基于连续2阶滑模的带碰撞角约束制导律设计

doi:10.3969/j.issn.1000-1093.2018.12.013

摘要/Abstract

摘要： 针对导弹拦截移动目标的要求，将滑模干扰观测器和一种新颖的连续2阶滑模方法相结合，设计了一种满足碰撞角约束的鲁棒性制导律。将目标加速度视为干扰项，基于超扭曲算法设计2阶滑模干扰器对其进行估计；不同于广泛使用的边界层方法，该方法可以在满足控制精度的前提下有效地避免抖振问题。通过使用Lyapunuov稳态标准，给出了该闭环制导系统有限时间内稳定的严格证明。理论分析和数值仿真结果表明，所提出的方法可以满足大范围碰撞角的约束，并能取得较高的目标拦截精度。

关键词: 导弹末制导, 滑模干扰观测器, 连续2阶滑模, 抖振问题, Lyapunuov稳态标准

Abstract: A new guidance law is designed by combining a sliding mode disturbance observer with a novel continuous second-order sliding mode, in which maneuvering target can be intercepted with demanded impact angle. A sliding mode disturbance observer based on the super-twisting algorithm is designed to estimate an unknown target acceleration. Unlike traditional boundary layer control technique, the proposed method avoids the chattering problem while meeting the control precision. The stability of closed-loop guidance system within a finite time is demonstrated based on Lyapunov stability criterion. Theoretical analysis and numerical simulation show that the proposed method can be used to intercept a maneuvering target, and a wide range of impact angle constraint is achieved. Key

Key words: missileterminalguidance, slidingmodedisturbanceobserver, continuoussecond-orderslidingmode, chatteringproblem, Lyapunuovstabilitycriterion

中图分类号:

TJ765.3⁺1

张文广，易文俊，管军，袁丹丹. 基于连续2阶滑模的带碰撞角约束制导律设计[J]. 兵工学报, 2018, 39(12): 2389-2398.

ZHANG Wen-guang, YI Wen-jun, GUAN Jun, YUAN Dan-dan. Guidance Law with Impact Angle Constraint Based on Continuous Second-order Sliding Mode[J]. Acta Armamentarii, 2018, 39(12): 2389-2398.

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第39卷第12期
2018 年12月兵工学报ACTA
ARMAMENTARIIVol.39No.12Dec. 2018