留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

非线性气动弹性系统反演自适应控制

刘送丹 李道春 向锦武

刘送丹, 李道春, 向锦武等 . 非线性气动弹性系统反演自适应控制[J]. 北京航空航天大学学报, 2015, 41(6): 1128-1134. doi: 10.13700/j.bh.1001-5965.2014.0423
引用本文: 刘送丹, 李道春, 向锦武等 . 非线性气动弹性系统反演自适应控制[J]. 北京航空航天大学学报, 2015, 41(6): 1128-1134. doi: 10.13700/j.bh.1001-5965.2014.0423
LIU Songdan, LI Daochun, XIANG Jinwuet al. Adaptive backstepping control of a nonlinear aeroelastic system[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(6): 1128-1134. doi: 10.13700/j.bh.1001-5965.2014.0423(in Chinese)
Citation: LIU Songdan, LI Daochun, XIANG Jinwuet al. Adaptive backstepping control of a nonlinear aeroelastic system[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(6): 1128-1134. doi: 10.13700/j.bh.1001-5965.2014.0423(in Chinese)

非线性气动弹性系统反演自适应控制

doi: 10.13700/j.bh.1001-5965.2014.0423
基金项目: 国家自然科学基金(91216102,11402014); 中央高校基本科研业务费专项资金(YWF-14-HKXY-026)
详细信息
    作者简介:

    刘送丹(1991—),女,湖南常德人,硕士研究生,lsdmm2012@163.com

    通讯作者:

    向锦武(1964—),男,湖南平江人,教授,xiangjw@buaa.edu.cn,主要研究方向为飞机总体设计、结构设计技术.

  • 中图分类号: V215.3

Adaptive backstepping control of a nonlinear aeroelastic system

  • 摘要: 针对双自由度二元机翼,利用准定常气动力建立了非线性气动弹性方程,并以状态空间形式描述.双控制面非线性气动弹性系统中前后缘控制量相互耦合,不能直接应用反演自适应控制方法,为了解决这一问题,新定义了两个等效控制器.考虑俯仰方向立方非线性参数未知,根据Lyapunov稳定性理论设计了反演自适应控制律.通过Runge-Kutta数值方法对气动弹性方程进行求解,验证了控制律的有效性.仿真结果表明:所设计的控制器能够使开环不稳定的气动弹性系统稳定至零点,双控制面的作用提高了颤振临界速度.考虑到实际控制面的偏转限制,研究了单控制面失效问题,结果显示单后缘控制面比单前缘控制面对系统控制更有效.

     

