Interception time and uncertainty optimization for tangent-impulse orbit interception problem  

作　　者：Yang Hong Li Xin-hong Ding Wen-zhev 

机构地区：[1]Department of Aerospace Science and Technology,Space Engineering University,No.1 BaYi Road,HuaiRou District,Beijing,101416,China

出　　处：《Defence Technology（防务技术）》2022年第3期418-440,共23页Defence Technology

摘　　要：The traditional tangent impulse interception problem does not consider the influence of actual deviation.However,by taking the actual state deviation of the interceptor into the orbit design process,an interception orbit that is more robust than the nominal orbit can be obtained.Therefore,we study the minimum time interception problem and the minimum terminal interception error problem under tangent impulse conditions and give an orbit optimization method that considers the interception time and the interception uncertainty.First,we express the interceptor's transfer time equation as a form of flight path angle,establish a global optimization model for solving the minimum time tangent impulse interception and give a hybrid optimization algorithm based on Augmented Lagrange Genetic Algorithm-Sequential Quadratic Programming(ALGA-SQP).Secondly,we use the universal time equation and Bootstrap resampling technology to calculate the interceptor's terminal error distribution and establish the relevant global optimization model by using the circumscribed cuboid volume of the interceptor's terminal position error ellipsoid as the optimization index.Finally,we combined the above two singleobjective optimization models to establish a global multi-objective optimization model that considers interception time and interception uncertainty and gave a hybrid multi-objective optimization algorithm based on Non-dominated Sorting Genetic Algorithm Ⅱ-Goal Achievement Method(NSGA2-GAM).The simulation example verifies the effectiveness of this method.

关 键 词：Tangent impulse interception Minimum time Interception uncertainty Multi-objective optimization Hybrid optimization 

分 类 号：TJ761.7[兵器科学与技术—武器系统与运用工程] V412[航空宇航科学与技术—航空宇航推进理论与工程]