Formation Control Design for the Halo Orbit Spoke-wheel Configuration Based on Floquet Theory
To fulfill the future requirement for deep space exploration through the utilization of libration point spacecraft formations,the dynamics and associated control matters of spacecraft formations featuring a distinctive directional spoke-wheel configuration on the Sun-Earth L2 libration point Halo orbit are examined in this work.Firstly,the mathematical representations for the relative dynamics of the Circular Restricted Three-Body Problem(CRTBP)and the spoke-wheel configuration formation model are formulated.Secondly,founded on Floquet theory and Fourier series expansion,analytical solutions for the relative motion of Halo orbits are deduced,which are applicable to other marginally perturbed periodic time-varying systems.Subsequently,aiming at deep space exploration missions,hierarchical control strategies for the formation's leader(chief)and followers(deputies)are proposed by employing the Floquet mode method and LQR control method.Finally,simulations of the control strategies are carried out,along with a detailed analysis of the patterns of control forces in maintaining the spoke-wheel configuration.The relationship between configuration parameters(radius and frequency)and the cost of maintenance is acquired.
Deep space explorationHalo orbitFormation controlFloquet modeAnalytical solution
NETL
NSTL
万方数据
