基于滑模变结构制导律的捕获区分析

Analysis of capture region based on sliding mode variable structure guidance law

针对拦截弹的中末制导交接班条件设置问题,分析了以滑模变结构制导律为末制导律的捕获区。首先,结合临近空间作战背景建立末制导段弹目相对运动模型。其次,基于滑模变结构控制理论设计了一种能够保证拦截末端过载收敛且性能优良的滑模变结构制导律作为末制导律,并对其稳定性进行分析。然后,分析了零控拦截条件并对滑模变结构制导律的捕获区进行理论推导、分析与证明,得到了滑模变结构制导律的捕获区边界。最后,通过设计4种情形下的仿真实验,验证了本文捕获区分析的正确性。

Aiming at the condition setting problem of interceptor’s mid-terminal guidance succession,the capture region with sliding mode variable structure guidance law as terminal guidance law is analyzed.Firstly,the relative motion model of missile in terminal guidance section is established based on the background of near space combat.Secondly,based on the sliding mode variable structure control theory,a sliding mode variable structure guidance law which can ensure the interception terminal overload convergent and has good performance is designed as the terminal guidance law,and its stability is analyzed.Thirdly,the condition of zero control interception is analyzed,and the capture region of sliding mode variable structure guidance law is deduced,analyzed and proved theoretically,and the boundary of the capture region is obtained.Finally,simulation experiments under four scenarios are designed to verify the correctness region analysis in the paper.