advanced
Volume 12 Issue 2
April  2015
Turn off MathJax
Article Contents
Relative Articles
Chao-Fang and Hu Yue Xin. Reentry Trajectory Optimization for Hypersonic Vehicles Using Fuzzy Satisfactory Goal Programming Method. International Journal of Automation and Computing, vol. 12, no. 2, pp. 171-181, 2015. https://doi.org/10.1007/s11633-014-0823-4
Citation: Chao-Fang and Hu Yue Xin. Reentry Trajectory Optimization for Hypersonic Vehicles Using Fuzzy Satisfactory Goal Programming Method. International Journal of Automation and Computing, vol. 12, no. 2, pp. 171-181, 2015. https://doi.org/10.1007/s11633-014-0823-4
shu

Reentry Trajectory Optimization for Hypersonic Vehicles Using Fuzzy Satisfactory Goal Programming Method

doi: 10.1007/s11633-014-0823-4

  • School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China

Funds:

This work was supported by National Natural Science Foundation of China (No. 61074064) and Natural Science Foundation of Tianjin (No. 12JCZDJC30300).

  • Received Date: 2013-09-27
  • Rev Recd Date: 2014-01-21
  • Publish Date: 2015-04-01
    Abstract
  • Constrained reentry trajectory optimization for hypersonic vehicles is a challenging job. In particular, this problem becomes more difficult when several objectives with preemptive priorities are expected for different purposes. In this paper, a fuzzy satisfactory goal programming method is proposed to solve the multi-objective reentry trajectory optimization problem. Firstly, direct collocation approach is used to discretize the reentry trajectory optimal-control problem with nonlinear constraints into nonlinear multi-objective programming problem with preemptive priorities, where attack angles and bank angles at nodes and collocation nodes are selected as control variables. Secondly, the preemptive priorities are transformed into the relaxed order of satisfactory degrees according to the principle that the objective with higher priority has higher satisfactory degree. Then the fuzzy satisfactory goal programming model is proposed. The balance between optimization and priorities is realized by regulating parameter λ, such that the satisfactory reentry trajectory can be acquired. The simulation demonstrates that the proposed method is effective for the multi-objective reentry trajectory optimization of hypersonic vehicles.

     

