Highlights The frozen parameter is first used in the eccentric orbit hovering control operation. The performance index of orbital radius, angular velocity and angular acceleration are obtained analytically. The numerical method for calculation of time interval is developed and expressed clearly with the diagram block. The hovering control scheme based on LQR controller is designed in the frozen time interval. It is shown that the proposed approach can save propellant and eliminate chatter during the convergence compared to Control Lyapunov Functions approach.

    Abstract In this paper, we analyze the hovering control operation of a target in an elliptical orbit based on frozen parameter. The relative dynamics of spacecraft in eccentric orbits can be described as linear time-varying systems with periodic parameters. Those periodic parameters are the orbital radius, angular velocity and angular acceleration. The time-varying characteristics of these periodic parameters were analyzed via a performance index which is obtained analytically with small fixed time interval. Then, the frozen time interval was obtained with a fixed performance index using a numerical method. A series of constant coefficient linear systems are then obtained to represent the periodic linear system, namely the relative motion dynamics. In the frozen time interval, the hovering control scheme was designed based on a Linear Quadratic Regulator (LQR). Numerical simulations showed that the hovering control performance is good, except the vicinity near the apogee and perigee, both of which exhibit a relative large performance index. Decreasing the performance index from 0.01 to 0.001 reduces the position errors from 5m to 0.5m during steady state. It is shown that this approach can save propellant and eliminate chatter during the convergence compared to Control Lyapunov Functions (CLF) approach.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Hovering control scheme to elliptical orbit via frozen parameter


    Contributors:
    Zhang, Jingrui (author) / Zhao, Shuge (author) / Zhang, Yao (author) / Zhai, Guang (author)

    Published in:

    Advances in Space Research ; 55 , 1 ; 334-342


    Publication date :

    2014-10-08


    Size :

    9 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





    Characteristic Analysis for Elliptical Orbit Hovering Based on Relative Dynamics

    Jingrui Zhang, / Shuge Zhao, / Yongzhao Yang, | IEEE | 2013


    Practical maintenance strategies for teardrop hovering formation relative to elliptical orbit

    Bai, Shengzhou / Han, Chao / Sun, Xiucong et al. | Elsevier | 2021


    Large elliptical frozen orbit injection method and system

    CHEN XIANG / LI JIAN / BIE SHUYOU et al. | European Patent Office | 2023

    Free access

    Orbit transfer strategy optimization method for orbit injection of large elliptical frozen orbit satellite

    LI JIAN / CHEN XIANG / XIA YONG et al. | European Patent Office | 2023

    Free access