考虑零控交班视窗角约束的拦截中制导设计  

Design of Interception Midcourse Guidance with Zero Effort Handover Visual Angle Constraint

作　　者：谭一廷 荆武兴[1] 高长生[1] TAN Yi-ting;JING Wu-xing;GAO Chang-sheng(Department of Aerospace Engineering,Harbin Institute of Technology,Harbin 150001,China)

机构地区：[1]哈尔滨工业大学航天工程系,哈尔滨150001

出　　处：《宇航学报》2021年第10期1257-1270,共14页Journal of Astronautics

基　　金：国家自然科学基金(12072090)。

摘　　要：针对临近空间防御作战问题,提出了一种考虑零控拦截和交班视窗角约束的中制导算法。首先基于零引力差假设分析了中末交班零控拦截条件,利用该条件可将零控拦截和交班视窗角约束向终端状态约束进行转化,为多约束中制导设计提供了更简便的思路;通过引入低维权重矩阵及控制量的谱表达式,推导了一种时间固定下的广义拟谱模型预测静态规划算法,并结合Legendre伪谱法和自适应Gauss-Lobatto积分,提高了算法计算效率,最后将其用于本文中制导设计。仿真结果表明:本文设计的中制导算法能满足零控交班约束,所需控制成本较小,制导精度和计算效率较高,且通过Monte Carlo打靶分析,在满足实时性要求前提下,对初始状态扰动和参数摄动情况仍具有较强鲁棒性。A midcourse guidance algorithm considering zero effort interception and angle of sight constraints is proposed to solve the problem of near space defense.Firstly,based on the zero-gravity difference model,the zero-effort interception condition of mid-terminal shift is analyzed,which can be used to transform the endpoint constraint.It provides a simpler idea for multi-constraint midcourse guidance design.Secondly,by introducing the spectral representation of the control commands and the low dimensional weighted matrix,the generalized quasi-spectral model predictive static programming algorithm under time fixed is derived.Otherwise,the Legendre pseudo-spectral method and adaptive Gauss-Lobatto integral method are combined to improve the efficiency of the algorithm.Finally,the algorithm is used in the guidance design.The simulation results show that the midcourse guidance law proposed in this paper can satisfy the zero effort shift constraints,the control cost is smaller,and the guidance accuracy and calculation efficiency are higher.In addition,the midcourse guidance law under the premise of meeting real-time requirements,has a stronger robustness to the initial state disturbance and parameter perturbation by the Monte Carlo simulation.

关 键 词：中制导 零控拦截 中末交班约束 模型预测静态规划 LEGENDRE伪谱法 自适应Gauss-Lobatto积分 

分 类 号：V448.133[航空宇航科学与技术—飞行器设计]