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Nonsingular Continuous Finite-Time Convergent Guidance Law with Impact Angle Constraints

机译：具有冲击角约束的非奇异连续有限时间收敛制导律

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摘要

This paper documents a novel nonsingular continuous guidance which can drive the line-of-sight (LOS) angular rate to converge to zero in finite time in the presence of impact angle constraints. More specifically, based on the second-order sliding mode control (SMC) theory, a second-order observer (2-OB) is presented to estimate the unknown target maneuvers, while a super twisting algorithm- (STA-) based guidance law is presented to restrict the LOS angle and angular rate. Compared with other terminal sliding mode guidance laws, the proposed guidance law absorbs the merits of the conventional linear sliding mode (LSM) and terminal sliding mode (TSM) and uses switching technique to avoid singularity. In order to verify the stability of the proposed guidance law, a finite-time bounded (FTB) function is invited to prove the boundedness of the proposed observer-controller system and a Lyapunov approach is presented to prove the finite-time convergence (FTC) of the proposed sliding system. Rigorous theoretical analysis and numerical simulations demonstrate the mentioned properties.
机译：本文介绍了一种新颖的非奇异连续制导，它可以在存在碰撞角度约束的情况下，在有限的时间内驱动视线角速率（LOS）收敛至零。更具体地说，基于二阶滑模控制（SMC）理论，提出了一种二阶观测器（2-OB）来估计未知目标机动，而基于超扭曲算法（STA）的制导律是提出来限制LOS角度和角速度。与其他终端滑模制导律相比，本文提出的制导律吸收了传统线性滑模（LSM）和终端滑模（TSM）的优点，并采用切换技术避免了奇异性。为了验证所提出的制导律的稳定性，邀请了有限时间有界（FTB）函数来证明所提出的观察者-控制器系统的有界性，并提出了一种Lyapunov方法来证明有限时间收敛（FTC）建议的滑动系统。严格的理论分析和数值模拟证明了上述特性。

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  • 来源
    《International journal of aerospace engineering》 |2019年第2期|6024240.1-6024240.13|共13页
  • 作者

    Zang Luyao; Lin Defu; Ji Yi;

  • 作者单位

    Beijing Inst Technol, Sch Aerosp Engn, 5th Zhongguancun South St, Beijing 100081, Peoples R China|Beijing Inst Technol, Beijing Key Lab UAV Autonomous Control, 5th Zhongguancun South St, Beijing 100081, Peoples R China;

    Beijing Inst Technol, Sch Aerosp Engn, 5th Zhongguancun South St, Beijing 100081, Peoples R China|Beijing Inst Technol, Beijing Key Lab UAV Autonomous Control, 5th Zhongguancun South St, Beijing 100081, Peoples R China;

    Beijing Inst Technol, Sch Aerosp Engn, 5th Zhongguancun South St, Beijing 100081, Peoples R China|Beijing Inst Technol, Beijing Key Lab UAV Autonomous Control, 5th Zhongguancun South St, Beijing 100081, Peoples R China;

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