基于多区间Radau伪谱法带末端约束的轨迹优化  

Optimization of Trajectory with Terminal Constraints Based on Multiple Phase Radau Pseudospectral Method

作　　者：颜楚雄 童轶男[1] 宋加洪[1] 卢宝刚[1] 赵亮博 Yan Chuxiong;Tong Yinan;Song Jiahong;Lu Baogang;Zhao Liangbo(Beijing Institute of Space Long March Vehicle,Beijing 100076,China)

机构地区：[1]北京航天长征飞行器研究所,北京100076

出　　处：《战术导弹技术》2021年第2期94-100,共7页Tactical Missile Technology

摘　　要：为了精确打击地面目标以及提高毁伤能力,导弹在末端轨迹优化设计时需要满足多种约束。通常关注的约束包括落点位置、落速和落角,但较少考虑对毁伤效能有较大影响的末端攻角约束。因此,在末端轨迹优化设计时,将上述多种约束同时考虑,采用多区间Radau伪谱法,同时离散控制量与状态量,把最优控制问题转化为一般的非线性规划问题进行求解。仿真结果表明,该方法能够生成满足各项末端约束要求的优化轨迹,导弹能够以期望落角、落速和末端攻角攻击地面目标,达到理想效果。设计得到的弹道曲线光滑,较易实现。In order to strike the ground target precisely and improve the ability of damage,the missile’s design optimization of trajectory is required to satisfy the different constraints.The common concerned constraints includes terminal impact location,terminal impact velocity and terminal impact angle,but the terminal angle of attack in hitting the target is less considered which has strong influence on the ability of damage.Thus,in the optimization design of terminal trajectory,the above constraints are considered at the same time.By using multiple phase Radau pseudospectral method,the state and control variables are discretized and the optimal control problem is transformed into nonlinear programming problem.The simulation results show that the proposed method can optimize the missile’s trajectory which satisfies the several terminal constraints.The missile could strike the ground target with the desired terminal angle of attack,impact angle and velocity,and obtain the ideal damage effect.The generated trajectory curve is smooth and easily achieved.

关 键 词：末端攻角 多约束 多区间Radau伪谱法 最优控制 轨迹优化 毁伤能力 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]