基于有限时间小超调预设性能控制的三维滑模末制导律设计  

Design of Three Dimensional Sliding Mode Terminal Guidance Law Based on Finite-Time and Small-Overshoot Prescribed Performance Control

作　　者：李旭 叶继坤 邵雷[2] 唐骁 Li Xu;Ye Jikun;Shao Lei;Tang Xiao(Graduate School,Air Force Engineering University,Xi’an 710051,China;Air and Missile Defense College,Air Force Engineering University,Xi’an 710051,China)

机构地区：[1]空军工程大学研究生院,西安710051 [2]空军工程大学防空反导学院,西安710051

出　　处：《航空兵器》2023年第2期99-107,共9页Aero Weaponry

基　　金：国家自然科学基金项目(62173339)。

摘　　要：为了实现对高速机动目标的特定攻击角拦截,本文结合控制领域的新型控制方法——有限时间小超调预设性能控制设计了新型三维滑模末制导律。为了确保视线角和视线角速率能够在有限时间内收敛至期望值,通过视线角偏差和视线角速率偏差构建了线性滑模面;在趋近律设计上,基于有限时间小超调预设性能控制分别设计了视线偏航平面和视线俯仰平面的制导指令,保证跟踪误差可以按预设的收敛时间收敛,并且超调量约束在较小范围内,同时引入非线性有限时间观测器对制导指令中包含的目标加速度项进行估计,进一步提高了制导精度。通过仿真可知,本文制导律可以实现不同拦截条件下对目标的特定攻击角拦截,与现有的快速终端滑模制导律相比,可以保证滑模变量在有限时间内小超调收敛,同时实现特定角度打击,拦截机动目标时脱靶量可以控制在1 m以下,提升了系统的稳态性能和瞬态性能。In order to intercept a high-speed maneuvering target at a specific attack angle,a three dimensional sliding mode terminal guidance law is designed based on finite-time and small-overshoot prescribed performance control,which is a new method in control field.The linear sliding surface is designed based on the angle of sight deviation and angle of sight rate deviation to ensure that the angle of sight and angle of sight rate converge to the expected value in finite time.On reaching law design,guidance instructions for the yaw plane and pitch plane are designed respectively based on the finite-time and small-overshoot prescribed performance control,ensuring that the tracking error can converge at a preset convergence time and the overshoot is constrained to a small range.At the same time,the nonlinear finite-time observer is introduced to estimate the target acceleration term in the guidance instruction to further improve the guidance accuracy.The simulation results show that the proposed guidance law can intercept targets at specific attack angle under different interception conditions.Compared with the existing fast terminal sliding mode guidance law,the proposed guidance law can guarantee the small-overshoot convergence of sliding mode variables in finite time,and can strike the target form the specific angle.When intercepting maneuvering targets,the miss distance can be controlled below 1 m,improving the steady-state performance and transient performance of the system.

关 键 词：预设性能控制 有限时间小超调 滑模控制 三维末制导律 攻击角约束 机动目标 拦截弹 

分 类 号：TJ765[兵器科学与技术—武器系统与运用工程]