载人航天
載人航天
재인항천
MANNED SPACEFLIGHT
2014年
5期
443-448
,共6页
跳跃式再入走廊%路径约束%滚转角约束%两层优化策略
跳躍式再入走廊%路徑約束%滾轉角約束%兩層優化策略
도약식재입주랑%로경약속%곤전각약속%량층우화책략
skip entry corridor%path constraints%bank constraints%two-level optimization strategy
探月飞船升阻比较低,再入时为达到长的飞行纵程,必须采用跳跃式再入方式。考虑多种约束条件,对跳跃式再入走廊进行了优化设计。首先,对路径约束进行分析,根据跳跃式再入轨迹的动力学特性对轨迹进行分段,推导了关键段中路径约束间的解析关系式,并在此基础上对优化问题进行了简化;其次,对滚转角速度约束进行分析,通过选择合理的离散点个数来保证角速度约束的满足;最后,为保证结果的高精度与全局最优性,采用两层优化策略进行求解,先利用高斯伪谱法得到控制变量初值,再将初值代入直接打靶法中计算得到最终结果。仿真结果表明:路径约束分析结果与优化结果保持一致,可在一定程度上简化优化问题;对滚转角速度约束的处理简单有效;两层优化策略能使问题快速收敛到满足约束的高精度解。
探月飛船升阻比較低,再入時為達到長的飛行縱程,必鬚採用跳躍式再入方式。攷慮多種約束條件,對跳躍式再入走廊進行瞭優化設計。首先,對路徑約束進行分析,根據跳躍式再入軌跡的動力學特性對軌跡進行分段,推導瞭關鍵段中路徑約束間的解析關繫式,併在此基礎上對優化問題進行瞭簡化;其次,對滾轉角速度約束進行分析,通過選擇閤理的離散點箇數來保證角速度約束的滿足;最後,為保證結果的高精度與全跼最優性,採用兩層優化策略進行求解,先利用高斯偽譜法得到控製變量初值,再將初值代入直接打靶法中計算得到最終結果。倣真結果錶明:路徑約束分析結果與優化結果保持一緻,可在一定程度上簡化優化問題;對滾轉角速度約束的處理簡單有效;兩層優化策略能使問題快速收斂到滿足約束的高精度解。
탐월비선승조비교저,재입시위체도장적비행종정,필수채용도약식재입방식。고필다충약속조건,대도약식재입주랑진행료우화설계。수선,대로경약속진행분석,근거도약식재입궤적적동역학특성대궤적진행분단,추도료관건단중로경약속간적해석관계식,병재차기출상대우화문제진행료간화;기차,대곤전각속도약속진행분석,통과선택합리적리산점개수래보증각속도약속적만족;최후,위보증결과적고정도여전국최우성,채용량층우화책략진행구해,선이용고사위보법득도공제변량초치,재장초치대입직접타파법중계산득도최종결과。방진결과표명:로경약속분석결과여우화결과보지일치,가재일정정도상간화우화문제;대곤전각속도약속적처리간단유효;량층우화책략능사문제쾌속수렴도만족약속적고정도해。
For lunar module with low lift-to-drag ratio , skip entry trajectory must be flown to achieve long downrange.In this paper, skip entry corridor was designed considering multi-constraints. First, path constraints were analyzed , analytic relations among them were formulated based on the dynamic feature of skip entry trajectory .Simplification could be made to the original problem .Sec-ond , bank rate and bank acceleration constraints were analyzed .Bank rate constraint could be satis-fied when the number of discrete points was choosing reasonably .Third, considering both the global optimality and high-accuracy of solution , a two-level optimization strategy was proposed .Initial guess of controlled variable was obtained using Gauss pseudospectral method , then the optimal re-sults was obtained using direct shooting .The results indicate that numerical optimization results are in good accordance with the theoretical results of path constraints analysis , the bank constraints en-forcement method proposed in this paper is valid and easy to implement , and the proposed optimiza-tion strategy can obtain high-accuracy optimal solutions which satisfy all the constraints .