Equal-collision-probability-curve method for safe spacecraft close-range proximity maneuvers

Wang, Yi; Bai, Yuzhu; Xing, Jian-jun; Radice, Gianmarco; Ni, Qin; Chen, Xiaoqian

doi:10.1016/j.asr.2018.07.007

Cited by 13 publications

(13 citation statements)

References 36 publications

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“…Wang et al (2017; 2018) developed an ECPC method for spacecraft close-range safe proximity in the presence of uncertainties. Similar to the concept of an isobaric curve, the ECPC represents a curve consisting of equal collision probability points around the chief spacecraft.…”

Section: The Ecpc Methodsmentioning

confidence: 99%

“…As the collision probability varies with different shapes (Bai et al, 2016), the shape has great influence on the traditional ECPC method. However, in the ECPC method, Wang et al (2017; 2018) assumed that the geometrical shapes of the two spacecraft were spheres but most space objects are not actually spheres. Therefore, if the spacecraft shape is assumed as a sphere in some scenarios, the safety performance of the mission deteriorates, as a collision will normally lead to mission failure.…”

Section: The Mecpc Methodsmentioning

confidence: 99%

“…To address this problem, Wang et al (2017; 2018) proposed an Equal-Collision-Probability-Curve (ECPC) method for the spacecraft close-range safe proximity problem in the presence of navigation and control uncertainties. Firstly, considering those uncertainties, the ECPC around the chief spacecraft is established.…”

Section: Introductionmentioning

confidence: 99%

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Multi-Equal-Collision-Probability-Cure Method for Convex Polygon-shape Spacecraft Safe Proximity Manoeuvres

et al. 2018

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In this paper, the spacecraft close-range safe proximity problem is investigated. In the presence of a “chief” spacecraft, a Multi-Equal-Collision-Probability-Curve (MECPC) method is developed. The influence of the chief spacecraft with a convex polygon shape is considered and the chief spacecraft is divided into several small components. Each component generates a corresponding separate repulsive force and the superposition of these forces is regarded as the ultimate avoidance force. As a result, the proposed MECPC method not only improves the system robustness against control and navigation uncertainties but is also analytically validated in collision avoidance. The MECPC method solves the safe proximity problem in the presence of a convex polygon shape. In addition, an Improved Linear Quadratic Regulator (ILQR) is designed to track the expected trajectory. Numerical simulations are performed in a close-range operation environment to verify the effectiveness of the proposed MECPC method.

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Section: The Ecpc Methodsmentioning

confidence: 99%

Section: The Mecpc Methodsmentioning

confidence: 99%

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Multi-Equal-Collision-Probability-Cure Method for Convex Polygon-shape Spacecraft Safe Proximity Manoeuvres

et al. 2018

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“…Therefore, GMM is applied, which can give an analytical expression and more accurate depiction of the target outline. The GMM can be regarded as a model composed of K single Gaussian probability density functions [28], as shown in Equation 10. These K sub-models are hidden variables of the mixed model.…”

Section: Gmm-based Apf Designmentioning

confidence: 99%

“…GMM has been widely used in estimation of space object collision probability [22], uncertainty propagation [23,24], trajectory optimization [25], model construction [26], and image reconstruction [27]. Based on GMM, an equal-collision-probability-curve method is proposed for safe spacecraft close-range proximity maneuvers, which uses the collision-probability to describe the space around the target spacecraft for safety problem [28,29]. In this paper, the GMM is used to reconstruct the complex shape of spacecraft, and a novel APF is built to constrain the motion trajectory.…”

Section: Introductionmentioning

confidence: 99%

Safe Proximity Operation to Rotating Non-Cooperative Spacecraft with Complex Shape Using Gaussian Mixture Model-Based Fixed-Time Control

et al. 2020

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This paper studies the safety control problem for rotating spacecraft proximity maneuver in presence of complex shaped obstacles. First, considering the attitude change of the target spacecraft, a dynamic model of close-range relative motion in a body-fixed coordinate system is derived using a novel approach. Then, the Gaussian mixture model (GMM) is utilized to reconstruct the complex shape of the spacecraft, and a novel GMM-based artificial potential function (APF) is proposed to represent the collision avoidance requirement. By combining GMM-based APF with fixed-time stability methodology, a fixed-time control (FTC) is designed for close-range proximity operation to a rotating spacecraft having a complex shape. The presented GMM-FTC scheme can guarantee the convergence of relative state errors, and ensure that no collision occurs. Finally, simulation results are provided to illustrate the feasibility of the proposed control approach.

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Spacecraft formation reconfiguration with multi-obstacle avoidance under navigation and control uncertainties using adaptive artificial potential function method

Wang

Chen²,

Ran³

et al. 2019

Astrodyn

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Equal-collision-probability-curve method for safe spacecraft close-range proximity maneuvers

Cited by 13 publications

References 36 publications

Multi-Equal-Collision-Probability-Cure Method for Convex Polygon-shape Spacecraft Safe Proximity Manoeuvres

Multi-Equal-Collision-Probability-Cure Method for Convex Polygon-shape Spacecraft Safe Proximity Manoeuvres

Safe Proximity Operation to Rotating Non-Cooperative Spacecraft with Complex Shape Using Gaussian Mixture Model-Based Fixed-Time Control

Spacecraft formation reconfiguration with multi-obstacle avoidance under navigation and control uncertainties using adaptive artificial potential function method

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