Optimal robust linearized impulsive rendezvous

Tang, Guojian; Luo, Yuling; Li, Haiyang

doi:10.1016/j.ast.2007.04.001

Cited by 41 publications

(21 citation statements)

References 13 publications

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“…Besides observability, safety which is related to trajectory dispersion and fuel efficiency since satellites usually have a tight mass budget should be tradeoff at the meantime. Tang et al [23] and Luo et al [24][25][26] took the navigation and control error into consideration and defined the open-loop optimal robust rendezvous planning method, making tradeoff between fuel consumption, rendezvous time, and trajectory robustness. Li et al [27] furtherly constructed closed-loop multiple objective optimization problem (MOOP) considering the position robustness, velocity robustness, and fuel.…”

Section: Introductionmentioning

confidence: 99%

Time and Covariance Threshold Triggered Optimal Uncooperative Rendezvous Using Angles-Only Navigation

You

Wang

Paccolat

et al. 2017

International Journal of Aerospace Engineering

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A time and covariance threshold triggered optimal maneuver planning method is proposed for orbital rendezvous using angles-only navigation (AON). In the context of Yamanaka-Ankersen orbital relative motion equations, the square root unscented Kalman filter (SRUKF) AON algorithm is developed to compute the relative state estimations from a low-volume/mass, power saving, and lowcost optical/infrared camera's observations. Multi-impulsive Hill guidance law is employed in closed-loop linear covariance analysis model, based on which the quantitative relative position robustness and relative velocity robustness index are defined. By balancing fuel consumption, relative position robustness, and relative velocity robustness, we developed a time and covariance threshold triggered two-level optimal maneuver planning method, showing how these results correlate to past methods and missions and how they could potentially influence future ones. Numerical simulation proved that it is feasible to control the spacecraft with a two-line element-(TLE-) level uncertain, 34.6% of range, initial relative state to a 100 m v-bar relative station keeping point, at where the trajectory dispersion reduces to 3.5% of range, under a 30% data gap per revolution on account of the eclipse. Comparing with the traditional time triggered maneuver planning method, the final relative position accuracy is improved by one order and the relative trajectory robustness and collision probability are obviously improved and reduced, respectively.

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Section: Introductionmentioning

confidence: 99%

Time and Covariance Threshold Triggered Optimal Uncooperative Rendezvous Using Angles-Only Navigation

You

Wang

Paccolat

et al. 2017

International Journal of Aerospace Engineering

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“…In addition, the error analysis in [12][13][14][15][16] are executed after the completion of normal trajectory design, therefore being not incorporated into the closed-loop of design. Recently, Tang et al has reported the combination of optimal normal rendezvous design with error analysis [17]. It is shown in this study that the proposed approach can evaluate different rendezvous maneuver schemes and at the same time quickly determine the relation between the propellant cost and the trajectory robustness.…”

Section: Introductionmentioning

confidence: 90%

“…navigation errors is incorporated in this study, whereas only control errors are considered in [17]; (2) We introduce the robustness performance into the multi-objective of propellant-optimal and time-optimal rendezvous problem, while the singleobjective of propellant-optimal time-fixed problem in [17]; and (3) The goal of this study is to demonstrate the relation between the robustness performance index, the time of rendezvous and the propellant cost regarding both control error and navigation errors, while the previous works [18,19] have only demonstrated the relation between the trajectory safety performance index, the time of rendezvous and the propellant cost in the normal rendezvous trajectory design.…”

Section: Introductionmentioning

confidence: 99%

Optimal multi-objective linearized impulsive rendezvous under uncertainty

Luo

Jinzhang

et al. 2010

Acta Astronautica

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“…Recently, in addition to considering the propellant consumption and the rendezvous time, trajectory robustness has been gotten attention in the trajectory design of autonomous rendezvous [11,12], where the fixed levels of navigation and control errors are considered in the optimization, in this way, the scopes of relative state dispersion can be optimized. However, the navigation and control errors of the actual close-looped autonomous rendezvous must differ from the fixed levels of navigation and control errors, and research into optimal multi-objective trajectory design based on close-looped control is necessary.…”

Section: Introductionmentioning

confidence: 99%

Optimal multi-objective trajectory design based on close-looped control for autonomous rendezvous

Tang

2011

Sci. China Technol. Sci.

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This paper considers the problem of optimal multi-objective trajectory design for autonomous rendezvous. Total velocity cost and relative state robustness of close-looped control are selected as the objective functions. Based on relative dynamics equations, the state equations and measurement equations for angles-only relative navigation between spacecrafts are set forth. According to the method of linear covariance analysis, the close-looped control covariance of the true relative state from the reference relative state is analyzed, and the objective functions of relative state robustness are formulated. Considering the total velocity cost and the relative state robustness, the multi-objective optimization algorithm of NSGA-II is employed to solve this multi-impulsive rendezvous problem. Lastly, the validity of the objective functions and the covariance results are demonstrated through 100 times Monte Carlo simulation. autonomous rendezvous, relative navigation, close-looped control, multi-objective, robustness Citation:Li J R, Li H Y, Tang G J. Optimal multi-objective trajectory design based on close-looped control for autonomous rendezvous.

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Optimal robust linearized impulsive rendezvous

Cited by 41 publications

References 13 publications

Time and Covariance Threshold Triggered Optimal Uncooperative Rendezvous Using Angles-Only Navigation

Time and Covariance Threshold Triggered Optimal Uncooperative Rendezvous Using Angles-Only Navigation

Optimal multi-objective linearized impulsive rendezvous under uncertainty

Optimal multi-objective trajectory design based on close-looped control for autonomous rendezvous

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