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高超声速飞行器预设性能反演控制方法设计

李小兵 赵思源 卜祥伟 何阳光

李小兵, 赵思源, 卜祥伟, 等 . 高超声速飞行器预设性能反演控制方法设计[J]. 北京航空航天大学学报, 2019, 45(4): 650-661. doi: 10.13700/j.bh.1001-5965.2018.0463
引用本文: 李小兵, 赵思源, 卜祥伟, 等 . 高超声速飞行器预设性能反演控制方法设计[J]. 北京航空航天大学学报, 2019, 45(4): 650-661. doi: 10.13700/j.bh.1001-5965.2018.0463
LI Xiaobing, ZHAO Siyuan, BU Xiangwei, et al. Design of prescribed performance backstepping control method for hypersonic flight vehicles[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(4): 650-661. doi: 10.13700/j.bh.1001-5965.2018.0463(in Chinese)
Citation: LI Xiaobing, ZHAO Siyuan, BU Xiangwei, et al. Design of prescribed performance backstepping control method for hypersonic flight vehicles[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(4): 650-661. doi: 10.13700/j.bh.1001-5965.2018.0463(in Chinese)

高超声速飞行器预设性能反演控制方法设计

doi: 10.13700/j.bh.1001-5965.2018.0463
基金项目: 

国家自然科学基金 61603410

详细信息
    作者简介:

    李小兵 男, 教授。主要研究方向:空天拦截器制导控制与仿真

    赵思源 男, 硕士研究生。主要研究方向:空天拦截器制导控制与仿真

    通讯作者:

    李小兵, E-mail: 1098547574@qq.com

  • 中图分类号: V448

Design of prescribed performance backstepping control method for hypersonic flight vehicles

Funds: 

National Natural Science Foundation of China 61603410

More Information
  • 摘要:

    为解决吸气式高超声速飞行器的飞行控制问题,提出了一种新型预设性能神经反演控制器设计方法。通过构造预设性能函数,保证速度跟踪误差和高度跟踪误差能够按照预设的收敛速度、超调量及稳态误差收敛至期望的区域,同时满足系统预设的瞬态性能和稳态精度。在反演控制设计结构下,引入径向基函数(RBF)神经网络对模型未知函数及不确定项进行逼近,提高了控制系统的鲁棒性。引入的RBF神经网络中仅有一个参数需要在线更新,有效提高了控制准确性,避免了通常反演控制方法中经常出现的"微分膨胀问题",并降低了计算量。通过仿真实验验证了所设计控制系统的有效性和可行性。

     

  • 图 1  高超声速飞行器受力示意图

    Figure 1.  Force map of hypersonic flight vehicle

    图 2  参考输入二阶模型结构

    Figure 2.  Second-order model structure of reference input

    图 3  速度跟踪响应

    Figure 3.  Velocity tracking performance response

    图 4  高度跟踪响应

    Figure 4.  Altitude tracking performance response

    图 5  高度角曲线

    Figure 5.  Curves of altitude angle

    图 6  弹性状态

    Figure 6.  Flexible states

    图 7  燃料-空气比

    Figure 7.  Fuel-to-air ratio

    图 8  升降舵偏角

    Figure 8.  Elevator declination

    图 9  转换误差函数

    Figure 9.  Conversion error function

    表  1  高超声速飞行器的状态初值

    Table  1.   Hypersonic flight vehicle state initial value

    参数 数值
    V/(m·s-1) 2 500
    h/m 27 000
    γ/(°) 0
    θ/(°) 1.529 5
    Q/((°)·s-1) 0
    η1 0.285 7
    η2 0.235 0
    下载: 导出CSV
  • [1] 孙长银, 穆朝絮, 余瑶.近空间高超声速飞行器控制的几个科学问题研究[J].自动化学报, 2013, 39(11):1901-1913. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zdhxb201311017

    SUN C Y, MU C X, YU Y.Some control problems for near space hypersonic vehicles[J].Acta Automatica Sinica, 2013, 39(11):1901-1913(in Chinese). http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zdhxb201311017
    [2] 黄琳, 段志生, 杨剑影.近空间高超声速飞行器对控制科学的挑战[J].控制理论与应用, 2011, 28(10):1496-1505. http://www.cnki.com.cn/Article/CJFDTOTAL-KZLY201110027.htm

