Optimization method capable of realizing spinning-stabilized unfolding of tethered formation by using continuous propeller

A tethered formation and spin stabilization technology, applied in general control systems, instruments, adaptive control, etc., can solve the problems of poor calculation accuracy and many parameters

Active Publication Date: 2019-07-12
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

[0005] Aiming at the nonlinear problem of dynamic coupling and constrained control in the spin-stabilized deployment process of the tethered formation system, there are many parameters to be input and poor calculation accuracy in solving specific nonlinear equations. The technical problem to be solved by the optimization method of the spin-stabilized deployment of the tethered formation system is to use the Lege

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  • Optimization method capable of realizing spinning-stabilized unfolding of tethered formation by using continuous propeller
  • Optimization method capable of realizing spinning-stabilized unfolding of tethered formation by using continuous propeller
  • Optimization method capable of realizing spinning-stabilized unfolding of tethered formation by using continuous propeller

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Embodiment A and example B

[0157] In order to verify the feasibility of a tethered formation spin-stabilized deployment optimization method disclosed in this embodiment, a tethered satellite numerical model is constructed first. The basic parameters of the system are shown in Table 1. For comparison, two typical unfolding situations are considered in the simulation. The first involves tangential and longitudinal thrusters, while the second involves only tangential thrusters. In order to avoid convergence problems caused by inequality constraints, the algorithm of this embodiment iteratively determines the number / width of intervals and the polynomial degree of each interval; thus, the number of nodes and the degree of polynomial are continuously updated until the specified tolerance is met, and Pseudo-linearization propagation is designed if and only if all Legendre Gauss points satisfy |u(k+1)-u(k)|≤10- 3 terminated. The parameters of the two cases are shown in Table 2.

[0158] Table 1 System param...

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Abstract

The invention discloses an optimization method capable of realizing spinning-stabilized unfolding of tethered formation by using a continuous propeller and belongs to the field of spacecraft guidanceand control. The implementation method comprises the steps of defining different reference coordinate systems to describe movement of a tethered formation system and building a dynamical model of thespinning-stabilized tethered formation system by utilizing the Lagrange equation; describing a finite time domain optimal control problem in a real-time domain, then converting the control problem into a Mayer form based on the time domain mapping, giving control input and state variable constraint for the dynamical model of the spinning-stabilized tethered formation system and building an optimalunfolding model of the spinning-stabilized tethered formation system; and scattering the final state of spinning-stabilized unfolding of the tethered formation system and the control input to a series of discrete points by utilizing the Legendre-Gauss discretization method. As numerical solution for the dynamics process of the spinning-stabilized unfolding of the tethered formation system is carried out by using the Gaussian pseudo-spectral method, parameters required to be input can be reduced and the calculation precision is improved.

Description

technical field [0001] The invention relates to an optimization method for realizing the stable deployment of a tethered formation by using a continuous thruster, in particular to a method for finding an open-loop optimal trajectory and guiding a sub-star from an initial position to a final rotation state, belonging to spacecraft guidance and control field. Background technique [0002] The tethered satellite system refers to a spacecraft system composed of two or more satellites connected by a tether. The tethered satellite has broad application prospects in the fields of atmospheric detection, space environment detection, and space debris removal. It can be used as a human A new structure that explores space, acquires resources in the universe, and expands the living space of human beings. For example, the tether is used to release the space detection platform from the main star to the earth's atmosphere, so as to realize the detection of the near-earth atmosphere. Throu...

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Application Information

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IPC IPC(8): G05D1/08G05B13/04
CPCG05B13/04B64G1/244
Inventor 翟光宋国梁张景瑞
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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