Newton-Kantorovich/Radau pseudospectral solution to rigid spacecraft time-optimal three-axis reorientation

Lan, Jing; Li, Jing

doi:10.1016/j.asr.2020.02.023

Cited by 5 publications

(3 citation statements)

References 25 publications

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“…More recently, this application has been further extended to consider threeaxis rigid-bodies and the minimum-time reorientation of asymmetric rigid bodies as shown in Refs. [7,8,9].…”

Section: Introductionmentioning

confidence: 99%

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Minimum-Time Reorientation of Axisymmetric Rigid Spacecraft Using Three Controls

Pager¹,

Rao²

2022

Preprint

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A minimum-time reorientation of an axisymmetric rigid spacecraft controlled by three torques is studied. The orientation of the body is modeled such that the attitude kinematics are representative of a spin-stabilized spacecraft. The optimal control problem considered is shown to have a switching control structure. Moreover, under certain assumptions, the solutions contain segments that lie on a singular arc. A numerical optimization study is performed using a recently developed method that is designed to accurately solve bang-bang and singular optimal control problems. The optimality conditions for the resulting optimal control problem are derived and analyzed for a variety of cases. Also, the results obtained in this study are compared to a previous method existing in the literature. The key features of the optimized trajectories and controls are identified, and the aforementioned method for solving bangbang and singular optimal control problems is shown to efficiently and accurately solve the problem under consideration.

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“…More recently, this application has been further extended to consider threeaxis rigid-bodies and the minimum-time reorientation of asymmetric rigid bodies as shown in Refs. [7,8,9].…”

Section: Introductionmentioning

confidence: 99%

“…In particular, Refs. [7,8,9] assume singular arcs are not possible in the solutions and therefore such behavior is not considered in the analysis.…”

Section: Introductionmentioning

confidence: 99%

Minimum-Time Reorientation of Axisymmetric Rigid Spacecraft Using Three Controls

Pager¹,

Rao²

2022

Preprint

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show abstract

“…The continuation method is a method to solve a difficult problem by iteratively deforming the problem continuously with a continuation parameter, and various methods have been proposed [6][7][8][9]. The idea of the method is to find a solution in a stable way by using the solution before deformation as an initial guess of the current solution after deformation.…”

Section: Introductionmentioning

confidence: 99%

Locally deforming continuation method based on a shooting method for a class of optimal control problems

Hamada

Maruta

Fujimoto

et al. 2021

SICE Journal of Control, Measurement, and System Integration

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This paper proposes a new continuation method for solving optimal control problems. The proposed method is based on a shooting method. In the proposed method, a cost function of an optimal control problem is locally deformed to find the solution of the problem in a stable way. This paper also analyses a relationship between the variation of the continuation parameter and the proximity of the solutions before and after a deformation in the proposed method.The obtained relation provides guidance on how to deform the continuation parameter. The effectiveness of this method is confirmed through numerical examples.

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Multi-Phase Trajectory Optimization for Alpine Skiers Using an Improved Retractable Body Model

Cai,

Yao

2024

J Optim Theory Appl

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Newton-Kantorovich/Radau pseudospectral solution to rigid spacecraft time-optimal three-axis reorientation

Cited by 5 publications

References 25 publications

Minimum-Time Reorientation of Axisymmetric Rigid Spacecraft Using Three Controls

Minimum-Time Reorientation of Axisymmetric Rigid Spacecraft Using Three Controls

Locally deforming continuation method based on a shooting method for a class of optimal control problems

Multi-Phase Trajectory Optimization for Alpine Skiers Using an Improved Retractable Body Model

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