    • FullText(HTML)
  • loading
    • References(20)
  • [1]
    T. J. Betts. Survey of numerical methods for trajectory op-timization. Journal of Guidance, Control, and Dynamics, vol. 21, no. 2, pp. 193-207, 1998.
    [2]
    E. M. Yong, L. Chen, G. J. Tang. A survey of numerical methods for trajectory optimization of spacecraft. Journal of Astronautics, vol. 29, no. 2, pp. 397-406, 2008.
    [3]
    O. V. Stryk, R. Bulirsch. Direct and indirect methods for trajectory optimization. Annals of Operations Research, vol. 37, no. 1, pp. 357-373, 1992.
    [4]
    X. J. Qu. The application of the multiple shooting algo-rithm to trajectory optimization. Flight Dynamics, vol. 10, no. 1, pp. 13-21, 1992.
    [5]
    A. B. David, T. H. Geoffrey, A. V. Rao. Direct trajectory optimization and costate estimation via an orthogonal col-location method. Journal of Guidance, Control, and Dy-namics, vol. 29, no. 6, pp. 1435-1440, 2006.
    [6]
    L. H. Albert, A. C. Bruce. Direct optimization using collo-cation based on high-order Gauss-Lobatto quadrature rules. Journal of Guidance, Control and Dynamics, vol. 19, no. 3, pp. 592-599, 1996.
    [7]
    G. T. Huntington, A. V. Rao. Optimal reconfiguration of spacecraft formations using the Gauss pseudospectral method. Journal of Guidance, Control, and Dynamics, vol. 31, no. 3, pp. 689-698, 2008.
    [8]
    R. T. Bibeau. Trajectory Optimization for a Fixed Trim Re-entry Vehicle Using Direct Collocation with Nonlinear Programming, Ph. D. dissertation, Massachusetts Institute of Technology, USA, 1999.
    [9]
    L. H. Tu, J. P. Yuan. Reentry skipping trajectory optimiza-tion using direct parameter optimization method. In Pro-ceedings of the 14th AIAA/AHI International Space Planes and Hypersonic Systems Technologies Conference, AIAA, Canberra, Australia, pp. 824-837, 2006.
    [10]
    G. Chen, Y. Hu, M. Xu, Z. M.Wan, S. L. Chen. Implement-ing a multi-objective optimization design of RLV reentry trajectory. Journal of Northwestern Polytechnical Univer-sity, vol. 24, no. 2, pp. 133-137, 2006.
    [11]
    E. M. Yong, L. Chen, G. J. Tang. Trajectory optimization of hypersonic gliding reentry vehicle based on the physi-cal programming. Acta Aeronautica et Astronautica Sinica, vol. 29, no. 5, pp. 1091-1097, 2008.
    [12]
    B. B. Pal, B. N. Moitra. A goal programming procedure for solving problems with multiple fuzzy goals using dy-namic programming. European Journal of Operation Re-search, vol. 144, no. 3, pp. 480-491, 2003.
    [13]
    S. Y. Li, Y. P. Yang. Fuzzy goal programming with mul-tiple priorities via generalized varying-domain optimiza-tion method. IEEE Transactions on Fuzzy Systems, vol. 12, no. 5, pp. 596-605, 2004.
    [14]
    S. Y. Li, C. F. Hu. Two-step interactive satisfactory method for fuzzy multiple objective optimization with preemptive priorities. IEEE Transactions on Fuzzy Systems, vol. 15, no. 3, pp. 417-425, 2007.
    [15]
    A. Charnes, W. W. Cooper. Management models and in-dustrial applications of linear programming. Management Science, vol. 4, no. 1, pp. 38-91, 1957.
    [16]
    L. H. Chen, F. C. Tsai. Fuzzy goal programming with dif-ferent importance and priorities. European Journal of Op-erational Research, vol. 133, no. 3. pp. 548-560, 2001.
    [17]
    B. L. Tian, Q. Zong. Optimal guidance for reentry vehicles based on indirect Legendre pseudospectral method. Acta Astronautica, vol. 68, no. 7-8, pp. 1176-1184, 2011.
    [18]
    L. H. Tu, J. P. Yuan, X. K. Yue, J. J. Luo. Improving de-sign of reentry vehicle trajectory optimization using direct collocation method. Journal of Northwestern Polytechnical University, vol. 24, no. 5, pp. 654-657, 2006.
    [19]
    C. F. Hu, S. Y. Li. Enhanced interactive satisfying opti-mization approach to multiple objective optimization with preemptive priorities. International Journal of Information Technology & Decision Making, vol. 5, no. 1, pp. 47-63, 2006.
    [20]
    C. F. Hu. Research on Fuzzy Multiple Objective Optimiza-tion Based on Decision Maker's Satisfying Degree, Ph. D. dissertation, Shanghai Jiao Tong University, China, 2007.
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML
    Entire Issue PDF

    用微信扫码二维码

    分享至好友和朋友圈

    Article Metrics

    Article views (5144) PDF downloads(2428) Cited by()
    Proportional views
    Related
    Browse MIR
    Published Online Current Issue Special Issue Archive Early Access
    About MIR
    Aims and Scopes Index information Editorial Board Contact Us Springer Page

    For Authors
    Guide for Authors Submission Template Copyright Agreement
    For Referees
    Guide for Referees Referees Acknowledgement

    MIR Event
    MIR News MIR Awards
    WeChat: 机器智能研究MIR
    Twitter: MIR_Journal

    © Institute of Automation, Chinese Academy of Sciences. Published by Springer Nature and Science Press. All rights reserved. 京ICP备14019135号-25

    Supported by Beijing Renhe Information Technology Co. Ltd  support: info@rhhz.net  

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return