In this paper, an optimal sliding mode guidance law with impact angle constraint is proposed against maneuvering targets. Firstly, the impact angle frame for a static target is extended to a maneuvering target. Then, in this impact angle frame, the optimal reaching law of sliding mode is proposed to design an optimal sliding mode guidance law which is robust to target maneuvers and satisfies an impact angle constraint. The optimal sliding mode guidance law with impact angle constraint is also extended to the three-dimensional case. Numerical simulations in different scenarios with a realistic missile model show that the guidance law can intercept a maneuvering target with a desired impact angle, and the control effort is close to the optimal value, which verifies that the proposed optimal sliding mode guidance law has both robustness and optimality.

中文翻译：

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撞击角约束下机动目标最优滑模制导律

本文针对机动目标提出了一种带撞击角约束的最优滑模制导律。首先，将静态目标的撞击角度框架扩展到机动目标。然后，在该撞击角框架下，提出滑模最优趋近律，以设计对目标机动具有鲁棒性并满足撞击角约束的最优滑模制导律。具有撞击角约束的最优滑模制导律也被推广到三维情况。通过真实导弹模型在不同场景下的数值模拟表明，该制导律能够以期望的撞击角度拦截机动目标，且控制效果接近最优值，验证了所提出的最优滑模制导律具有鲁棒性。和最优性。