<p>This paper delves into a novel nonsingular predefined-time guidance law with line-of-sight(LOS) angle constraint for an air-to-ground missile. First, a relative kinematics model between missile and target is established. From this model, second-order state equations based on LOS angle and angular velocity are derived. Subsequently, based on a novel predefined-time theorem, a nonsingular sliding mode surface is designed. Moreover, a nonsingular predefined-time guidance law with LOS angle constraint is developed. The stability of the proposed guidance law is rigorously verified using the Lyapunov methodology. Finally, multiple numerical simulation results demonstrate the effectiveness of the proposed guidance law.</p>

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Nonsingular Predefined-Time Guidance Law with Line-of-Sight Angle Constraint for an Air-to-ground Missile

  • Yichen Xie,
  • Liang Zhang,
  • Jinlei Ren,
  • Xuerong Yang,
  • Qinghua Zeng

摘要

This paper delves into a novel nonsingular predefined-time guidance law with line-of-sight(LOS) angle constraint for an air-to-ground missile. First, a relative kinematics model between missile and target is established. From this model, second-order state equations based on LOS angle and angular velocity are derived. Subsequently, based on a novel predefined-time theorem, a nonsingular sliding mode surface is designed. Moreover, a nonsingular predefined-time guidance law with LOS angle constraint is developed. The stability of the proposed guidance law is rigorously verified using the Lyapunov methodology. Finally, multiple numerical simulation results demonstrate the effectiveness of the proposed guidance law.