  • [1] 赵永辉, 胡海岩.具有操纵间隙非线性二维翼段的气动弹性分析[J].航空学报, 2003, 24(6):521-525. Zhao Y H, Hu H Y.Aeroelastic analysis of a two dimensional airfoil with control surface freeplay nonlinearity[J].Acta Aeronautica et Astronautica Sinica, 2003, 24(6):521-525(in Chinese).
    [2] Mukho P V.Historical perspective on analysis and control of aeroelastic responses[J].Journal of Guidance, Control and Dynamics, 2003, 26(5):673-684.
    [3] Behal A, Marzocca P, Rao V M, et al.Nonlinear adaptive control of an aeroelastic two-dimensional lifting surface[J].Journal of Guidance, Control, and Dynamics, 2006, 29(2):382-390.
    [4] Lin C M, Chin W L.Adaptive decoupled fuzzy sliding-mode control of a nonlinear aeroelastic system[J].Journal of Guidance, Control, and Dynamics, 2006, 29(1):206-209.
    [5] Platanitis G, Strganac T W.Control of a nonlinear wing section using leading-and trailing-edge surfaces[J].Journal of Guidance, Control, and Dynamics, 2004, 27(1):52-58.
    [6] 李道春, 向锦武.迟滞非线性二元机翼颤振特性分析[J].航空学报, 2007, 28(3):600-604. Li D C, Xiang J W.Aeroelastic analysis of two-dimensional airfoil with hysteresis structural nonlinearity[J].Acta Aeronautica et Astronautica Sinica, 2007, 28(3):600-604(in Chinese).
    [7] 李道春, 向锦武.间隙非线性气动弹性颤振控制[J].北京航空航天大学学报, 2007, 33(6):640-643. Li D C, Xiang J W.Flutter control of aeroelasticity with freeplay nonlinearity[J].Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(6):640-643(in Chinese).
    [8] Kurdila A J, Akella M R.Nonlinear control methods for high-energy limit-cycle oscillations[J].Journal of Guidance, Control, and Dynamics, 2001, 24(1):185-192.
    [9] Ali I, Radice G, Kim J.Backstepping control design with actuator torque bound for spacecraft attitude maneuver[J].Journal of Guidance, Control, and Dynamics, 2010, 33(1):254-259.
    [10] Kristiansen R, Nicklasson P J, Gravdahl J T.Satellite attitude control by quaternion-based backstepping[J].IEEE Transactions on Control Systems Technology, 2009, 17(1):227-232.
    [11] 董文瀚, 孙秀霞, 林岩.反推自适应控制的发展及应用[J].控制与决策, 2006, 21(10):1081-1084. Dong W H, Sun X X, Lin Y.Adaptive backstepping control:Development and applications[J].Control and Decision, 2006, 21(10):1081-1084(in Chinese).
    [12] 杨绍普, 曹庆杰, 张伟.非线性动力学与控制的若干理论及应用[M].北京:科学出版社, 2011:304-309. Yang S P, Cao Q J, Zhang W.Nonlinear dynamics and control:Theory and application[M].Beijing:Science Press, 2011:304-309(in Chinese).
    [13] Ola H, Torkel G.Vector backstepping design for flight control[C]//Proceedings of AIAA Guidance, Navigation and Control Conference and Exhibit.Reston:AIAA, 2007, 2:1107-1116.
    [14] 涂再云, 陆阿坤, 杜军, 等.高超声速飞行器动态神经网络反推自适应控制[J].航天控制, 2013, 31(4):78. Tu Z Y, Lu A K, Du J, et al.Dynamic neural network adaptive backstepping control for hypersonic aircraft[J].Aerospace Control, 2013, 31(4):78(in Chinese).
    [15] 董文瀚, 孙秀霞, 林岩.超机动飞行的非线性反推自适应控制[J].飞行力学, 2007, 25(2):39. Dong W H, Sun X X, Lin Y.Nonlinear backstepping adaptive control of supermanuverable flight[J].Flight Dynamics, 2007, 25(2):39(in Chinese).
    [16] Chen C L, Peng C C, Yau H T.High-order sliding mode controller with backstepping design for aeroelastic systems[J].Communications in Nonlinear Science and Numerical Simulation, 2012, 17(4):1813-1823.
    [17] Ran M P, Wang Q, Hou D L, et al.Backstepping design of missile guidance and control based on adaptive fuzzy sliding mode control[J].Chinese Journal of Aeronautics, 2014, 27(3):634-642.
    [18] Li M D, Jing W X, Macdonald M, et al.Adaptive backstepping control for optimal descent with embedded autonomy[J].Aerospace Science and Technology, 2011, 15(7):589-594.
    [19] Wu X Q, Lu J A.Adaptive control of uncertain Lü system[J].Chaos, Solitons and Fractals, 2004, 22(2):375-381.
    [20] Gao S S, Zhong Y M, Li W.Robust adaptive control for a class of chaotic system using backstepping[J].Aerospace Science and Technology, 2011, 15(6):425-430.
    [21] Peng C C, Chen C L.Robust chaotic control of Lorenz system by backstepping design[J].Chaos, Solitons and Fractals, 2008, 37(2):598-608.
    [22] Ha C S, Zuo Z Y, Choi F B, et al.Passivity-based adaptive backstepping control of quadrotor-type UAVs[J].Robotics and Autonomous Systems, 2014, 62(9):1305-1315.
    [23] 李道春, 向锦武.非线性气动弹性模型参考自适应控制[J].航空学报, 2008, 29(2):280-283. Li D C, Xiang J W.Model reference adaptive control of nonlinearity aeroelasticity[J].Acta Aeronautica et Astronautica Sinica, 2008, 29(2):280-283(in Chinese).
  • 加载中
计量
  • 文章访问数:  822
  • HTML全文浏览量:  2
  • PDF下载量:  514
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-07-17
  • 刊出日期:  2015-06-20

目录

    /

    返回文章
    返回
    常见问答