode of the partial space elevator. This leads to high computational efficiency in control. Once the libration is induced by the cargo transfer, the control turns off the Controller I and activates the Controller II to suppress the libration to zero within one time step of the Controller I by a novel prescribed-time control law based on the fixed-time control scheme. The stability of the control is proved in the Lyapunov framework. The validity and effectiveness of the proposed control strategy are demonstrated by computation simulation. Simulation results reveal that the proposed control strategy is effective in keeping stable cargo transportation while ensuring the equilibrium state at the end of transportation.

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Libration suppression of tethered space system with a moving climber in circular orbit

Cited by 46 publications

References 20 publications

Piecewise Parallel Optimal Algorithm

Piecewise Parallel Optimal Algorithm

Relative Equilibrium and Stability of a Three-body Tethered Satellite in an Elliptical Orbit

Libration-Free Cargo Transfer of Floating Space Elevator

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