Guidance, Navigation, and Control for the Eddy Brake Method

Gómez, Natalia Ortiz; Walker, Scott J.I.

doi:10.2514/1.g002081

“…Similarly, τ c (ω t ) is a function of ω t and is also not available. Note that one can obtain approximate equations for τ t (ω t ) and τ c (ω t ) by ( 6) and ( 9) in [19]. However, since the target is completely unknown, the parameters in these equations are also not available.…”

Section: Problem Setup and Preliminariesmentioning

confidence: 99%

“…this section, 3-DOF rotational dynamics simulation is adopted to demonstrate the performance of Dd-MHE for nonlinear systems. In this simulation, we employ the magnetic dipole approximation model for the de-tumbling torque, which is given as [19]:…”

Section: B 3-dof Rotational Dynamics Simulationmentioning

confidence: 99%

“…The above methods require a big data set to obtain an accurate deep learning network or all the eigenvalues. However, in the mission of eddy current de-tumbling [6], [19] where experiments cannot be repeated, the data set is not abundant and only has historical data on a single trajectory. A data-driven method based on behavior theory, the Willems' fundamental lemma [20], is a viable scheme for the angular velocity estimation of the mission.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Data-driven Moving Horizon Estimation for Angular Velocity of Space Noncooperative Target in Eddy Current De-tumbling Mission

Liu¹,

Chang²,

Lu³

et al. 2023

Preprint

0

View full text Add to dashboard Cite

Angular velocity estimation is critical for eddy current de-tumbling of noncooperative space targets. However, unknown model of the noncooperative target and few observation data make the model-based estimation methods challenged. In this paper, a Data-driven Moving Horizon Estimation (Dd-MHE) method is proposed to estimate the angular velocity of the noncooperative target with de-tumbling torque. In this method, model-free state estimation of the angular velocity can be achieved using only one historical trajectory data that satisfies the rank condition. With local linear approximation, the Willems' fundamental lemma is extended to nonlinear autonomous systems, and the rank condition for the historical trajectory data is deduced. Then, a data-driven moving horizon estimation algorithm based on the M-step Lyapunov function is designed, and the time-discount robust stability of the algorithm is given. In order to illustrate the effectiveness of the proposed algorithm, experiments and simulations are performed to estimate the angular velocity in eddy current de-tumbling with only de-tumbling torque measurement.

show abstract

“…Bennett and Schaub [17] extended the electrostatic detumble theory to three-dimensional tumbling motion. Gomez and Walker [18][19][20] developed an eddy-current method to produce an electromagnetic braking torque. Kumar and Sedwick [21] modeled the use of laser ablation to de-spin large space objects before docking.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of detumbling a rotating satellite using flexible deceleration rod

Dai

¹

,

Chen

²

,

Yue

³

2022

View full text Add to dashboard Cite

Malfunctioning satellites are generally non-cooperative tumbling objects. Due to their complex tumbling motion, it is essential to stabilize the target within an acceptable rotating range in the pre-capture phase. In contrast to contactless methods, contact methods based on flexible devices are efficient and can generate sufficient operating torque through flexible contact. However, accurate dynamic analysis of the operation is challenging because of two limitations. It is difficult to obtain a high-efficiency description of the large deformation arising from the operating process. Moreover, the contact between a flexible device and a tumbling object is hard to detect efficiently. This paper proposes a method for detumbling a free-floating rotating satellite; it uses a flexible rod to contact the solar array of the target. The absolute nodal coordinate formulation is first applied to a rod-contact detumbling model in simulation to describe the large deformation of the rod precisely with a low computational burden. Next, a two-step method to detect the contact is employed to pinpoint the contact point and speed up the simulation: coarse detection in the contactless phase and fine detection in the contact phase. Finally, the feasibility of the contact detumbling method is verified. In addition, through the further analysis of the contact process, some characteristics of this kind of strategy are studied for the first time.

show abstract

“…Bennett and Schaub [17] extended the electrostatic detumble theory to three-dimensional tumbling motion. Gomez and Walker [18][19][20] developed an eddy-current method to produce an electromagnetic braking torque. Kumar and Sedwick [21] modeled the use of laser ablation to de-spin large space objects before docking.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of detumbling a rotating satellite using flexible deceleration rod

Dai

¹

,

Chen

²

,

Yue

³

2021

Preprint

0

View full text Add to dashboard Cite

Malfunctioning satellites are generally non-cooperative tumbling objects. Due to their complex tumbling motion, it is essential to stabilize the target within an acceptable rotating range in the pre-capture phase. In contrast to contactless methods, contact methods based on flexible devices are efficient and can generate sufficient operating torque through flexible contact. However, accurate dynamic analysis of the operation is challenging because of two limitations. It is difficult to obtain a high-efficiency description of the large deformation arising from the operating process. Moreover, the contact between a flexible device and a tumbling object is hard to detect efficiently. This paper proposes a method for detumbling a free-floating rotating satellite; it uses a flexible rod to contact the solar array of the target. The absolute nodal coordinate formulation is first applied to a rod-contact detumbling model in simulation to describe the large deformation of the rod precisely with a low computational burden. Next, a two-step method to detect the contact is employed to pinpoint the contact point and speed up the simulation: coarse detection in the contactless phase and fine detection in the contact phase. Finally, the feasibility of the contact detumbling method is verified. In addition, through the further analysis of the contact process, some characteristics of this kind of strategy are studied for the first time.

show abstract

Guidance, Navigation, and Control for the Eddy Brake Method

Cited by 43 publications

References 26 publications

Data-driven Moving Horizon Estimation for Angular Velocity of Space Noncooperative Target in Eddy Current De-tumbling Mission

Data-driven Moving Horizon Estimation for Angular Velocity of Space Noncooperative Target in Eddy Current De-tumbling Mission

Dynamic analysis of detumbling a rotating satellite using flexible deceleration rod

Dynamic analysis of detumbling a rotating satellite using flexible deceleration rod

Contact Info

Product

Resources

About