Purpose

This paper aims to investigate a novel impact time control guidance (ITCG) law based on the sliding mode control (SMC) for a nonmaneuvering target using the predicted interception point (PIP).

Design/methodology/approach

To intercept the target with the minimal miss distance and desired impact time, an estimation of time-to-go is introduced. This estimation results in a precise impact time for multimissiles salvo attack the target at the same time. Even for a large lead angle, the desired impact time is achieved by using the sliding mode and Lyapunov stability theory. The singularity issue of the proposed impact time guidance laws is also analyzed to achieve an arbitrary lead angle with the desired impact time.

Findings

Numerical scenarios with desired impact time are presented to illustrate the performance of the proposed ITCG law. Comparison with the state-of-art impact time guidance laws proves that the guidance law in this paper can enable the missile to intercept the target with minimal miss distance and final impact time error. This method enables multiple missiles to attack the target simultaneously with different distances and arbitrary lead angles.

Originality/value

An ITCG law based on sliding mode and Lyapunov stability theory is proposed, and the switching surface is designed based on a novel estimation time-to-go for the missile to intercept the target with minimal miss distance. To intercept the target with initial arbitrary lead angles and desired impact time, the authors analysis the singular issue in SMC to ensure that the missile can intercept the target with arbitrary lead angle. The proposed approach for a nonmaneuvering target using the PIP has simple forms, and therefore, they have the superiority of being implemented easily.

中文翻译：

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使用滑模控制的任意超前角的冲击时间引导律

目的

本文旨在研究一种基于滑模控制（SMC）的新型撞击时间控制制导（ITCG）法则，用于使用预测拦截点（PIP）的非机动目标。

设计/方法论/途径

为了以最小的脱靶距离和期望的撞击时间拦截目标，引入了剩余时间的估计。这种估计可以得出多枚导弹同时齐射攻击目标的精确撞击时间。即使对于大的超前角，也可以通过使用滑模和李雅普诺夫稳定性理论来实现所需的冲击时间。还分析了所提出的撞击时间引导定律的奇点问题，以实现具有所需撞击时间的任意超前角。

发现

提出了具有所需影响时间的数值情景，以说明拟议的 ITCG 法律的性能。与现有的撞击时间制导律的比较证明，本文的制导律可以使导弹以最小的脱靶距离和最终撞击时间误差拦截目标。该方法可以实现多枚导弹以不同距离、任意超前角同时攻击目标。

原创性/价值

提出了基于滑模和李亚普诺夫稳定性理论的ITCG定律，并基于一种新颖的导弹以最小脱靶距离拦截目标的剩余时间估计设计了切换面。为了以任意初始超前角和期望的撞击时间拦截目标，作者分析了SMC中的奇异问题，以确保导弹能够以任意超前角拦截目标。所提出的使用 PIP 的非机动目标方法具有简单的形式，因此具有易于实现的优点。