In this paper, a novel observability analysis method of a nonlinear navigation system is proposed, and its application to the optimization of beacon configuration for Mars entry navigation is demonstrated. A Lie algebra-based approach to nonlinear observability is used to compute the observability matrix. The quadratic approximation to the Lie derivatives is then used to recursively calculate the observability matrix efficiently. Next, the inverse of the condition number of the observability matrix is chosen as a metric to evaluate the observability quality. To verify the accuracy and effectiveness of the proposed approach, Mars navigation scenarios with ranging measurements from multiple ground-based beacons are considered in simulation examples, and the optimal beacon configurations are obtained using a genetic algorithm. The extended Kalman filter is finally used to demonstrate the navigation performance. It is concluded that the proposed observability analysis method is able to optimize the beacon configuration of the Mars entry navigation system accurately and efficiently. For Mars entry navigation using ground-based beacons, the geometric configuration of the entry vehicle and beacons is a main contributor to the observability. A diminishing return of observability is obtained solely by adding beacon numbers.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Observability-Based Beacon Configuration Optimization for Mars Entry Navigation


    Contributors:

    Published in:

    Publication date :

    2014-02-19


    Size :

    8 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





    Observability analysis of Mars entry integrated navigation

    Wang, Liansheng | Online Contents | 2015


    Observability analysis of Mars entry integrated navigation

    Wang, Liansheng / Xia, Yuanqing | Elsevier | 2015


    On the observability of Mars entry navigation using radiometric measurements

    Yu, Zhengshi / Cui, Pingyuan / Zhu, Shengying | Elsevier | 2014