Guidance law with angular constraints for head-pursuit or head-on engagement
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摘要: 针对逆轨、顺轨拦截模式,提出了带末端约束碰撞角的ACPN(Angle Control Proportional Navigation)、ACRPN(Angle Control Retro-Proportional Navigation)2种轨迹成型制导律.将线性的比例制导(PN)/负比例制导(RPN)作为标称指令,将碰撞角约束作为反馈指令,以相对加速度建立微分方程,得到了ACPN、ACRPN制导律.ACPN使用正比例系数,逆轨拦截目标;ACRPN使用负比例系数,顺轨拦截目标.与现有的研究结果进行仿真对比:ACPN具有耗费控制力少、末加速度小的优势;ACRPN的控制力、脱靶量、碰撞角误差较逆轨拦截优势明显.此外,分析了拦截高速目标的捕获区域.结果表明,ACPN比偏置比例导引的捕获区域大.当拦截弹的航迹角小于π/2+λi时(λi为初始视线角),宜采用ACPN(逆轨模式)拦截目标,拦截弹的航迹角大于等于π/2+λi时,宜采用ACRPN(顺轨模式)拦截目标.Abstract: For head-on or head-pursuit engagement, angle control proportional navigation (ACPN) and angle control retro-proportional navigation (ACRPN) closed-form trajectory shaping guidance law with impact angular constraints were proposed, which were based on proportional navigation (PN) or retro-proportional navigation (RPN) guidance law. ACPN with positive navigation ratio intercepted targets in head-on engagement, whose advantages were using less control efforts and final acceleration. ACRPN with negative navigation ratio intercepted targets in head-pursuit engagement. ACRPN's control efforts, miss distance and impact angle error were much less than that of guidance law in head-on engagement. Simulations demonstrate these claims mentioned above. Besides, the capture regions of ACPN and ACRPN for interception of high-speed targets are analyzed, which indicates that ACPN's capture region is larger than that of bias PN. Moreover, ACPN should be used to intercept targets in head-on engagement when the gimbal angle is less than sum of initial line-of-sight angle and 90°, and ACRPN should be used in head-pursuit engagement for the gimbal angle is equal to or greater than sum of initial line-of-sight angle and 90°.
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