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一类反馈型非线性系统的跟踪控制

虞江航 徐军 黄雨可

虞江航, 徐军, 黄雨可等 . 一类反馈型非线性系统的跟踪控制[J]. 北京航空航天大学学报, 2019, 45(7): 1444-1450. doi: 10.13700/j.bh.1001-5965.2018.0688
引用本文: 虞江航, 徐军, 黄雨可等 . 一类反馈型非线性系统的跟踪控制[J]. 北京航空航天大学学报, 2019, 45(7): 1444-1450. doi: 10.13700/j.bh.1001-5965.2018.0688
YU Jianghang, XU Jun, HUANG Yukeet al. Tracking control for a class of nonlinear systems in feedback form[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(7): 1444-1450. doi: 10.13700/j.bh.1001-5965.2018.0688(in Chinese)
Citation: YU Jianghang, XU Jun, HUANG Yukeet al. Tracking control for a class of nonlinear systems in feedback form[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(7): 1444-1450. doi: 10.13700/j.bh.1001-5965.2018.0688(in Chinese)

一类反馈型非线性系统的跟踪控制

doi: 10.13700/j.bh.1001-5965.2018.0688
详细信息
    作者简介:

    虞江航  男, 硕士研究生。主要研究方向:飞行动力学与控制

    徐军  男, 博士, 副教授。主要研究方向:飞行动力学与控制、非线性微分几何控制、飞行控制系统原型技术

    黄雨可  男, 硕士研究生。主要研究方向:飞行器总体设计

    通讯作者:

    徐军, E-mail: xujun2324@x263.net

  • 中图分类号: TP273

Tracking control for a class of nonlinear systems in feedback form

More Information
  • 摘要:

    为了完成对一类反馈型非线性系统的控制,研究了该类非线性系统。首先,根据LaSalle不变性原理论证了一类自治系统收敛的引理。然后,引入误差函数,通过误差函数的Lyapunov函数寻找使得误差函数渐近稳定的控制器,再根据引理得出系统状态所跟踪的轨迹全部收敛,从而使得系统状态均有界,系统的输出趋于输入;论述了控制器使系统状态稳定的条件,给出了闭环系统稳定性的证明。最后,给出了一个固定翼飞机纵向运动飞行控制系统的算例,并且按照所提的方法设计了控制器,在MATLAB的Simulink模块下进行了仿真验证。结果表明,对于阶跃信号和正弦信号,所提出的控制方法能够使得飞机俯仰角快速收敛跟踪指令。

     

  • 图 1  阶跃信号下俯仰角变化曲线

    Figure 1.  Pitch angle change curve under step signal

    图 2  阶跃信号下系统状态变化曲线

    Figure 2.  System states change curves under step signal

    图 3  正弦信号下俯仰角变化曲线

    Figure 3.  Pitch angle change curve under sinusoidal signal

    图 4  正弦信号下系统状态变化曲线

    Figure 4.  System states change curves under sinusoidal signal

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出版历程
  • 收稿日期:  2018-11-22
  • 录用日期:  2019-02-16
  • 网络出版日期:  2019-07-20

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