    HUANG L, DUAN Z S, YANG J Y.The challenge to control science of near space hypersonic vehicles[J].Control Theory and Application, 2011, 28(10):1496-1505(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-KZLY201110027.htm
    [3] SOLOWAY D I, OUZTS P J, WOLPERT D H, et al.The role of guidance, navigation, and control in hypersonic vehicle multidisciplinary design and optimization: AIAA-2009-7329[R].Reston: AIAA, 2009.
    [4] 董朝阳, 路遥, 王青.高超声速飞行器指令滤波反演控制[J].宇航学报, 2016, 37(8):957-963. doi: 10.3873/j.issn.1000-1328.2016.08.008

    DONG Z Y, LU Y, WANG Q.Command filtered backstepping control for hypersonic vehicles[J].Journal of Astronautics, 2016, 37(8):957-963(in Chinese). doi: 10.3873/j.issn.1000-1328.2016.08.008
    [5] FIORENTINI L.Nonlinear adaptive controller design for air-breathing hypersonic vehicles[D].Columbus: The Ohio State University, 2010.
    [6] FIORENTINI L, SERRANI A, BOLENDER M A, et al.Nonlinear robust adaptive control of flexible air-breathing hypersonic vehicles[J].Journal of Guidance, Control, and Dynamics, 2009, 32(2):401-406. doi: 10.2514/1.39210
    [7] BOLENDER M A, DOMAN D B.Nonlinear longitudinal dynamical model of an air-breathing hypersonic vehicle[J].Journal of Spacecraft and Rockets, 2007, 44(2):374-387. doi: 10.2514/1.23370
    [8] PARKER J T, SERRANI A, YURKOVICH S, et al.Control-oriented modeling of an air-breathing hypersonic vehicle[J].Journal of Guidance, Control, and Dynamics, 2007, 30(3):856-869. doi: 10.2514/1.27830
    [9] 李昭莹, 余令艺, 刘昊, 等.高超声速飞行器非线性鲁棒控律设计[J].控制理论与应用, 2016, 33(1):62-69. http://d.old.wanfangdata.com.cn/Periodical/kzllyyy201601008

    LI Z Y, YU L Y, LIU H, et al.Nonlinear robust controller design for hypersonic vehicles[J].Control Theory & Applications, 2016, 33(1):62-69(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/kzllyyy201601008
    [10] XU H J, MIRMIRANI M D, IANNOU P A.Adaptive sliding mode control design for a hypersonic flight vehicle[J].Journal of Guidance, Control, and Dynamics, 2004, 27(5):829-838. doi: 10.2514/1.12596
    [11] 余朝军, 江驹, 甄子洋, 等.高超声速飞行器弹性自适应控制方法[J].哈尔滨工程大学学报, 2018, 39(6):1026-1031. http://d.old.wanfangdata.com.cn/Periodical/hebgcdxxb201806009

    YU C J, JIANG J, ZHEN Z Y, et al.A novel resilient adaptive control scheme for hypersonic vehicles[J].Journal of Harbin Engineering University, 2018, 39(6):1026-1031(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/hebgcdxxb201806009
    [12] ZONG Q, WANG F, SU R, et al.Robust adaptive backstepping tracking control for a flexible air-breathing hypersonic vehicle subject to input constraint[J].Journal of Aerospace Engineering, 2015, 229(1):10-25. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=cdc912adeb267fe3f42925baba615d19
    [13] GAO D X, WANG S X, ZHANG H J. A singularly perturbed system approach to adaptive neural back-stepping control design of hypersonic vehicles[J]. Journal of Intelligent and Robotic Systems, 2014, 73(1):249-259. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=58daf49f46af697bfed46249250799e0
    [14] BIN X.Robust adaptive neural control of flexible hypersonic flight vehicle with dead-zone input nonlinearity[J].Nonlinear Dynamics, 2015, 80(3):1509-1520. doi: 10.1007/s11071-015-1958-8
    [15] BECHLIOULIS C P, ROVITHAKIS G A.Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance[J].IEEE Transactions on Automatic Control, 2008, 53(9):2090-2099. doi: 10.1109/TAC.2008.929402
    [16] BECHLIOULIS C P, ROVITHAKIS G A.Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems[J].Automatica, 2009, 45(2):532-538. doi: 10.1016/j.automatica.2008.08.012
    [17] 王鹏飞, 王洁, 时建明, 等.高超声速飞行器预设性能反演鲁棒控制[J].电机与控制学报, 2017, 21(2):94-102. http://d.old.wanfangdata.com.cn/Periodical/djykzxb201702012

