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

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...

AI Technical Summary

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 Legendre-Gauss discretization method to discretize the final state and control input of the spin-stable deployment of the tethered formation system on a series of discrete points, through The Gaussian pseudospectral method numerically solves the dynamic process of the spin-stabilized deployment of the tethered formation system, which can reduce the parameters that need to be input and improve the calculation accuracy

Images