基于伪谱法的定向定时航迹规划方法  

Trajectory Planning With Determinate Impact Angle and Time Constraints Based on Pseudospectral Method

作　　者：张利民[1] 孙明玮[1] 陈增强[1] 张兴会[2] 

机构地区：[1]南开大学计算机与控制工程学院,天津300071 [2]天津中德职业技术学院,天津300350

出　　处：《弹道学报》2013年第3期1-5,12,共6页Journal of Ballistics

基　　金：国家自然科学基金项目(61174094;60904064);天津市科技支撑计划基金项目(09ZCKFSF00500);教育部博士点基金项目(20090031110029)

摘　　要：为提高导弹的突防概率和协同攻击目标,需要对攻击角度和攻击时间同时进行协调,针对此,研究了Gauss伪谱法,并将其引入到导弹的航迹规划中。基于导弹的质点模型,通过Gauss伪谱法将存在边值、过载和禁飞区等约束条件的导弹最优航迹设计问题转化成一个非线性规划问题,并进行求解;对传统过载性能目标函数进行了改进,使导弹后期飞行轨迹平滑,过载需求降低,对多导弹协同攻击静止目标进行了仿真验证。仿真结果表明,利用Gauss伪谱法可在10s内获得一条满足要求的平滑飞行航迹,过载满足要求并降低了末段控制压力,提高了导弹的突防能力。The impact angle and time of cruise missile should be coordinated in order to improve the pen- etration probability. Aiming at this problem, Gauss pseudospectral method （GPM）was employed to control impact angle and time simultaneously in the trajectory planning of missile. Based on the mass- point model,the optimal trajectory planning with terminal constraints, acceleration constraint and no-fly zone constrains was reformulated as a nonlinear programming problem by using GPM. The traditional ac- celeration cost function was modified to smooth the final flight trajectory and reduce the terminal control requirement. Several missile collaboratively attacking surface target were simulated. The results demonstrate that a smooth flight trajectory can be obtained within 10 s by using GPM. The acceleration requirement is satisfied to reduce the terminal control pressure. This strategy is helpful to improve the penetration ability of the missiles.

关 键 词：协同攻击 航迹规划 约束 过载 GAUSS伪谱法 

分 类 号：V249.122.2[航空宇航科学与技术—飞行器设计]