    WANG P F, WANG J, SHI J M, et al.Prescribed performance back-stepping robustness control of a flexible hypersonic vehicle[J].Electric Machines and Control, 2017, 21(2):94-102(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/djykzxb201702012
    [18] 张扬, 吴文海, 胡云安, 等.基于全状态预设性能的受限制令反演控制器设计[J].控制与决策, 2018, 33(3):479-485. http://www.cnki.com.cn/Article/CJFDTotal-KZYC201803012.htm

    ZHANG Y, WU W H, HU Y A, et al.Constrained command backstepping controller design under full state prescribed performance[J].Control and Decision, 2018, 33(3):479-485(in Chinese). http://www.cnki.com.cn/Article/CJFDTotal-KZYC201803012.htm
    [19] 卜祥伟.高超声速飞行器纵向运动非线型控制技术[M].西安:西安电子科技大学出版社, 2018:16-18.

    BU X W.Nonlinear control technology for longitudinal motion of hypersonic vehicles[M].Xi'an:Xidian University Press, 2018:16-18(in Chinese).
    [20] BU X W, WU X Y, HUANG J Q, et al.Minimal-learning-parameter based simplified adaptive neural back-stepping control of flexible air-breathing hypersonic vehicles without virtual controllers[J].Neurocomputing, 2016, 175:816-825. doi: 10.1016/j.neucom.2015.10.116
    [21] 李惠峰.高超声速飞行器制导与控制技术(下)[M].北京:中国宇航出版社, 2012:469-473.

    LI H F.Hypersonic vehicles guidance and control technology(Ⅱ)[M].Beijing:China Aerospace Press, 2012:469-473(in Chinese).
    [22] 唐意东, 李小兵, 夏训辉.高超声速飞行器弱抖振反演滑模控制律设计[J].导弹与航天运载技术, 2014, 17(6):17-30. http://d.old.wanfangdata.com.cn/Periodical/ddyhtyzjs201406005

    TANG Y D, LI X B, XIA X H.Design of weak buffet back stepping sliding mode control law for hypersonic vehicles[J].Missiles and Space Vehicles, 2014, 17(6):17-30(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/ddyhtyzjs201406005
    [23] 高道祥, 孙增圻, 罗熊, 等.基于Back-stepping的高超声速飞行器模糊自适应控制[J].控制理论与应用, 2008, 25(5):805-810. http://cdmd.cnki.com.cn/Article/CDMD-10056-1017131564.htm

    GAO D X, SUN Z Y, LUO X, et al.Fuzzy adaptive control for hypersonic vehicle via Back-stepping method[J].Control Theory and Application, 2008, 25(5):805-810(in Chinese). http://cdmd.cnki.com.cn/Article/CDMD-10056-1017131564.htm
    [24] SANNER R M, SLOTINE J E.Gaussian networks for direct adaptive control[J].IEEE Transactions on Neural Networks, 1992, 3(6):837-863. doi: 10.1109/72.165588
    [25] 胡云安, 耿宝亮, 盖俊峰.初始误差未知的不确定系统预设性能反演控制[J].华中科技大学学报(自然科学版), 2014, 42(8):43-47. http://d.old.wanfangdata.com.cn/Periodical/hzlgdxxb201408009

    HU Y A, GENG B L, GAI J F.Prescribed performance backstepping control for uncertain systems with unknown initial errors[J].Journal of Huazhong University of Science and Technology(Natural Science Edition), 2014, 42(8):43-47(in Chinese). http://d.old.wanfangdata.com.cn/Periodical/hzlgdxxb201408009
    [26] 卜祥伟, 吴晓燕, 马震, 等.基于状态重构的吸气式高超声速飞行器鲁棒反演控制器设计[J].固体火箭技术, 2015, 38(3):314-319. http://www.cnki.com.cn/Article/CJFDTOTAL-GTHJ201503003.htm

    BU X W, WU X Y, MA Z, et al.State-reconstruction-based robust backstepping controller of air-breathing hypersonic vehicles[J].Journal of Solid Rocket Technology, 2015, 38(3):314-319(in Chinese). http://www.cnki.com.cn/Article/CJFDTOTAL-GTHJ201503003.htm
    [27] BU X W, WU X Y, ZHANG R, et al.Tracking differentiator design for the robust backstepping control of a flexible air-breathing hypersonic vehicle[J].Journal of the Franklin Institute, 2015, 352(4):1739-1765. doi: 10.1016/j.jfranklin.2015.01.014
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出版历程
  • 收稿日期:  2018-07-31
  • 录用日期:  2018-10-16
  • 网络出版日期:  2019-04-20

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