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高超声速飞行器指定时间时变高增益反馈跟踪控制

张康康 周彬 蔡光斌 侯明哲

张康康, 周彬, 蔡光斌, 侯明哲. 高超声速飞行器指定时间时变高增益反馈跟踪控制. 自动化学报, 2022, 45(x): 1001−1009 doi: 10.16383/j.aas.c210895
引用本文: 张康康, 周彬, 蔡光斌, 侯明哲. 高超声速飞行器指定时间时变高增益反馈跟踪控制. 自动化学报, 2022, 45(x): 1001−1009 doi: 10.16383/j.aas.c210895
Zhang Kang-Kang, Zhou Bin, Cai Guang-Bin, Hou Ming-Zhe. Prescribed-time tracking control of hypersonic vehicles by time-varying high-gain feedback. Acta Automatica Sinica, 2022, 45(x): 1001−1009 doi: 10.16383/j.aas.c210895
Citation: Zhang Kang-Kang, Zhou Bin, Cai Guang-Bin, Hou Ming-Zhe. Prescribed-time tracking control of hypersonic vehicles by time-varying high-gain feedback. Acta Automatica Sinica, 2022, 45(x): 1001−1009 doi: 10.16383/j.aas.c210895

高超声速飞行器指定时间时变高增益反馈跟踪控制

doi: 10.16383/j.aas.c210895
基金项目: 国家杰出青年科学基金(62125303), 国家自然科学基金委基础科学中心项目(62188101), 国家自然科学基金(61773387、62073096)资助
详细信息
    作者简介:

    张康康:哈尔滨工业大学控制科学与工程博士研究生.主要研究方向为有限时间控制, 非线性控制和飞行器控制. E-mail: kangkang_kkz@163.com

    周彬:哈尔滨工业大学教授. 主要研究方向为约束控制, 时滞系统, 时变系统, 非线性控制, 多智能体系统和飞行器控制. 曾获全国优秀博士学位论文奖和国家杰出青年科学基金资助. 目前担任Automatica等杂志的编委. 本文通信作者. E-mail: binzhoulee@163.com; binzhoulee@163.com

    蔡光斌:博士, 火箭军工程大学导弹工程学院副教授, 陕西省优秀博士学位论文获得者, 主要从事新型飞行器制导与控制、快速轨迹优化、智能控制理论及应用等领域的科研学术工作. E-mail: cgb0712@163.com

    侯明哲:2011年获哈尔滨工业大学控制科学与工程博士学位, 现为哈尔滨工业大学副教授, 中国自动化学会会员, 《美国数学评论》评论员. 其研究兴趣为非线性控制和飞行器控制, 发表期刊论文40余篇和出版专著一部. E-mail: hithyt@hit.edu.cn

Prescribed-time Tracking Control of Hypersonic Vehicles by Time-varying High-gain Feedback

Funds: Supported by National Science Fund for Distinguished Young Scholars (62125303), the Science Center Program of National Natural Science Foundation of China (62188101), National Natural Science Foundation of China (61773387、62073096)
More Information
    Author Bio:

    ZHANG Kang-Kang Ph. D. candidate from the Department of Control Science and Engineering at the Harbin Institute of Technology, Harbin, China. His research interest covers finite-time control, nonlinear control and aircraft control

    ZHOU Bin Professor at Harbin Institute of Technology. His current research interests include constrained control, time-delay systems, time-varying systems, nonlinear control, multi-agent systems, and aircraft control. He received the ``National Excellent Doctoral Dissertation Award" in 2012 from the Academic Degrees Committee of the State Council and the Ministry of Education of P.R. China and is supported by the National Science Fund for Distinguished Young Scholars. He is currently an Associate Editor of Automatica. Corresponding author of this paper

    CAI Guang-Bin received his Ph.D. degree in Control Science and Engineering in 2012 from Rocket Force University of Engineering, and got the reward-gainer of the excellent doctor degree dissertation in Shaanxi Province, China. He is an Associate Professor at College of Missile Engineering, Rocket Force University of Engineering. His main research interests include guidance and control theory and its applications of aircrafts

    HOU Ming-Zhe received his Doctor's degrees in control science and engineering from Harbin Institute of Technology in 2011. He is now an Associate Professor at Harbin Institute of Technology, a member of Chinese Association of Automation, and a reviewer for American Mathematical Review. His research interests include nonlinear control and aircraft control, and he has published over 40 journal papers and a monograph

  • 摘要: 研究了高超声速飞行器控制通道存在未知环境干扰时的指定时间跟踪控制问题. 基于高超声速飞行器的输入输出线性化模型, 借助参量 Lyapunov方程的一些性质, 设计一种光滑、有界的时变高增益控制律. 相比于现有的高超声速飞行器有限/固定时间控制方法, 该算法不会出现抖振现象, 同时收敛时间不依赖于初始状态且可以事先设定. 当高超声速飞行器存在未知的有界环境匹配干扰时, 该控制器能使高度和速度在指定时间跟踪上参考信号. 最后仿真结果验证了方法的有效性.
  • 图  1  速度、飞行航迹角、高度和攻角变化曲线

    Fig.  1  The curves of velocity, flight path angle, altitude and angle of attack

    图  2  俯仰角速率、发动机节流阀开度及其导数变化曲线

    Fig.  2  The curves of pitch rate, engine throttle setting and their time-derivative

    图  3  控制输入和推力变化曲线

    Fig.  3  The curves of control input and thrust

    图  4  速度误差及其导数变化曲线

    Fig.  4  The curves of velocity errors and their time-derivatives

    图  5  高度误差及其导数变化曲线

    Fig.  5  The curves of altitude errors and their time-derivatives

    表  1  飞行器参数以及飞行环境参数

    Table  1  The parameters of the hypersonic aircraft and the flight environment

    模型参数 符号
    质量 $m$ 9 375 slugs
    地球半径 $ R_{e}$ 20 903 500 ft
    参考面积 $S$ 3 603 ft$^{\rm{2}}$
    平均气动弦长 $\bar{c}$ 80
    升降副翼弦长 $ c_{e} $ 0.0292
    绕$ y $轴的转动惯量 $ I_{yy} $$ 7 \times 10 ^{\rm{6}}$ slugs ft $^{\rm{2}}$
    空气密度 $\rho$ $2.4325 \times 10 ^{\rm{-5}}$ slugs/ft $^{\rm{3}}$
    重力常数 $\mu $ $1.39 \times 10 ^{\rm{16}} $ ft $^{\rm{3}}/ \text{s} ^{\rm{2}} $
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  • 收稿日期:  2021-01-15
  • 录用日期:  2022-03-01
  • 网络出版日期:  2022-05-06

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